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Contents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1 Positional Continuity OR 0 - Order continuity 6 3.2 Tangent Continuity OR 1 - Order continuity 10 3.3 Curvature Continuity OR 2 - Order continuity 13 4) Curve Creation 19 4.1 Curve order 19 4.2 Case study for curve creation 21 4.3 Curve Redistribution 22 4.4 Creation of Symmetry Curves 22 4.5 Boundary curve creation 23 5) Surface Creation 25 5.1 Criteria for surface creation 25 5.2 Patch/Surface Parameterization 26 5.3 Patch/Face Plan 27 5.4 ISO-Curve distribution 28 5.5 Patch/Face over building and trimming of Patch/Face 29 5.6 Minimum Descriptive profile for surface creation 29 5.7 Symmetry Criteria 30 5.8 Transition Surface 31 5.9 Surface Completeness 33 5.10 Fillets 34 6) Class-A surface verification 35 6.1 Patch properties 35 6.2 Connectivity Analysis / G0 - Continuity 35 6.3 Tangency Analysis / G1-Continuity 36 6.4 Curvature Analysis 37 6.5 Reflection Analysis 37 6.6 Dynamic Highlight Analysis 37 6.7 Absolute Curvature Analysis 38 6.8 Mean Curvature Analysis 38 6.9 Maximum and Minimum Curvature Analysis 38 6.10 Guassian surface Analysis 39 7) Curvature Analysis – A case study 39

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Page 1: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Contents 1) Imprortance of surface concepts 3

2) Class-A surface Definition 3

3) Mathematical Requirements 6 3.1 Positional Continuity OR 0 - Order continuity 6 3.2 Tangent Continuity OR 1 - Order continuity 10 3.3 Curvature Continuity OR 2 - Order continuity 13

4) Curve Creation 19 4.1 Curve order 19 4.2 Case study for curve creation 21 4.3 Curve Redistribution 22 4.4 Creation of Symmetry Curves 22 4.5 Boundary curve creation 23

5) Surface Creation 25 5.1 Criteria for surface creation 25 5.2 Patch/Surface Parameterization 26 5.3 Patch/Face Plan 27 5.4 ISO-Curve distribution 28 5.5 Patch/Face over building and trimming of Patch/Face 29 5.6 Minimum Descriptive profile for surface creation 29 5.7 Symmetry Criteria 30 5.8 Transition Surface 31 5.9 Surface Completeness 33 5.10 Fillets 34

6) Class-A surface verification 35 6.1 Patch properties 35 6.2 Connectivity Analysis / G0 - Continuity 35 6.3 Tangency Analysis / G1-Continuity 36 6.4 Curvature Analysis 37 6.5 Reflection Analysis 37 6.6 Dynamic Highlight Analysis 37 6.7 Absolute Curvature Analysis 38 6.8 Mean Curvature Analysis 38 6.9 Maximum and Minimum Curvature Analysis 38 6.10 Guassian surface Analysis 39

7) Curvature Analysis – A case study 39

Page 2: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

8) Summary of Class-A Surface Standards 42 8.1 Classification of components and Applicable Class-A standards 42 8.2 Class-A Standard-I 43 8.3 Class-A Standard-II 43 8.4 Class-A Standard-III 44

9) Manufacturing Criteria’s – Case studies 45 9.1 Tips for manufacturability of hood 45 9.2 Tips for manufacturability of fender 47 9.3 Tips for manufacturability of Rear quarter panel 48

Page 3: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

1) Importance surface concepts: It will be useful for tutorials on surface Design.

2) Class-A surface Definition Class-A surfaces and their requirements have a close relationship with the aesthetics of a product. The reflection of light plays a major role in surface appearance. If a surface does not posses certain described characteristics, Visual appearance of the product will get affected.

