unmanned air vehile (uav) wing design and manufacture
TRANSCRIPT
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Unmanned Air Vehicle (UAV) Wing Design
and Manufacture
Submitted by
Chong Shao Ming
Department of Mechanical Engineering
In partial fulf il lment of the requirements for
Degree of Bachelor of Engineering
National University of Singapore
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Summary
This paper documents the development of a UAV wing, encompassing the entire process
from design to manufacture, and finally its implementation on an aircraft. Beginning with
wing design and analysis, requirements are first identified and related concepts are
formulated. A literature survey is then conducted to establish focus for analysis.
Analysis is conducted for the four main design parameters. Firstly, airfoil selection is decided
using 2D CFD analysis. Verification of Xfoil is done by evaluating its results with available
wind tunnel data. It is subsequently used to extend the data library to incorporate a wider
selection. Reviewing the lift and stability requirements as well as stall patterns, GEMINI and
NACA0012 are the final selections for wing and tail airfoils respectively. Limitations of Xfoil
necessitate the use of 3D CFD analysis tool, Fluent, on planform selection. Justification is
first established for the choice of k-omega (Shear Stress Transportation) turbulent model.
Aerodynamic data is then generated for four different planforms with different
combinations of rectangular and tapered section. Their drag coefficients were found to be
lower than the baseline. However, they are not convincingly significant to justify their
selection over the rectangular baseline, which yields practical and aerodynamic benefits. For
dihedral and the sizing of control surfaces, practical data on stability and control derivatives
are derived from literature. Computations are subsequently carried out to determine the
design parameters.
To fabricate the wings, a computer numerical controlled system was developed. It
comprises of three sections. The mechanical parts were fabricated from scratch, while the
electronic components and the software were obtained from credible sources. To optimize
the performance of the system, mechanical calibrations were first carried out. The selection
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of wire heat and cutting speed has significant implications on the dimensional accuracy,
hence, empirical tests are conducted to derive the optimum values. Finally, the accuracy
and precision of the system is put the test through a detailed inspection of fabricated airfoils
cross section. The coordinates were registered and analyzed using Xfoil to yield
aerodynamic data. Differences were deemed acceptable.
With the established fabrication process, prototype aircrafts were assembled subsequently.
Other than demonstrating air worthiness, flight test is the most practical way to verify the
results from computational analysis. To achieve this, flight instruments and a data storage
device are mounted on the aircraft and flight data were collected. Analyses of the records
were carried out to derive the lift and glide ratio. Deviations from computational analysis
were justified and accounted for.
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Acknowledgements
The author wishes to express sincere appreciation to the supervisor, Assoc Prof Gerard Leng
for his patience and guidance throughout the course of project. His role as a mentor was
invaluable. Gratitude is also extended to the Staff and Technicians of the Dynamics Lab for
their administrative and technical support. Special appreciation also goes to Mr Anthony
Low, President of Radio Modellers Singapore, for his kind assistance in flight test.
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Table of Contents
List of Figures ....................................................................................................................... i
List of Tables ....................................................................................................................... iii
List of Symbols.....................................................................................................................iv
Introduction ........................................................................................................................ 1
Background and Overview ......................................................................................................... 1
Objectives .................................................................................................................................... 1
Design and Analysis ............................................................................................................. 2
Methodology............................................................................................................................... 2Requirements and Parameters .................................................................................................. 3
Mission Requirements ........................................................................................................... 3
Categorization of Parameters ................................................................................................ 3
Critical Performance parameters .......................................................................................... 4
Determining Stability Requirements ..................................................................................... 5
Literature Survey ........................................................................................................................ 5
Findings for Airfoil .................................................................................................................. 5
Findings for Planform ............................................................................................................. 6
Concept of Dihedral................................................................................................................ 7
Control Surfaces ..................................................................................................................... 8
Analysis ........................................................................................................................................ 8
Scope ....................................................................................................................................... 8
Airfoil Analysis and Selection .............................................................................................. 9
Planform Analysis and Selection ......................................................................................... 14
Dihedral Analysis and Computation .................................................................................... 18Control Surfaces Analysis and Computation ...................................................................... 18
Fabrication ........................................................................................................................ 20
Implementing CNC Solution ..................................................................................................... 20
Mot ivations ........................................................................................................................... 20
System Design, Manufacture and Assembly ...................................................................... 21
System Calibration and Optimization ................................................................................. 22
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Fabrication Precision Analysis.................................................................................................. 23
Mot ivation and Procedures ................................................................................................. 23Results ................................................................................................................................... 24
Fabrication and Assembly .................................................................................................... 26
Flight Test and Analysis ..................................................................................................... 27
Motivation ................................................................................................................................. 27
Deriving glide ratio ................................................................................................................... 27
Diagnosis of preliminary flights ............................................................................................... 28
Analysis of flight data ............................................................................................................... 28
Results and Evaluation ............................................................................................................. 29
Verifying Lift .......................................................................................................................... 30
Verifying CL/CD ..................................................................................................................... 30
Recommendations .................................................................................................................... 30
Conclusion ......................................................................................................................... 31
References ......................................................................................................................... 32
Appendices .......................................................................................................................... a
Requirements and Parameters .................................................................................................. a
Fabrication Design and Assembly ........................................................................................... b
Fabrication Calibration and precision check...................................................................... c
Fabrication Customisation and innovation in design ........................................................ d
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i
List of Figures
Figure 1: Project Overview ............................................................................................................. 1
