vibration analysis on polyurethane matrix hybrid nano

Vibration Analysis On Polyurethane Matrix Hybrid

Nano Composites

Anbazhagan R1, G. Rekka2, R. Kalidoss3, 1Associate Professor, Department of Mechanical Engineering, Vel Tech High Tech

Dr.Rangarajan Dr.Sakunthala Engineering college, Avadi- 600 062, Tamil Nadu, India. 2Assistant Professor, Shri Krishna College of Engineering and Technology, Puducherry, 3 Lecturer, Thiru A.Govindhasamy Government Arts and Science College, Tindivanam.

Email: [email protected]

Abstract

Vibration properties of Polyurethane matrix composites have tested by modeling

and FEA results for identifying the optimum composition of the additive particles

percentage with Polyurethane matrix. The properties to be identified for three samples

obtained from varying percentage of Molybdenum disulphide particles such as 7%, 10%

& 20 % of Polyurethane blended with the Tetrahydrafuron solvent. The next three

samples have been synthesized and tested by adding 0.5%, 1% & 1.5% of Titanium

dioxide nano particles with 7%, 10% & 20% of Molybdenum disulphide particles in the

Polyurethane Matrix Hybrid Composites. Finite Element Analysis, a model has designed

for all the six samples with and without Titanium dioxide nano particles in Polyurethane

matrix hybrid composites by selecting the appropriate element. The natural frequencies

of the sample have been identified for the vibration test and to be applied to specific

application.

Keywords: Polyurethane, Molybdenum disulphide, Nanoparticles, Finite Element

Analysis, Vibration.

1. Introduction

Polyurethane coatings have excellent surface shine, flexibility, hardness and

chemical resistance. Because of so many advantages, Polyurethane coatings are the

leader in coating such as, automotive refinishes chemical agent resistant coatings and

aircraft industries (Xia & Song, 2005). Usually, polyurethane is poor abrasive wear-

resistance materials. In order to improve tribological and mechanical performance of

their polyurethane-based material, the traditional concepts are used to reduce the

counterpart material adhesion and to improve their stiffness, hardness, and compressive

strength. For decreasing adhesion, PTFE and graphite flakes are incorporated as

lubricants (Song & Zhang 2010). For fabrication of the abrasion-resistant polyurethane

composites, nanoparticles are considered (Zhang, 2006). During frictional sliding and

greater surface area will give to improve the tribological performance, less abrasive

action is needed (Chang et al., 2002).

With fast development, nanoparticles having different physical or chemical properties

of any size, structure, shape, and surface functional group can be synthesized (Li et al.,

2009). Due to surface area, properties of nanoparticles are different from the bulk

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materials, but display some distinct properties that depend on their shape, size and so

forth (Akbulut et al., 2006). For example, nanoparticles having reduced transition

pressures, melting points and stiffness (Chen et al., 2007).

2. Methodology

Using ANSYS software, the Finite Element Analysis has to be done on each sample. For

Finite Element Analysis, a model has designed for all the six samples with and without

Titanium dioxide nano particles in Polyurethane matrix hybrid composites by selecting

the appropriate element. The Properties of the composites has been calculated by using

the Rule of Mixtures and then entered for analyzing, according to the required sample.

The Boundary condition has been applied according to vibration test. The load has been

applied on the specific nodes by knowing the type of test to be conducted on the model.

Obtain the output as natural frequency images having maximum and minimum values of

the plotted result.

3. Results and Discussions

In this chapter ANSYS software package are using for the results given below,

the procedure to obtained the results on ANSYS given on the chapter 4. Natural

frequencies obtained from ANSYS are listed in tables. And mode shapes are presented

for different compositions. Here in this chapter 6 different compositions are taken for the

analysis of natural frequencies and mode shapes of the composite beam, as shown below.

3.1 Compositions for Analysis

For Sample-1

Polyurethane + (7% of PU)Molybdenum Disulphide

For Sample-2


For Sample-3


For Sample-4

Polyurethane + (7% of PU)Molybdenum Disulphide + (0.5% of

PU) Titanium Dioxide

For Sample-5

Polyurethane + (7% of PU)Molybdenum Disulphide + (1% of

PU)Titanium Dioxide

For Sample-6

Polyurethane + (7% of PU)Molybdenum Disulphide + (1.5% of

PU) Titanium Dioxide

By applying the rule of mixing,the composite beam is considered as isotropic

and having homogenous properties.The properties of different samples after applying

rule of mixture is shown in the table below.