Characteristics of Class-A surface can be classified into three major categories

Visual Characteristics Aesthetic requirements

Reflection, smoothness

Style features as intended by Designer/Stylist

Mathematical Requirements 0 order continuity (Positional Continuity / G0 Continuity)

1 order continuity (Tangent Continuity / G1 Continuity)

2 order continuity (Curvature Continuity/ G2 Continuity)

3 order continuity (Constant rate of change of curvature/ G3 Continuity)

Manufacturing requirements Panels should retain their shape - proper stretching requirement should be taken care,

Styled features should retain intended shapes,

Feature lines like shoulder line or waist line on body side panel, feature lines on hood panel should retain their place (skidding),

Bulge effect on flange lines should be avoided,

Manufacturability of shapes (Forming of sheet metal, Moulded components) etc.

Page 4: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Defects which do not qualify for Class-A surface requirements

Common visual defects, which can be attributed to the bad appearance of the surfaces

Broken reflection lines - which will affect the homogeneous looks of the car body,

Unintended highlights ( Unequal/Non parallel)

Non-uniform transition highlights,

Underflush and Overflush conditions

Local dark spots in the middle of smooth surface - which may result in visual mismatch of colour,

Effect of transparent surfaces like windshield, window glasses and long lenses on surface

Curvatures,

Local bright -unintended highlights, spots etc.

Common Mathematical defects found in surfaces

Connectivity problems like gap and overlapping along common edge,

Tangency problem between two adjacent surfaces along common edge,

Curvature discontinuities between surfaces,

Bad parameterization,

Bad distribution of ISO-parametric curves,

Topological problems,

Twisted patches,

Local depressions and bumps,

Triangular patches, etc.

Page 5: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Common Manufacturing defects found in surfaces

For sheet metal panels

Flat surface – inadequate lensings,

Possibility of skid marks,

Bulge at flange lines,

Sharp, acute trim lines and shut lines,

Draw depth and corner radii mismatch,

Under flush and Over flush co-ordination,

Local depressions and bumps etc.

For Plastic components

Shrinkage marks,

Molding direction,

Undercuts,

Seen parting lines,

Insufficient draft angle for given textures,

Inadequate lensing,

Warping etc.

Page 6: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

3) Mathematical Requirements 3.1 Positional Continuity OR 0 - Order continuity Surface are said to be having Positional Continuity, when they posses the following characteristics

Adjacent faces/surfaces are sharing a common edge,

Gap between them is less or equal to the recommended tolerance limit along the common edge

They are curvature continuous within

Refer images for more information

Surfaces are smooth Note:

1) Observe the smooth variation in reflection of light. 2) Observe the presence of sharp reflection line in the

middle of the surface

Image 3.1-1

Page 7: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Sharing Common edge

Image 3.1-2

• Curvature Continuous within • Share a common edge • Gap between them along the edge is within

tolerance limit Note: Angle between the Normals to the surface or curve on a point laying on the common edge is not within the set tolerance limit.

Image 3.1-3

Page 8: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Dynamic reflection highlights Analysis Result Note the broken Highlights at Common edge

Image 3.1-4

Mean Curvature Analysis result

Image 3.1-5

Page 9: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Refer images below for allowable errors for acceptance of surface for Positional continuity

Image 3.1-6

Industry Standard Examples

DCX GM FORD BERTONE TTL

Value 0.02 0.025 0.02 0.01 0.01

Note: Some values given here are based on the inputs from un-official source

Image 3.1-7

Page 10: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

3.2 Tangent Continuity OR 1 - Order continuity Surface are said to be having Tangent Continuity, when they posses the following

characteristics.

Adjacent faces/surfaces are sharing a common edge.

Gap between them is less or equal to the recommended value along the common edge.

Angle between the normals at any common point on common edge is within in the set tolerance value.

They are curvature continuous within.

Refer below images for more information

Surfaces are smooth Note:

1) Observe the smooth variation in reflection of light.

2) Observe the absence of sharp reflection line in the middle of the surface in comparison with Figure for G0 continuity.

Image 3.2-1

Sharing Common edge

Image 3.2-2

Page 11: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

• Curvature Continuous within • Gap between them is within the

recommended tolerance limit • Share a common edge

Note:

Angle between the normals to the surface or curve at a point laying on the common edge is within in the set tolerance value..