Figure 2: Methodology ................................................................................................................... 2
Figure 3: Dihedral Effects ............................................................................................................... 7
Figure 4: GEMINI (Cl vs alpha) ........................................................................................................ 9
Figure 5: GEMINI (Cl vs Cd)............................................................................................................. 9
Figure 6: ClarkY (Cl vs alpha) ........................................................................................................ 10
Figure 7: ClarkY (Cl vs cd) ............................................................................................................. 10
Figure 8: NACA64010 (Cl vs alpha) .............................................................................................. 10Figure 9: NACA64010 (Cl vs Cd) ................................................................................................... 10
Figure 10: SD8020 (Cl vs alpha).................................................................................................... 10
Figure 11: SD8020 (Cl vs Cd) ........................................................................................................ 10
Figure 12: Comparing Xfoil data .................................................................................................. 11
Figure 13: Comparing actual data ................................................................................................ 11
Figure 14: Cl vs alpha for short listed wing airfoils ...................................................................... 12
Figure 15: Cl/Cd vs alpha for short listed wing airfoils ................................................................ 12
Figure 16: Cl vs alpha for short listed tail airfoils......................................................................... 13
Figure 17: Cl / Cd vs alpha for short listed tail airfoils ................................................................. 13
Figure 18: ComparingTurbulence Models (Cl vs Cd) .................................................................. 15
Figure 19: ComparingTurbulence Models (Cl vs alpha) ............................................................. 15
Figure 20: Comparing Various Formulations .............................................................................. 15
Figure 21: Pressure Contour for Baseline ................................................................................... 16
Figure 22: Combination of Rectangular and Tapered Section ................................................... 16
Figure 23: CL vs CD for various planforms .................................................................................. 16
Figure 24: CL vs alpha for various planforms .............................................................................. 16
Figure 25: CL / CD vs alpha for various planforms ...................................................................... 17
Figure 26: Flap Effectiveness vs Surface Ratio ............................................................................ 20
Figure 27: Percentage deviation in Cut area vs Wire Current (for various cutt ing speeds) .... 23
Figure 28: Comparison between Actual and Fabricated Coordinates for GEMINI airfoil ........ 24
Figure 29: Comparison between Actual and Fabricated Coordinates for NACA0012 airfoil ... 24
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ii
Figure 30: Percentage deviation in dimension vs Position (GEMINI) ........................................ 24
Figure 31: Percentage deviation in dimension vs Position (NACA0012)................................... 24Figure 32: Comparing Cl vs alpha between Original and Fabricated GEMINI .......................... 25
Figure 33: Comparing Cl vs Cd between Original and Fabricated GEMINI ............................... 25
Figure 34: Comparing Cl vs alpha between Original and Fabricated NACA0012 ..................... 25
Figure 35: Comparing Cl vs Cd between Original and Fabricated NACA0012 .......................... 25
Figure 36: Assembly ...................................................................................................................... 26
Figure 37: Unpowered Glide ........................................................................................................ 27
Figure 38: 3D Flight path on map ................................................................................................ 29
Figure 39: Flight path - Altitude h (m) vs Distance R (m) ........................................................... 29
Figure 40: Assembled Units ............................................................................................................ c
Figure 41: Individual mechanical parts.......................................................................................... c
Figure 42: Soldered PCB ................................................................................................................. c
Figure 43: Individual Electronic Parts ............................................................................................ c
Figure 44: Wire Joint ....................................................................................................................... c
Figure 45: Markings for wire height .............................................................................................. c
Figure 46: Spirit level for horizontal alignment ............................................................................ c
Figure 47: Markings for parallel alignment ................................................................................... c
Figure 48: Set-up for Fabrication precision check ........................................................................ d
Figure 49: Close-up view to acquire coordinates ......................................................................... d
Figure 50: Flexibility in in adjusting tail position and angle ......................................................... d
Figure 52: Close-up view on control horns and rods.................................................................... d
Figure 51: Sleeve cuts to house structural reinforcements ......................................................... d
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iii
List of Tables
Table 1: Designated Objectives ...................................................................................................... 2
Table 2: Aircraft Specifications ...................................................................................................... 3
Table 3: Classification of Parameters ............................................................................................ 3
Table 4: Literature Survey Findings for Airfoil .............................................................................. 6
Table 5: Literature Survey Findings for Planform ......................................................................... 6
Table 6: Recommendation for Aileron .......................................................................................... 8
Table 7: Recommendations for Elevator and Rudder .................................................................. 8
Table 8: Scope of analysis............................................................................................................... 8Table 9: Selected Data for Wing airfoils ...................................................................................... 12
Table 10: Selected Data for Tail airfoils ....................................................................................... 13
Table 11: Short list of Turbulence Models from literature ......................................................... 14
Table 12: Planform Cases ............................................................................................................. 16
Table 13: Fluent results for various planforms ........................................................................... 17
Table 14: Computation results for various control surfaces...................................................... 20
Table 15: Innovation in mechanical design ................................................................................. 21
Table 16: Fabrication Procedures and Time taken ..................................................................... 26
Table 17: Diagnosis of Preliminary Flights .................................................................................. 28
Table 18: Selected Flight data ...................................................................................................... 29
Table 19: Parameters from optimization ...................................................................................... a
Table 20: Breakdown of Mechanical Parts.................................................................................... b
Table 21: Breakdown of Electronic parts ...................................................................................... b
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iv
List of Symbols
Angle of attack, deg Aspect ratio - Span, m Sidewash, deg Chord, m Mean chord, m Sectional drag coefficient Drag coefficient Aileron Control Power, deg-1 Sectional lift coeff icient Slope of sectional lift curve, deg-1 Lift coefficient Slope of sectional lift curve, deg-1 Slope of rolling moment coefficient due to sideslip
Slope of pitching moment coefficient, deg-1
Elevator Control Power, deg-1 Slope of yawing moment coefficent due to sideslip, deg-1 Rudder Control Power, deg-1 Aileron deflection, deg Elevator deflection, deg Rudder deflection, deg
Drag, N Downwash angle, deg Dihedral angle, deg Lift , N Tail efficiency Reynolds Number
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v
Density, kg/m3
Sidewash angle, deg Aileron surface area, m2 Elevator surface area, m2 Rudder surface area, m2 Horizontal tail surface area, m2 Vert ical tail surface area, m2 Flap effectiveness Freestream velocity, m/s Vertical tail volume ratio - Horizontal tail volume ratio - Weight, N Distance of centre of gravity from wing leading edge, m Distance of neutral point from wing leading edge, m
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1
Introduction
Background and Overview
The interest in Unmanned Air Vehicles has increased tremendously over the past decade
and a rise in its employment has been predicted (1) for the next twenty years to come.