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Table 1 Properties of composite beams.

Properties Units Sample

1

Sample

2

Sample

3

Sample

4

Sample

5

Sample

6

Density Kg/m³ 1246 1296.5 1373.7 1250 1305 1385

Poisson’s

ratio - 0.498 0.495 0.492 0.497 0.494 0.49

Young’s

modulus N/mm² 4300 6680 14200 4700 7500 15255

The geometrical characteristics, the length (L), thickness (H) and width (B) of the

composite beam, are taken as 50 mm,5 mm and 5 mm respectively.

3.2 Modal Analysis Results

Modal analysis is used to find the natural frequency and mode shapes of different

compositions. The composition having least natural frequency is the best to withstand

under vibration condition

Sample 1

Natural frequencies obtained for sample 1 composite beam are given as

Figure 1. Natural frequency of sample 1

Composition 1 having least natural frequency at mode 1 and highest natural

frequency at mode 5. The mode shape of composition 1 are shown bellow

First to fifth mode shape of sample 1 composite beam are shown in fig.


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Figure 2. First mode shape of sample 1

Figure 3. Second mode shape of sample 1

Figure 4. Third mode shape of sample 1


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Figure 5. Fourth mode shape of sample 1

Figure 6. Fifth mode shape of sample 1

The natural frequencies in different modes for different compositions are

tabulated as below,

Table 2 Table of modal analysis results

MODE

NATURAL FREQUENCY

COMPOSIT

ION 1

COMPOSIT

ION 2

COMPOSIT

ION 3

COMPOSIT

ION 4

COMPOSIT

ION 5

COMPOSIT

ION 6

1

22.803

27.859

39.454

23.801

29.421

40.723


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2

22.803

27.859

39.454

23.801

29.421

40.723

3

139.32

170.21

241.08

145.42

179.77

248.84

4

139.32

170.21

241.08

145.42

179.77

248.84

5

156.49

191.39

271.36

163.39

202.20

280.29

From the tabular column it is clearly visible that the composition 1 and

composition 4 having the lowest value of natural frequency and composition 3 and 6

having the highest value.

Graph is plotted for comparing the natural frequencies of different

compositions by taking mode number in X axis and natural frequency in Y axis

Figure 7. Graphical representation of modal analysis results.

In this graph, the composition 1 and composition 4 shows the lowest

natural frequency than other compositions. So those compositions are more preferable

based on modal analysis.

3.3 Transient Analysis Results

Transient dynamic analysis also called as time history analysis, is a technique

used to determine the dynamic response of a structure under the action of any general

time-dependent loads. Here we are analyzing the six compositions under transient

vibration condition.


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Sample 1

Figure 8.Transient analysis result of sample 1

Sample 2

Figure 9. Transient analysis result of sample 2

Sample 3



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Sample 4


Sample 5


Sample 6



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The value of amplitude of vibration and no.of cycle obtained from the graph are

tabulated in table below,

Table 3 Transient analysis result

Composition Max. Amplitude No. of Cycles In

Unit Time

Composition

1 1.8 23 1

2 1.3 27 2

3 0.9 39 3

4 1.7 22 4

5 1.3 29 5

6 0.85 40 6

The result of transient analysis is represented graphically. The composition number is

taken in X axis and amplitude of vibration and no. of cycles in Y axis.

Figure 14. Graphical representation of amplitude


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Figure 15. Graphical representation of no. of cycles

From the graph composition 4 having less no of cycles in unit time and

high amplitude. So it is the best composition under transient vibration condition.

CONCLUSION

Based on model analysis composition 6 have highest natural frequency and

composition 1&4 have least natural frequency. Material have lowest natural frequency is

suitable for high speed engineering applications. So composition 1&4 are preferable.

Based on transient analysis composition 4 having the least no of cycles of

vibration in unit time and composition 6 having the highest value. So composition 4 is

the best according to transient analysis

From the modal & transient analysis composition 4 shows the best result. So

composition 4 is most preferable for high speed engineering applications.

By increasing the percentage of MoS2 in PU the natural frequency increasing and

TiO2 & MoS2 in PU the natural frequency increases gradually. But in a certain

percentage of TiO2 & MoS2 in PU giving the least natural frequency and good transient

response. So PU with 7% of MoS2 & .5% of TiO2 is the best constitutional percentage.

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