Observe the sudden change in curvature value between the normals to the surface or curve at a point laying on the common edge.

Image 3.2-3

Dynamic reflection highlights Analysis Result Note the abrupt deviation in highlights at Common edge.

Image 3.2-4

Page 12: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Mean Curvature Analysis result

Image 3.2-5

Refer image below for allowable errors for acceptance of surface for Tangent continuity

Industry Standard Examples

DCX GM FORD BERTONE TTL

Value 0.05 0.05 0.07 0.1 0.05

Note: Some values given here are based on the inputs from un-official source

Image 3.2-6

Page 13: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

3.3 Curvature Continuity OR 2 - Order continuity Surface are said to be having Curvature Continuity, when they posses the following characteristics.

Adjacent faces/surfaces are sharing a common edge.

Gap between them is less or equal to the recommended value along the common edge.

Angle between the normals at any common point on common edge is within in the set tolerance value.

Variation in curvature value at two points on same curve on surface is within specified value.

They are curvature continuous within.

Refer images for more information

Surfaces are smooth Note:

1) Observe the smooth variation in reflection of light.

2) Observe the uniform dispersion of light in the reflection zone in the middle of the surface in comparison with Figure for G1 continuity.

Image 3.3-1

Sharing Common edge

Image 3.3-2

Page 14: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

1) Curvature Continuous within 2) Gap between them is within in the

tolerance limit 3) Share a common edge

Note: Angle between the normals to the surface or curve at a point laying on the common edge is within the set tolerance value.

Image 3.3-3

Dynamic reflection highlights Analysis Result Note the smooth deviation in highlights at Common edge

Image 3.3-4

Mean Curvature Analysis result

Image 3.3-5

Page 15: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Refer image below for allowable errors for acceptance of surface for curvature continuity

Industry Standard Examples

DCX GM FORD BERTONE TTL

Value 0.001 0.001 0.005 0.01 0.001

Note: Some values given here are based on the inputs from un-official source

Image 3.3-6

Page 16: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Constant Rate of Change of Curvature Continuity OR 3 - Order continuity

Surface are said to be having Constant rate of change of curvature Continuity, when they posses the following characteristics

Adjacent faces/surfaces are sharing a common edge,

Gap between them is less or equal to the recommended value along the common edge

Angle between the normals at any common point on common edge is within in the set tolerance value.

Variation in curvature value at two points on same curve on surface is within specified value.

Distant between two points on curves for which the change of curvature occurs has to be same for all point on the curves.

Refer images for more information

Surfaces are smooth Note:

1) Observe the smooth variation in reflection of light. 2) Observe the further improvement in uniform

dispersion of light in the reflection zone in the middle of the surface in comparison with Figure for G2 continuity.

Image 3.3-7

Page 17: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Sharing Common edge

Image 3.3-8

Curvature Continuous within • Gap between them is within the set tolerance

value • Share a common edge

Note: Distance between points on curve on the surface For which curvature changes is constant

Image 3.3-9

Page 18: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Dynamic reflection highlights Analysis Result Note the smooth deviation in highlights at Common edge

Image 3.3-10

Mean Curvature Analysis result

Image 3.3-11

Page 19: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

4) Curve Creation Creation of a curve plays a very important role in the process of Class-A surface creation. The quality of the curve dictates the quality of the surface.

Criteria for curve creation

Curves should be of minimum required order as far as possible (preferred order-3 maximum order is based on the software being used)

Curves should support or facilitate the adjacent curve nature

Avoid curve with inflection unless they are a must

Split the curve as far as possible to avoid unnecessary tension

Give a close look to curve descriptors while creating curves

4.1 Curve order Every curve has a degree - a mathematical concept referring to the degree of the polynomial that defines the curve. The degree is generally one less than the number of points in the curve descriptor. For this reason, you cannot have a curve with lesser points than the degree of the curve.

A higher degree curve is stiffer, in the sense that you have to move its poles a long way to produce any appreciable change in the shape of the curve. Lower degree curves are more pliable, and tend to follow their poles much more closely. However, it is recommended to use curves of degree 3.