Studies have been carried out on overall aspects of UAV design, such as cost-effectiveness
(2) and multidisciplinary optimization (3).
Currently, in the area of wing studies, majority of the work are dedicated the assessment of
novel concepts such as inflatable and retractable wings (4), (5). This paper focuses on the
development of conventional wings for a Class 1 (as defined in (1)) UAV. The entire process
will be covered, from the design and analysis to fabrication using a computer controlled
system. Finally, a flight evaluation was conducted to verify the design. Hence, this project
encompasses a larger intent, which is to assemble an actual UAV with mission capabilities.
Collaboration with three other team members is required, each handling an aspect of the
UAV. The diagram below depicts an overview.
Objectives
The project can be divided into three main components namely (1) Design and Analysis, (2)
Fabrication and (3) Flight Test. Each component comprises of designated objectives to be
fulfilled to complete the assignment.
Reference
Support
Wing and TailParameters
Optimization
UAV with capabilities
Project Requirements
ConstraintPropulsion
Structure
Establish objectives
Fulfill Objectives
Analysis
results
Figure 1: Project Overview
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2
Design and Analysis
Methodology
Basically, the task of designing involves the manipulation of physical parameters to alter the
aerodynamics. In turn, this will have direct influence over the aircraft performance and
stability, and hence, its mission capabilit ies.
The design process begins with identifying the desired performance and stability, as well as
the various design parameters to fulfill mission requirements. Subsequently, through
application of fundamental theory and literature reviews, a shortlist will be generated for
each parameter. Subsequently, a series of computational analyses will be performed to
justify the final selection. With the parameters generated, fabrication of the wing prototype
can then be carried out.
Components Designated Objectives
(1) Design and Analysis Designing solutions (i.e. selection of appropriateparameters) to meet mission requirements
Justification using computational analysis(2) Fabrication Development of a CNC solution to enable rapid and
precise production of 3D wings
Verification of equipment reliabilit y and worthiness(3) Flight Test and Analysis Demonstration of airworthiness
Evaluation of actual f light data
Requirements and
Parameters
Literature
SurveyAnalysis Parameters for
Fabrication
Table 1: Designated Objective
Figure 2: Methodolog
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3
Requirements and Parameters
Mission Requirements
The mission requirements of the UAV govern the design of wing. The table below shows the
general specifications of the aircraft modeled after typical UAVs available in the market.
Specifications
Designated Task short range surveillance
Payload Total aircraft weight < 1kg with Camera and data logger
Configuration Pusher, high-wing
Takeoff/ recovery Hand launched takeoff and Belly assisted landing
Maneuverability Turning radius of
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4
Critical Performance parameters
Lift for aircraft vsThe relationship between the lift coefficient and its corresponding angle of attack is the
most essential data for wing and tail design. It is primarily governed by the airfoil selection
and the planform. Aerodynamic concepts have been developed to link the sectional Cl of a
2D airfoil to 3D wings of finite span using Lifting line theory. It states that (6)
=
+ 2
LLT has proven to be reasonably accurate for straight wings in regions before stall .
Range and Endurance
vs and/Other than drag estimation, the relationship between drag and lift coefficient is crucial in
determining the range and endurance of the aircraft. In performance terms (7),
Range
=
1
=
1
Endurance
= 1
However, it must be noted that for radio controlled flight range is also limited by the radius
of the signal strength of transmitter and the endurance cannot last beyond its battery
duration.
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5
Determining Stability Requirements
Flight stability is a necessity for typical aircrafts. Conditions for static stability, which is the
tendency of the platform to return to its initial position after a disturbance (8), are shown
below.
Longitudinal Stability
Slope of aircraft pitching moment curve,
= + + Contribution to pitching moment from wing and tail
= ; = 1
Lateral Stability
Slope of aircraft pitching moment curve,
= + Contribution to yawing moment from vert ical tail,
= 1 +
Slope of aircraft rolling moment curve is largely dependent on the dihedral,
= .2 ()/
The criteria for static stability is given by
< 0, > 0, < 0Literature Survey
Findings for Airfoil
For considerations involving airfoil selection, literature review yields the following.