Higher degree curves are more likely to contain undesirable oscillations. You should use lower degree curves whenever possible (3, 4, and 5). Use the default degree of three (3) unless you have some good reason for doing otherwise. The degree of a single segment curve is dependent on the number of its specified points.

Page 20: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Refer images for more information

Curve of Degree 3, and Class 4 Note:

Curves of this type are easier to handle; for any change made to the curve by moving its pole, the change in shape will be monotonic in nature across the curve.

Image 4.1-1

Curve of Degree 5, and Class 6 Note:

Curves of this type are not easier to handle; for any change made to the curve by moving its pole, the change in shape may not be monotonic in nature across the curve because of high parameterisation of the curve.

Shape of the curve is exactly similar in shape and size to the curve shown in the image.

Image 4.1-2

Curve of Degree 6, and Class 7 Note:

Shape of the curve is exactly similar in shape and size to the curve shown in Image 4.1-1 and Image 4.1-2 on page No. 20

Observe the bad parameterisation of the curve, which is not desirable for Class-A surface creation.

Image 4.1-3

Page 21: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

4.2 Case study for curve creation While creating a curve from digitised points, it is essential to give a close look to the parameter distribution of the curve.

In the given example, even though curves are exactly similar in shape, size and position they are not identical in their mathematical properties.

Curve Degree 7, Class 8

Note:

Observe the curve parameter distribution, which is erratic.

Curve is of very high degree and class, which is not recommended.

Observe the adulations in curvature variation as seen from the curvature normals.

Image 4.2-1

Curve Degree 3, Class 4 Note:

Smooth variation in curve parameter distribution.

Desired shape is achieved by a curve of lower degree and class, which is highly recommended.

Observe the curvature variation as seen from the curvature normals. The variation in this case is smooth as compared to the earlier case.

Image 4.2-2

Page 22: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

4.3 Curve Redistribution

Curve of Degree 9 and Class 10

Note:

Observe highly haphazard distribution of curve parameters.

Curve created by software tool from digitized data.

Image 4.3-1

Curve of Degree 9 and Class 10

Note:

Observe smooth and monotonic variation in distribution of curve parameters

Curve created by using optimization and smoothing technique.

Image 4.3-2

Curvature analysis of the Curve

Image 4.3-3

4.4 Creation of Symmetry Curves For curves, which are to be used in creating surfaces for panels like Hood, Windshield, Roof, Trunk lid and Front and rear bumpers, special care has to be taken while creating the curves and surfaces.

While creating symmetry curves check the following properties in the curve

Page 23: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

1) Curvature continuity value at the plane of symmetry should be “Zero”

2) Tangency continuity at plane of symmetry should be “ Zero”

3) Positional continuity at plane of symmetry should be “ Zero”

4) It is recommended to have curves of Degree 3,5 and Class 4,6

5) It is not recommended to have a curve node at plane of symmetry.

Symmetry Curve Note:

Observe the absence of curve node at plane of symmetry, most of the times this condition automatically ensures G0, G1 and G2 continuity.

Figure 4.4-1

4.5 Boundary curve creation While creating end boundary curve for patches, check for the following characteristics in the curves. Both curves should be of

Same class and degree

Similar nature in mathematical parameterisation.

Change in curve parameter distribution should be monotonic in nature. In the absence of above characteristics, chances of internal surface distortions are very high.

End boundary curves Note:

Observe polynomial distribution of the curves.

Image 4.5-1

Page 24: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

End boundary curves Note:

Observe the change in the polynomial distribution of the curves and the change in the curve position due to this.

Image 4.5-2

Page 25: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5) Surface Creation As explained in the earlier chapter, quality of the surface plays major role in aesthetics of the product, it is very important we take a lot of care while creating a surface. Apart from basic requirements like positional continuity, tangent continuity and curvature continuity, following criteria’s has to be given due consideration.

5.1 Criteria for surface creation Patch/Surface parameterisation Polynomial representation of a surface is defined by a network of lines and points, These control points or poles are distributed over sections.

Patch/Face Plan Division or splitting of patches to create features in surfaces

ISO-curve distribution Surface over-building and trimming of surface Creation of extra surface beyond the required area for component design

Minimum descriptive profiles for surface creation Use minimum required number of end boundaries and internal support profiles to define a patch or surface.

Symmetry criteria Guidelines for creation of symmetric surfaces.

Transition surface creation Joining of two main surfaces with another surface.

Surface or face tension High concentration of patch descriptors in a local area of a patch/face, because of maximum curvature.

Surface completeness Completely defined surface in all respects, by mathematical definitions.

Fillets

Page 26: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5.2 Patch/Surface Parameterization Patch or surface is said to be of good quality when it has the following characteristics

Good distribution of patch descriptors or vertices

Patch should not possess any kinks in the descriptors pattern.

Minimum number of descriptors

Uniform variation in descriptor pattern

Refer Images for more information

Good patch/face descriptors Note:

Minimum number of patch descriptors.

Smooth variation in light reflection on the shape.

Image 5.2-1

Bad patch/Face descriptors Note :

High number of patch descriptors.

Kink in one of the descriptors.

Image 5.2-2

Page 27: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5.3 Patch/Face Plan Important aspect of good surface creation is patch plan. It is important for the surface creator

to plan the patch/face split to achieve good quality in surfaces. Good patch/face plan goes a long way in helping creation of good merging of main surfaces, creation of features, termination of features, corners, transition surfaces, bends etc. only experience can help in deciding patch/face plan

Refer Images for more information

Shaded image of fender

Image 5.3-1

Patch/Face plan of fender

Image 5.3-2

Page 28: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5.4 ISO-Parametric Curve distribution Distribution of ISO-curves is the primary indication of a good quality patch.

Bad ISO-curve distribution Note:

Distribution of ISO-Parametric curves is not homogeneous

May have local surface tension.

Smooth variation is not there. Curves are bent and Curves are straight.

Image 5.4-1

Good ISO-curve distribution Note:

Smooth variation in ISO-Parametric curve distribution

Image 5.4-2

Difference between good and bad ISO-curve distribution of patch/face

Note: Path with Bad ISO-parametric curve distribution is shown in dotted lines. Observe the difference in shorter boundary condition between two patches

Image 5.4-3

Page 29: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5.5 Patch/Face over building and trimming of Patch/Face 5.6 Minimum Descriptive profile for surface creation While creating a patch, use minimum required number of end boundaries and internal support profiles to define a face or patch. Try to create the main patches bigger than required area, Later trim them to a desired shape using trimming profiles.

Note:

Use of high number of profile to define the patch may result in bad quality.

Patch with minimum number of constraints posses characteristics like, good distribution of ISO-parametric curves, Better parameterization.

Refer image for more information

Patch over building

Image 5.6-1

Defining profiles

Trimming profiles

Page 30: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5.7 Symmetry Criteria While creating surface for Hood panel, Roof, Trunk lid , windshield, Rear window and tailgate, normal practice is to create one side of the panel, for other side surface is reflected.

While doing so, following criteria should be fulfilled at plane of symmetry (XOZ-Plane,Y=0)

Positional Continuity Tangency and curvature continuity Curvature variation No directional variation

Curvature of good symmetry patch Note:

In this case Positional, Tangency, and curvature continuities are fulfilled.

Observe the length and shape variation of curvature normal in the marked area.

Image 5.7-1

Curvature of bad symmetry patch Note:

In this case only Positional and Tangency continuities are fulfilled.

Observe the length and shape variation of curvature normal in the marked area.

Image 5.7-2

Symmetry Plane

Symmetry Plane

Page 31: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5.8 Transition Surface Case study for the use of transition surface and its advantages

Front fascia with transition surface Front fascia without transition surface

Figure 5.8-1

Observe

Two main surfaces marked “M” are joined by using transition surface marked “C” Two main corner surfaces marked “C” are joined by using transition surface marked “T”

Observe Concept of using transition surfaces is not applied while creating the surface

Figure 5.8-2

Observe Observe

Uniform ISO-curve distribution

Irregular

M C M

T

C

Page 32: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Uniform distribution of ISO-curves between main surface and transition surfaces. This is the result of using a transition surface, which gives more control over creating corner and joining surfaces.