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6
Shape Key characteristics Applications
Heavily
CamberedHigh L, low D, low CM
Wings on high endurance UAVs, RC
sailplanes
Moderately
CamberedHigh L, low D, moderate CM
Wings on short range UAVs, RC
sports plane
Symmetrical Moderate L, Moderate D, low CMHorizontal and Vertical Tail,
Aerobatics
Empirical aerodynamic data is compiled in (9) for a selected number of airfoils in each
category. For the wing airfoil section, moderately cambered airfoil is highly recommended
for the assigned mission profile (10). The tail sections (horizontal and vertical), symmetrical
airfoils is the only intuitive option as provisions must be made for lift to be generated on
upper and lower surface.
Findings for Planform
The planform of a wing influences the lift distribution on it, and thus the flight performance.
Findings from (7), (10) are summarized below.
Profile Advantage Disadvantages
Elliptical1. Lowest induced drag
2. Stalls evenly across spans1. Difficult to fabricate
Rectangular1. Constant Re reduces risk of t ip stall
2. Easy to fabricate
1. Higher induced drag
2. Higher bending moments
Tapered
1. Lower induced drag than rectangular
planform
2. Smaller bending moment
1. Risk of t ip stall
Combined
Rect. &
tapered
1. Approach advantages of elliptical
2. Easier to fabricate
1. Hazards of t ip stall
remains
Table 4: Literature Survey Findings for Airfoi
Table 5: Literature Survey Findings for Planform
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7
Despite the advantages of elliptical planform, this option is eliminated due to complexities
involved in its production. Hence, only the feasibility of introducing taper will be explored.
Here, the optimum planform selection is a compromise between structural and lower drag
benefit of small and aerodynamic lift benefit of large (7)This prompts the investigation
of a combined rectangular and tapered planform.
Planform of tail sections are of secondary concerns. Their primary role is to provide stability
in the UAV and this has been resolved in the optimization process through the allocation of
dimensions. Horizontal tail will adopt a rectangular profile. Vertical tail will adopt a tapered
ratio of 0.8. To maximize rudder area, sweepback will also be introduced such that trailing
edges align vertically.
Concept of Dihedral
Dihedral is known to bring about rolling stability. A dihedral angle of can bring about
stabilizing effects by altering the resultant (positive will lead to higher lift) when
sideslip occurs. Given that the sideslip and dihedral angles are small,
= = .
The change in angle of attack will in turn alter the lift on both sides of the wing, hence
resulting in a restoring moment. Recommendations from (10) yield an angle of 2 degrees.
Figure 3: Dihedral Effect
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8
Control Surfaces
There are two main aspects to the design of control surfaces, i.e. their position and size.
Varying them will give different degrees of control effectiveness in terms of roll, pitch and
yaw. Findings from (10) yield preliminary guidelines for the various surfaces.
Type of aileron Strip aileron
/ 0.051 to 0.c / b 0.18c from trailing edge / 0.3b
Elevator Rudder
/ 0.3 to 0.35 / 0.3 to 0.5
Analysis
Scope
From the previous section, the tasks for the various parameters can now be allocated
Tasks
Airfoil Selection within the moderately cambered category
Planform Selection of the best combination of rectangular and taper
Dihedral Verifying the angle from literature with theoretical analysis
Control Surfaces Verifying the sizes from literature with theoretical analysis
Analysis will be focused on Wing. For tail sections, the scope of this project only requires
them to fulfill the function of pitch and yaw control, as well as to maintain flight stability.
Table 6: Recommendation for Aileron
Table : Recommendations for Elevator and Rudder
Table 8: Scope of analysi
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9
Airfoil Analysis and Selection
Validating Xfoil
Background and Motivation
Xfoil is an interactive program for the design and analysis of subsonic isolated airfoils. It is
widely received as a credible tool (11), (12) for analysis of airfoil by coupling viscous and
inviscid formulations. The main purpose of validating Xfoil is to extend the limited library of
airfoil data in the most efficient manner. Available literature (9) only have data of a few
airfoils and are limited to Re at intervals of 5 10. Besides this, incorporating a wider
range airfoil will improve the credibility of the final selection. Finally, given Xfoils relatively
short computation time, aerodynamic data can be generated quickly across different airfoils.
Execution and Evaluation
Data from available literature will be compiled and compared with the plots from Xfoil
under the same Re. This is carried out for 4 different airfoils at = 10 where real data isavailable from (9). They are Clark Y, GEMINI, NACA64-A-10 and SD8020.
Data accuracy
Figure 4: GEMINI (Cl vs alpha) Figure 5: GEMINI (Cl vs Cd)
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10
From the graphs, it is observed that the slope of the lift curves generated by Xfoil is fairly
accurate. The highest deviation belongs to Clark Y, with a percentage of 4.91%. Besides this,
the stall patterns for the wing candidates are well approximated too. With exceptions to
NACA0009 It can be seen also that viscous formulations are well documented in Xfoils
codes as drag estimations are accurate at values before stall.
Figure 6: ClarkY (Cl vs alpha) Figure : ClarkY (Cl vs cd)
Figure 8: NACA64010 (Cl vs alpha) Figure 9: NACA64010 (Cl vs Cd)
Figure 11: SD8020 (Cl v Cd)Figure 10: SD8020 (Cl v alpha)
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11
Data trends
To further justify the use of Xfoil to compare and contrast data of different airfoils, the
trends for the lift curves are examined. It is observed that in terms of stall angles, (),and (), the order is the same for both the actual and Xfoil data.