Irregular distribution of ISO-curves in main surface.

Figure 5.8-3

Observe Uniform variation in ISO-curve shapes. Synergy in variation of gaps between ISO-curves distribution.

Observe Irregular variation in ISO-curve shapes. Irregular variation of gaps between ISO-curves distribution.

Figure 5.8-4

Page 33: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5.9 Surface Completeness Surface should be complete in all respects.

Check for the following imperfections like incomplete filleting operation, untrimmed patches, undefined corners, etc.

Refer images for further reference:

Observe untrimmed bottom patch

Figure 5.9-1

Observe marked area

Figure 5.9-2

Untrimmed patch

Incomplete corner and Fillet

Page 34: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

5.10 Fillets While creating fillets for joining two surfaces/patches, avoid using circular / cylindrical fillets.

This kind of fillets, will not guarantee a good reflection effect because of the sudden change in curvature at the joining lines.

To improve the aesthetic effects, it is suggested to use conical blending, which is available in software’s like CATIA and EUCLID-3.

Limit the use of mechanical blending to following areas

1) Unseen areas like corners, Flange line blending, Joggles on flanges etc.

2) Less important areas, like where fillet radius required R is < 5.

Mechanical Filleting

Image 5.10-1

Conical Filleting

Image 5.10-2

R

Conical Filleting

R

Page 35: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

6) Class-A surface verification 6.1 Patch properties

ISO-parametric Curve distribution/Patch parameterization

Polynomial representation of a surface, defined by a network of lines and points, called control points or poles. These points are distributed over sections.

Image 6.1-1

6.2 Connectivity Analysis / G0 - Continuity

Global connectivity analysis This method is used for finding out the gaps in surface topology connections.

Connectivity analysis result for hood surface is shown in following images.

Image 6.2-1

Page 36: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

Global connectivity analysis Wire frame model of the hood surface, shown before submitting for connectivity analysis

Note:

Observe green lines in surface

Image 6.2-2

Global connectivity analysis Result of connectivity analysis

Gaps more than 0.05 are shown in “red” colour

Gaps less than 0.05 and free edges are still shown in “green” colour.

Note:

1) Threshold value for connectivity analysis used in this case is 0.05.

2) Method of result display is software dependent.

Image 6.2-3

6.3 Tangency Analysis / G1-Continuity

Global Tangency Analysis This method is used for finding angle between two adjacent patch along a common edge.

Note:

1) Threshold value for connectivity analysis used in this case is 0.05.

2) Observe magenta coloured lines in surface.

3) Method of result display is software dependent.

Image 6.3-1

Green lines

Green linesRed lines

Page 37: Contentscatiatutor.com › images › classA › Surface Concepts.pdfContents 1) Imprortance of surface concepts 3 2) Class-A surface Definition 3 3) Mathematical Requirements 6 3.1

6.4 Curvature Analysis

Surface/Patch curvature analysis of a curve Laying on a surface for uniform variation in curvature

Note:

Curvature analysis of roof is shown.

Image 6.4-1

6.5 Reflection Analysis

Display of the reflection lines created on a patch by a line of light of infinite length

Image 6.5-1

6.6 Dynamic Highlight Analysis This action is used to detect local flaws on supporting surfaces and to check that surfaces are smooth. Highlights are similar to reflection lines with the difference that highlights do not depend on the user's view point. It is a simplified reflection model. As with reflection lines, highlights magnify discontinuities on a supporting surface.Tangent plane discontinuity between two patches in a surface is shown up as discontinuous highlights. Discontinuous highlight tangents shows curvature discontinuity between two patches (sharp angle where the contours join). Highlights have a lower order of continuity than the surfaces they are traced on.

Display of the Dynamic Highlights created on a roof surface

Image 6.6-1

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6.7 Absolute Curvature Analysis

It is used to detect the surface areas where the surface is locally almost flat, that is when the

absolute curvature is almost null.

Image 6.7-1

6.8 Mean Curvature Analysis

The utmost values appear where the surface is the most warped. Mean is largely used to detect

irregularities on the surface. A minimal surface is characterized by a null mean

curvature.

Image 6.8-1

6.9 Maximum and Minimum Curvature Analysis

The geometric construction of main curvatures is the following: let be a plane containing the normal to the surface in a given point. This plane cuts the

surface along a curve that has a given curvature in this point. If this plane rotates around the normal, the curvatures of the curves of intersection with the surface will vary between two

utmost values. These two values are the main curvatures

Image 6.9-1

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6.10 Guassian surface Analysis It describes the local shape of a surface in one point:

If it is positive, the point is elliptic, i.e. the surface has locally the shape of an ellipsoid around the point. If it is negative, the surface is hyperbolic in this point, i.e. the local shape is a horse saddle. If it is null, the surface is parabolic in this point, i.e. one of the two main curvatures is null in this point.

Ps: The cone and the cylinder are two surfaces where all points are parabolic.

Local depression on a roof surface Shown using Guassian surface analysis

Image 6.10-1

7) Curvature Analysis – A case study

Good roof surface Observe Smoothness of surface Uniform Dispersion of light in reflection zone

Defective roof surface Observe Smoothness of surface Uniform Dispersion of light in reflection zone

Image 6.10-1

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Good roof surface

Observe Smoothness of Dynamic highlights Uniform variation in dynamic highlight line shapes Uniform Gap between dynamic highlight lines

Defective roof surface Observe Smoothness of Dynamic highlights Uniform variation in dynamic highlight line shapes Non-uniform Gap between dynamic highlight lines

Image 6.10-2

Good roof surface

Mean curvature analysis result Defective roof surface

Mean curvature analysis result

Image 6.10-3

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Good roof surface Observe absence of local depression in Guassian curvature analysis result

Defective roof surface Observe presence of local depression in Guassian curvature analysis result

Image 6.10-4

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8) Summary of Class-A Surface Standards 8.1 Classification of components and Applicable Class-A standards

SHEET METAL PANELS

External Panels Internal Panel

External Seen External Unseen Internal Seen Internal Unseen

Class A Standard I Class A Standard II Class A Standard II Class A Standard III

SHEET METAL PANELS

External Panels Internal Panel

External Seen External Unseen Internal Seen Internal Unseen

Class A Standard I Class A Standard II Class A Standard II Class A Standard III

Figure 8.1-1

Plastic Trims

External Panels Internal Panel

Painted/Textured Seen Painted/Textured Unseen Painted/Textured Seen PaintedTextured Unseen

Class A Standard I Class A Standard II Class A Standard II Class A Standard III

Plastic Trims

External Panels Internal Panel

Painted/Textured Seen Painted/Textured Unseen Painted/Textured Seen PaintedTextured Unseen

Class A Standard I Class A Standard II Class A Standard II Class A Standard III

Figure 8.1-2

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8.2 Class-A Standard-I

Applicable For Characteristics Standards

G0 – Positional Continuity 0.01

G1 – Tangency Continuity 0.05

G2 – Curvature Continuity 0.001

G3 – Constant rate of changes of curvature ---

Patch descriptors Refer Section 5.2

ISO-curve distribution Refer Section 5.4

Fillets Mechanical Fillets for < 5R *

Manufacturability criteria’s Refer Section 9

1) External seen Sheet metal panels

2) Exterior seen painted plastic trims

Dynamic highlights Refer Section 6.6

Table 8-1

8.3 Class-A Standard-II

Applicable For Characteristics Standards

G0 – Positional Continuity 0.02

G1 – Tangency Continuity 0.05

G2 – Curvature Continuity 0.02

Patch descriptors Refer Section 5.2

ISO-curve distribution Refer Section 5.4

Fillets Mechanical Fillets for < 5R *

Manufacturability criteria’s Refer Section 9

1) Exterior seen plastic textured trims

2) Interior seen plastic textured trims

3) Interior seen plastic textured trims

4) Interior seen sheet metal panels

Dynamic highlights Refer Section 6.6

Table 8-2

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8.4 Class-A Standard-III

Applicable For Characteristics Standards

G0 – Positional Continuity 0.02

G1 – Tangency Continuity 0.1

G2 – Curvature Continuity 0.05

Patch descriptors Refer Section 5.2

ISO-curve distribution Refer Section 5.4

Fillets Mechanical Fillets for < 4R * Manufacturability criteria’s Refer Section 9