Applying Lifting Line Theory to determine preliminary lift criteria
With Xfoil proven to be a credible data generator, data is generated for 8 airfoils, doubling
the size of data at hand. To begin, the required lift coefficient for the finite wing has to be
determined. For a 1 kg UAV cruising at a speed of 15m/s,
= 12 =
9.81
0.5 1.225 15 0.204 = 0.349
Using Lifting Line Theory earlier, as well as introducing a factor of 1.1, the minimum
sectional
was can be determined
= = 1.1 + 2 = 0.494Determining stability requirements
For Stability, the minimum criteria is < 0.017 as imposed by the opt imization process =
1
Figure 12: Comparing Xfoi dataFigure 13: Comparing actual data
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12
Substituting values from optimization, the minimum tail lift slope,
= 11 2 +
= 11 27.0180.687
(0.157) + 0.017
Where will be resolved after selection of wing airfoil
Results and Evaluation
Wing Lift Criteria and Stall Pattern
Table 9: Selected Data for Wing airfoils
Clark E197 GEMINI NACA 2415
Max 1.38 1.15 1.14 1.22Max/ 68 68 62 60 @=5o 0.82 0.76 0.8 0.75
/
@=5o 68 55 55 54
Stall angle 11 13 14 14
Stall pattern
Relatively
Sharp
Gentle over
range of 4
degrees
Gentle over
range of 5
degrees
Relatively
Sharp
Figure 14: Cl vs alpha for shortlisted wing airfoils Figure 15: Cl/ Cd vs alpha for shortlisted wing airfoil
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13
All of the airfoil fulfills the minimum sectional Cl. Comparing all aspects, GEMINI airfoil gives
the best overall result. E197 comes close however it loses out slightly over the stall pattern,
which is crucial for short range RC flight.
Cd follows a nearly vertical trend, constant drag for varying wing loadings which will aid in
the design of propulsion system (13).
Tail Stabili ty Criteria
Table 10: Selected Data for Tail airfoils
NACA64A-010 SD8020 NACA009 NACA0012
Max 0.7 0.92 0.84 1Max/ 35 45 42 45 @=5o 0.6 0.6 0.6 0.6@=5o 0.08 0.08 0.08 0.08/ @=5o 35 45 42 45Stall angle 6 10 10 10
Stall pattern Moderatelygentle
ModeratelySharp
ModeratelySharp
ModeratelySharp
With GEMINI selected as wing airfoil and applying the Lifting Line theory,
= + 2 = 0.0747 7
9= 0.0581
Figure 16: Cl vs alpha for shortlisted tail airfoil Figure 17: Cl / C vs alpha for shortlisted tail airfoil
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14
> 0.0123 For all the tail airfoils selected, they are able to fulfill the stability criteria above. SD8020 and
NACA0012 both present themselves to be feasible options for tail airfoil. NACA0012 is
selected.
Planform Analysis and Selection
Motivation
The selection of the planform requires analysis on the 3D profile of the wing. The theoretical
formulation of LLT is insufficient as it assumes an inviscid model. On the other hand,
although Xfoil accounts for viscous effects, it is only limited to 2D airfoil. The CFD software
Fluent provides the solution to this problem. The wing model will be created in Solidworks
and transferred to Gambit for meshing.
Turbulence model analysis
The current flow problem belongs to the low Re category. Findings from (14) have
shortlisted 3 suitable turbulence models, which will be assessed in this section.
Table 11: Shortlist of Turbulence Models from literature
Key Features
Spalart-Almaras Solves for eddy viscosity
K-Omega (standard) Calculates specific turbulence dissipation rate
K-Omega (Shear Stress Transportation) Account for transport of turbulent shear stress
Plotting the coefficients of lift and drag at various angles of attack yield the following
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From the graph, it can be observed that the standard version of k-omega model does not
agree with the other two especially in terms of drag estimation. Eliminating it leaves the
Spalart-Almaras model and the modified K-omega model. The latter emerged a better
option as it is able to model flow separation at high with a decline in lift coefficient unlike
the straight line trend in SA.
Further Justifications
To further justify the selection, results from 2D analysis and Lifting Line Theory are
compared with the SST model. A significant discrepancy can be observed between for the
LLT model due to its inability to account for viscous effect.
Figure 18: ComparingTurbulence Models (Cl vs Cd)Figure 19: ComparingTurbulence Models (Cl vs alpha)
Figure 20: Comparing Various Formulation
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In addition, the pressure contour plot of SST displays a realistic distribution, where losses
can be observed at the wing tips due to the trailing vortex.
Results and Discussion
With the best k-omega model selected, data is generated for 4 different permutations of
rectangular and taper planform.
Table 12: Planform Cases
Case 1 2 3 4
y 0.5 0.5 0.75 0.75
0.5 0.75 0.5 0.75
Results
y
Figure 21: Pressure Contour for Baseline
Figure 22: Combination of Rectangular
and Tapered Section
Figure 23: CL vs CD for various planformFigure 24: CL vs alpha for various planform
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Table 13: Fluent results for various planforms
Baseline 1 2 3 4
Max 0.9177 0.9780 0.9482 0.9551 0.9473Max/ 5.5702 5.7109 5.7330 5.7382 5.6803 0.0488 0.0502 0.0495 0.0485 0.0487 @=5o 0.3637 0.3881 0.3851 0.3817 0.3766 @=5o (N) 10.225 9.547 10.150 10.060 10.257
/ @=5o 5.2599 5.4538 5.4801 5.5051 5.4631
Verification for Lift
To calculate lift ,
= 12.
For baseline, the lift at 15 m/s at 5
o
L = 10.225 N. This further verifies that the airfoil
selection provides sufficient lift for the aircraft of 1 kg (9.81 N).
Evaluation Drag Reduction vs Practicality
The results from various combinations do not exhibit data trends pertaining to variations in
taper ratio and the span of the rectangular section. The intent is to obtain the permutation
Figure 25: CL / CD vs alpha for various planforms
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which best approximates an elliptic planform, which is best approximated in case 3. This
combination gives the lowest drag coefficient and the highest glide ratio / at t rim flight.On the other hand, combinations which deviates from elliptical planform i.e. shorter
rectangular sections at y theis higher.
Although case 3 appears to be the best option, the rectangular planform is preferred. Firstly,
the savings on is rather insignificant (0.6147% reduction), with a penalty on its lift due
to its reduced surface area. In addition, the risk of incurring tip stall is higher for a tapered
planform, which will lead to loss of aileron control. Finally, with its ease of fabrication,
rectangular planform presents itself as the most practical option.
Dihedral Analysis and Computation
For a rectangular wing, the earlier formulation for roll stability due to sideslip becomes,
=
= From (15) and (16), the value of -0.125 is obtained for for Class 1 UAVs. This will give adihedral angle of 1.636. Available instrument for measurement is only accurate up to
1for fabrication. As such, the dihedral of 2will be adopted.
Control Surfaces Analysis and Computation
Concepts and Formulations
To quantify terms for analysis, the flap effectiveness parameter (8) is first introduced.
Generally, it can be expressed as the change in angle of attack due to the surface deflection,
=
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19
For each control surface, i.e. aileron, elevator and rudder, there is a required control power
which will govern their respective effectiveness parameter. From (8),
Aileron Control Power (for rolling), applying strip integration for a rectangular wing,
=2
= ( )
Elevator Control Power (for pitching),
= =
=
=
Rudder Control Power (for yawing),
=
=
=
=
Computation with data from literature
Typical values of control power for aircrafts similar to Class 1 UAVs can be obtained from
empirical findings in (15) and (16). Values of can be computed then. Finally, the control
surface area can be derived from the relationship between the surface ratios and
as
shown below (8).
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Figure 26: Flap Effectiveness vs Surface Ratio
Table 14: Computation results for various control surfaces
Ailerons Elevator Rudder
Control Power 0.181 -1.9 -0.12
0.1794 0.5366 0.6676 0.05 0.33 0.45
The values of the ratios fall well within the guidelines stated earlier in literature surveys, and
hence they will be employed in fabrication.
Fabrication
Implementing CNC Solution
Motivations
To meet the fabrication requirements, the process must involve a Computer Numerical
Control (CNC) method. Instead of adopting the method of arranging 2D precision cuts into
wingspan, the design of a 3D foam cutter is proposed. Despite the uncertainties in reliability,
the advantages are numerous.
1. Offers precision and accuracy in shaping complex geometries compared to manualmeans of arranging 2D sections
2. Capable of rapid prototyping, hence allowing extensive tests to be carried out
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3. Allows flexibility in re-configuration of wing for different mission profile4. DIY machine costs only a fraction (
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from PCB to motors. To ensure no errors in circuitry, voltage tests carried out using
mulitmeter.
Software
Research has found several CNC softwares. GMFC is justified to be the best option. It is
easily available online for free, with good reviews awarded. Besides this, there will not be
any compatibility issues as GMFC works seamlessly with FoamPro PCB.
System Calibration and Optimization
Synchronizing Software with Electronics
In preliminary testing, it was ensured that inputs into the PC results in a correct
corresponding response from the motor.
Carriage Positioning and Alignment
The positioning and alignment of carriages is important to ensure precision in cutting. Firstly,
using a spirit level, the entire setup is calibrated to the level position. Markings were also
placed at appropriate locations facilitate the parallel alignment of carriages and the
positioning of wire to the horizon. It is noted that markings are accurate up to 1 mm.
Optimization of Cutting
Motivation and Procedures
Before proceeding to the accuracy tests, it is necessary to determine the configuration for
optimum wire performance. A smooth cut depends on the cutting speed as wire heat
(controlled by varying current magnitude).
Issues with Underestimation Issues with Overestimation
Wire heat Unable to melt foam without contact Excessive kerf radius
Cutting Speed Prolonged heating Insufficient heat leading to contact
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As such, investigations are conducted on these two factors, current settings and cutting
speed. Trial cuts are carried out on scrap foam pieces of equal width of 2 cm, through a
same rectangular profile of 50.0 mm x 40.0 mm. Subsequently, deviations in the cut area
are tabulated in graphs below. Dimensions are measured using vernier calipers with
accuracy of 0.1Results
Figure 27: Percentage deviation in Cut area vs Wire Current (for various cutting speeds)
Cuts are carried out for 4 different current settings at 4 different speeds. At the cutting
speed of 1.25m/s and current output of 1.2 A, the deviation is the least among the trends,
hence establishing itself at the optimum point .
Fabrication Precision Analysis
Motivation and Procedures
With the system calibrated and optimized, the reliability can now be tested. To demonstrate
the precision of the foam cutter, investigations have to be carried out on the shape of the
airfoil. Samples cut sections of the wing and tail are fabricated and their coordinates are
plotted out using microscope magnifier and a X-Y table. The accuracy of the X-Y table is
0.001. The set-up is show in the appendix.
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Results
Deviations from input
Data coordinates obtained (in green) are scaled to the chord length and they are compared
with the original coordinate plot (red) which was uploaded to the foam cutter.