1) External unseen areas of Sheet metal panels Example: Areas of Body side panel hidden after door closer, Lamp pockets, Mirror pockets on door frame, Etc.

2) Unseen painted and textured plastic trims

Dynamic highlights Refer Section 6.6

Note:

1) Take care for not changing “styling intent” shapes and features in all above cases.

2) Seen means - areas which are coming in lines of direct visual angle of a person standing next to the car, and sitting inside the car.

3) Unseen means - areas which are not coming in lines of direct visual angle of a person standing next to the car, and sitting inside the car.

4) * In case of fillet values take care for minimum exterior and interior projection regulations.

5) Decide the maximum allowed deviation for Class-A surface creation from Digitised data for each model.

6) Take the approval from Styling department in case of deviation from digitized data.

7) Observe for regulatory requirements during the creation of Class-A surfaces.

Example: Minimum external and internal projection regulations.

8) At the stage of design verification, changes done on styled surface with respect to the Styling-freeze should be documented and agreed upon.

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9) Manufacturing Criteria’s – Case studies Objective of this section is to lead stylist or product engineers through the manufacturing process for sheet metal. Cases listed in this section of the documents are only for reference and knowledge of the stylist and product engineers. The cases explained here are not to be considered as guidelines.

While designing the panels for manufacturability, proper attention needs to be given for following aspects of sheet metal components.

Panels should retain their shape after stamping process, for the same proper stretching requirement should be taken care, Styled features should retain intended shapes, For example, Feature lines like shoulder line or waist line on body side panel, Feature lines on hood panel should retain their place. Bulge effect on flange lines should be avoided.

In the same way, while designing plastic trims, care should be taken care to avoid warping of panels at free ends, shrinkage effect on the areas where internal ribs are provided for strength purpose.

9.1 Tips for manufacturability of hood

Shaded image of hood panel

Image 9.1-1

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Figure 9.1-1

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9.2 Tips for manufacturability of fender

Shaded Image of Front fender Left

Image 9.2-1

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In depth “D” is not constant, give constant offset depth “d” to avoid bulge effect along flange line

Dd

Indicator Lamp depression depth to be kept within 2-3 mm

50R – Minimum Radius to be kept

Feature line near wheel arch, high risk of skidding, if the panel is stretched to the maximum limit

Incase of radical under sweeping at rear of wheel arch, Reduce the flange with to minimum possible

In depth “D” is not constant, give constant offset depth “d” to avoid bulge effect along flange line

Dd

Indicator Lamp depression depth to be kept within 2-3 mm

50R – Minimum Radius to be kept

Feature line near wheel arch, high risk of skidding, if the panel is stretched to the maximum limit

Incase of radical under sweeping at rear of wheel arch, Reduce the flange with to minimum possible

Figure 9.2-1

9.3 Tips for manufacturability of Rear quarter panel Keep the feature line away from flange line by minimum 25mm, to avoid skidding effect.

Do not leave the feature line sharp for avoiding local stretching, on the fillet. Complete them by using conical filleting option with maximum possible ratio

Flange Line

Minimum angle suggested between thetwo surfaces creating this kind of feature is 20ο

Keep the feature line away from flange line by minimum 25mm, to avoid skidding effect.

Do not leave the feature line sharp for avoiding local stretching, on the fillet. Complete them by using conical filleting option with maximum possible ratio

Flange Line

Minimum angle suggested between thetwo surfaces creating this kind of feature is 20ο

Figure 9.3-1

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Figure 9.3-2

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Figure 9.3-3