Figure 28: Comparison between Actual and Fabricated Coordinates for GEMINI airfoil
Figure 29: Comparison between Actual and Fabricated Coordinates for NACA0012 airfoil
Through visual observation, one can hardly observe any difference. As such, graphs are
plotted to display the percentage deviations. It is shown that the leading and trailing edges
have the highest discrepancies due to the complications in fabrication.
Figure 31: Percentage deviation in dimension vs
Position (NACA0012)
Figure 30: Percentage deviation in dimension vs
Position (GEMINI)
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CFD verification
For an airfoil, the most practical form of precision check is to evaluate the aerodynamic
results rather than the dimensional differences. This calls for Xfoil analysis to be carried out
on the coordinates of fabricated samples.
Comparing the graphs for GEMINI, the fabricated sample has a higher lift curve slope,
before experiencing an earlier but gentler stall. This could be attributed to the onset of
separation as a result of the blunt trailing edge. However, applying the same analysis earlier,
the lift requirement is met as the Clat cruise=5o is the same. Lower drag is also observed.
Figure 32: Comparing Cl vs alpha between Original
and Fabricated GEMINI
Figure 33: Comparing Cl vs C between Original andFabricated GEMINI
Figure 34: Comparing Cl vs alpha between Original
and Fabricated NACA0012Figure 35: Comparing Cl vs C between Original andFabricated NACA0012
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For NACA0012, there are hardly any observable differences for both lift and drag curves. As
the effects on aerodynamics are not significantly critical, the fabrication precision is deemed
acceptable.
Fabrication and Assembly
Procedures
With the system optimized and its precision verified, the way is paved for fabrication. The
procedures are listed below. To demonstrate the capability of rapid prototyping, the time
taken for each step is tabulated as well. A set of wings and tail can be ready for assembly in
less than 100 minutes.
Table 16: Fabrication Procedures and Time taken
Steps Time taken (mins)
1 Cutting of core sections of Wing and tail 20
2 Cutting of control surfaces and joining to core sections 40
3 Attaching control horns and rods 40
Assembly
The manufactured set is finally assembled into an aircraft. To facilitate the process, several
modifications are introduced. Sleeve cuts customized to house skeletal support. The
innovative tail design also allows flexibility in adjustments of position and angle.
Figure 36: Assembl
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Flight Test and Analysis
Motivation
The best testament for the wing design is to demonstrate its airworthiness. Flight also
provides the most practical mean to verify results from computational analysis. By
equipping the UAV with a flight instruments and data logger, information on flight can be
collected. The aircraft is installed with a GPS tracker, which will record its altitude as well as
latitude-longitude. The air speed is also collected by means of a pitot tube. Evaluation can
then be carried out by comparing the results with the ones from earlier analysis.
Deriving glide ratio
The glide ratio presents itself as a credible indicator for evaluation to be made. Besides
being a representative figure for range and endurance, it can also be easily derived. For an
unpowered flight,
Figure 37: Unpowered Glide
= =
= = 1 = With the altitude (h) and ground distance (R) recorded, the glide ratio can be determined.
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Diagnosis of preliminary flights
Prior to the final flight tests, several unsuccessful prototypes were built. Although the main
issue lies in the lack of skill in flying RC models, there were other fundamental problems
which were addressed before a successful model was constructed.
Table 17: Diagnosis of Preliminary Flights
Problems Rectifications
Prototype 1 Excessive cross sectional arealeading to unnecessary drag
Weakness in tail boom
Replaced Fuselage with a smallerone
Prototype 2 Discovered the lack of thrust Replaced propeller with a larger onePrototype 3 Weakness in horizontal structure Replaced aluminium rods with
carbon fibre rods
Analysis of flight data
With the issues resolved, successful flights were carried out and the data were collected in
one of them. Coordinates of the flight path will be plotted on a map (Google Earth).
Representative flight profiles for cruise and glide will be examined. The flight angle of attack
is determined by considering the in-built incidence of 5o and flight path with respect to
the horizon. With this reference angle, comparisons can then be made with theoretical
analysis results.
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Results and Evaluation
Figure 38: 3D Flight path on map
Figure 39: Flight path - Altitude h (m) vs Distance R (m)
Table 18: Selected Flight data
Profile / Sector Powered Cruise Theory Unpowered Glide Theory
5o 5o 14o 14oAverage speed 15.4 15 13 15
0.331 0.3637 - -/ - - 3.97 4.549
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Verifying Lift
By demonstrating that aircraft could climb, the lift criterion is met. To further verify,
can be inferred from a straight and level flight (at the designated cruise speed andwhere L=W.
@ = 12 =
12 =
9,81
12
1,225 15.4 0.204= 0.331
It can be observed that the lif t coeff icient in real flight is only slightly lesser (9%). This could
be attributed to interference from the aircraft body.
Verifying CL/ CD
With data input from the glide section,
@ =
=
66 38702.4
591.3
= 3.97
Comparing the flight test result and the theoretical value, a 12.7% deviation is observed.
This is expected as it only represents the glide ratio of the wing and not the entire aircraft.
Addit ional drag contributions from other components will result in a lower glide ratio.
Recommendations
This flight test also highlights areas where improvements can be implemented. To conduct
an accurate measurement of aerodynamic forces, a wind tunnel analysis can be employed.
However, detailed cost-benefit analysis must be carried out to ensure its cost-effectiveness.
In terms of material usage, other types of foam can be explored to seek a stronger and
lighter option. Again, its cost-effectiveness must be weighed. Subsequently, sheeting can
also be used to strengthen the wing as well to ensure a smoother air f low.
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Conclusion
The designated objectives for each section were met. This completes the entire wing
development, from design and analysis, to the optimization and evaluation of fabrication
process, and finally to its implementation on a actual UAV where flight analysis is performed.
With a comprehensive coverage on the fundamentals of a conventional wing design and
manufacture, this project is provides an excellent platform for further studies to be
conducted. As demonstrated, the capability of rapid prototyping encourages extensive tests
to be conducted. Coupled with an established design process, this grants the ability to
customize wings to perform optimally for different missions. More design parameters e.g.
geometric twist can be introduced. External features which augment aerodynamics e.g.
winglets can also be tested by mounting them on the baseline.
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References
1. Defense, US Department of.Unmanned Systems Roadmap 20072032. 2007.
2. Hypothesis about cost-effective unmanned offensive airplane vehicles. Chiesa, Sergio, et
al. 2000, Aircraft Design.
3. Mulitdisciplinary Optimisation of Unmanned Aerial Vehicles (UAV) Using Multi-Criteria
Evolutionary Algorithms. Gonzalez, Luiz. F., et al. s.l. : 6th World Congress of Structural and
Multi-criteria Evolutionary Algorithms, 2005.
4. Inflatable and Rigidizable Wings for Unmanned Aerial Vehicle.Cadogan, David, Graham,
William and Smith, Tim. s.l. : AIAA, 2003. 2003-6630.
5. Design, development and testing of a morphing aspect ratio wing using an inflatable
telescopic spar. Blondeau, Julie, Richeson, Justin and Pines, Darryll J. s.l. : AIAA, 2003. 2003-
1718.
6. Bertin, John J.Aerodynamics for Engineers. 1997.
7. Anderson, John D.Aircraft Performance and Design. 1998.
8. Nelson, Robert C.Flight Stability and Automatic Control. 1998.
9. Selig, Michael S., et al.Summary of Low-Speed Airfoil Data Volume 1. 1995.
10. Stinton, Darroll.The Design of an Airplane.2001.
11. Multi-objective evolutionary optimization of subsonic airfoils by meta-modelling and
evolution control. Angelo, S D and Minisci, E.s.l. : Proceedings of the Institution of
Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2007, Vol. 221.
12. The aerodynamic shape optimization of airfoils using unconstrained trust region methods.
Lee, Jaehun, Jung, Kyungjin and Kwon, Jang Hyuk. s.l. : Engineering Optimization, 2009 , Vol.
41.
13. Aircraft Design: A Conceptual Approach. Raymer, D. 2006, AIAA.
14. Catalano, Pietro and Amato, Marcello.An evaluation of RANS turbulence modelling for
aerodynamic applications . s.l. : Aerospace Science and Technology, 2003.
15. Rapid Flight Test Prototyping System and the Fleet of UAVs and MAVs at the Naval
Postgraduate School. Kaminer, Isaac I., et al. s.l. : AIAA, 2000.
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16. UAV stability derivatives estimation for hardware-in-the-loop simulation of Piccolo
autopilot by qualitative flight testing. Garcia, Esteban Gonzalez and Becker, Jon. s.l. :
Aerodreams, 2000.
17. Weick, Fred E. and Jones, Robert T.Resume and analysis of NACA lateral control
research.s.l. : NASA, 1937.
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a
Appendices
Requirements and Parameters
Table 19: Parameters from optimization
Dimension Parameters Performance Parameters
wing aspect ratio 7 weight 10.8 N
horizontal tail aspect ratio 5 angle of attack 5 degree
vertical tail aspect ratio 2 velocity 14.8 m/s
fuselage diameter 0.10 m wing loading 5.4 kg/m2
fuselage length 0.26 m Cm0 0.086
CG distance from wing
leading edge0.05 m Cmalpha -0.982
wing leading edge distance
from fuselage tip0.09 m static margin 15.70%
CG to tail distance 0.68 m
tail incident angle -0.6
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b
Fabrication Design and Assembly
Table 20: Breakdown of Mechanical Parts
Section Component Section Component
Y axis carriageVert ical square stand
Motor
Housing
L Bracket Front Mount (X)
Drawer slide L Bracket Rear Mount (X)
X axis carriage
L bar L Bracket End Plate (X)
Drawer slide
Actuator /
Connectors /
Adaptors
Threaded rod
Threaded rod Motor Coupler
Wooden base L bracket Connector
X Housing
L bar Threaded Long Nut
Horizontal plate L flat Bracket
Vert ical plateCutter
Nichrome wire
Tensioning device
Table 21: Breakdown of Electronic parts
Component Specification Functions
Controller/ driver Unipolar chopper Connects to PC via parallel port
Stepper Motors 2.1A, 200 S/R Precision control of the lead screw
Power supplies 12, 14 VD Supply power to electronic parts and
timer module on PCB
Variable power supply 30V,7A Supply heat to cutter
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c
Fabrication Calibration and precision check
Figure 40: Assembled Unit
Figure 42: Soldered PCFigure 44: Wire Joint
Figure 43: IndividualElectronic Parts
Figure 45: Markings for wire heightFigure 46: Spirit level for horizontal
alignmentFigure 4 : Markings for parallel
alignment
Figure 41: Individual mechanical part
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Fabrication Customization and innovation in design
Coordinates display
Video Output
Magnifier
Sample Cut
X-Y table
Figure 48: Set-up for Fabrication precision check
Figure 49: Clos -up view on coordinates acquisition
Figure 50: Sleeve cuts to housestructural reinforcements
Figure 52: Close-up view on contro
horns and rods
Figure 51: Flexibility in in adjusting
tail position and angle