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Chapter 7 Design Analysis .......................................................................................(58-90)

7.3 Fatigue Analysis

DESIGN ANALYSIS

CHAPTER

58

59 Taken at the output coordinate system.

𝐼π‘₯π‘₯ = 2.19𝑒 + 007𝐼π‘₯𝑦 = 4.45𝑒 + 004𝐼π‘₯𝑧 = βˆ’1.15𝑒 + 005 𝐼𝑦π‘₯ = 4.45𝑒 + 004𝐼𝑦𝑦 = 5.05𝑒 + 006𝐼𝑦𝑧 = 1.65𝑒 + 006 𝐼𝑧π‘₯ = βˆ’1.15𝑒 + 005𝐼𝑧𝑦 = 1.65𝑒 + 006𝐼𝑧𝑧 = 2.53𝑒 + 007

Figure 7-1: Location of Origin and COM Design Analysis

60

7.2 Stress and Strain Analysis

Analysis Condition:

Fixed geometry: Foot Base

External Force: 0.2 Newton Force Acting On L-Bracket Each Gravitational Force: 9.81 m/s2

Figure 7-2: Analysis Setup - Fixed Geometry (Foot Base) and External Load on Waist and Gravitational Force Acting on Body

Design Analysis

61

Table 7-1: Model Information

Document Name and

Reference Treated As Volumetric Properties Extrude11

Solid Body

Mass: 0.0435692 kg Volume: 3.11208e-005 m^3 Density: 1400 kg/m^3 Weight: 0.426978 N

Cut-Extrude1

Solid Body

Mass: 0.0150493 kg Volume: 5.57383e-006 m^3 Density: 2700 kg/m^3 Weight: 0.147483 N

CirPattern2

Solid Body

Mass: 0.0112408 kg Volume: 4.16326e-006 m^3 Density: 2700 kg/m^3 Weight: 0.11016 N

Design Analysis

62

Table 7-2: Static Study

Study name Study 1

Analysis type Static

Mesh type Mixed Mesh

Thermal Effect: On

Thermal option Include temperature loads Zero strain temperature 298 Kelvin

Include fluid pressure effects from SolidWorks Flow Simulation

Off

Solver type FFEPlus

Inplane Effect: Off

Soft Spring: Off

Inertial Relief: Off

Incompatible bonding options Automatic

Large displacement Off

Compute free body forces On

Friction Off

Use Adaptive Method: Off

Table 7-3: Unit System

Unit system: SI (MKS)

Length/Displacement mm

Temperature Kelvin

Angular velocity Rad/sec

Pressure/Stress N/m^2

Design Analysis

63

Model Reference Properties Components

Name: 1060 Alloy Model

type:

Linear Elastic Isotropic Default

failure criterion:

Unknown

Yield strength:

2.75742e+007 N/m^2

Tensile strength:

6.89356e+007 N/m^2

Elastic modulus:

6.9e+010 N/m^2 Poisson's

ratio:

0.33 Mass

density:

2700 kg/m^3 Shear

modulus:

2.7e+010 N/m^2 Thermal

expansion coefficient:

2.4e-005 /Kelvin

SolidBody 1(Sketched Bend1)

(Bracket servo single_-10), SolidBody 1(Sketched Bend1)

(Bracket servo single_-11), SolidBody 1(Sketched Bend1)

(Bracket servo single_-12), SolidBody 1(Sketched Bend1)

(Bracket servo single_-13), SolidBody 1(Sketched Bend1)

(Bracket servo single_-14), SolidBody 1(Sketched Bend1)

(Bracket servo single_-15), SolidBody 1(Sketched Bend1)

(Bracket servo single_-16), SolidBody 1(Sketched Bend1)

(Bracket servo single_-17), SolidBody 1(Sketched Bend1)

(Bracket servo single_-18), SolidBody 1(Sketched Bend1)

(Bracket servo single_-19), SolidBody 1(Sketched Bend1)

(Bracket servo single_-3), SolidBody 1(Sketched Bend1)

(Bracket servo single_-4), SolidBody 1(Sketched Bend1)(Bracket servo single_-5),

SolidBody 1(Sketched Bend1)

(Bracket servo single_-6), SolidBody 1(Sketched Bend1)

(Bracket servo single_-7),

Design Analysis

64

SolidBody 1(Sketched Bend1)

(Bracket servo single_-8), SolidBody 1(CirPattern2) (L type-3),

SolidBody 1(CirPattern2) (L type-4),

SolidBody 1(CirPattern2) (Long U-1),

SolidBody 1(CirPattern2) (Long U-2),

SolidBody 1(CirPattern5) (One type-1),

SolidBody 1(CirPattern5) (One type-2),

SolidBody 1(CirPattern5) (One type-3),

SolidBody 1(CirPattern5) (One type-4),

SolidBody 1(CirPattern3) (Short U-1),

SolidBody 1(CirPattern3) (Short U-11),

SolidBody 1(CirPattern3) (Short U-12),

SolidBody 1(CirPattern3) (Short U-2),

SolidBody 1(CirPattern3) (Short U-3),

SolidBody 1(CirPattern3) (Short U-4),

SolidBody 1(CirPattern3) (Short U-5),

SolidBody 1(CirPattern3) (Short U-6),

SolidBody 1(CirPattern3) (Short U-7),

SolidBody 1(CirPattern3) (Short U-8),

SolidBody 1(CirPattern3) (Short U-9),

SolidBody 1(CirPattern6) (Waist-2),

SolidBody 1(Cut-Extrude1) (foot base-1),

SolidBody 1(Cut-Extrude1)

Design Analysis

65

(foot base-2),

SolidBody 1(CirPattern2) (oblique_U_bracket-1), SolidBody 1(CirPattern2) (oblique_U_bracket-2) Name: Nylon 6/10

Model type: Linear Elastic Isotropic Default

failure criterion:

Unknown

Yield strength:

1.39043e+00 8 N/m^2 Tensile

strength:

1.42559e+00 8 N/m^2 Elastic

modulus:

8.3e+009 N/m^2 Poisson's

ratio:

0.28 Mass

density:

1400 kg/m^3 Shear

modulus:

3.2e+009 N/m^2 Thermal

expansion coefficient:

3e-005 /Kelvin

SolidBody 1(Extrude11) (MG995-Servo_-1), SolidBody 1(Extrude11) (MG995-Servo_-2), SolidBody 1(Extrude11) (MG995-Servo_-3)

Design Analysis

66

Table 7-4: Fixture and Resultant Forces

Fixture

name Fixture Image Fixture Details

Fixed-1

Entities: 2 face(s)

Type: Fixed Geometry

Resultant Forces

Components X Y Z Resultant

Reaction force(N) 7.20131e-

007 6.37484 -7.08234e-

007 6.37484

Reaction

Moment(NΒ·m) 0 0 0 1e-033

Table 7-5: Load Details

Load name Image Load Details

Gravity-1

Top Plane

Reference: Top Values: 0 0 -9.81

Units: SI

Force-1

Entities: 2 face(s) Type: Apply normal

force Value: 0.2 N

Design Analysis

67

Table 7-6: Contact Information

Contact Contact Image Contact Properties

Contact Set-1

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-2

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-3

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-4

Type: Bonded contact pair Entities: 2 face(s)

Design Analysis

68

Contact Contact Image Contact Properties

Contact Set-5

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-6

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-7

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-8

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-9

Type: Bonded contact pair Entities: 2 face(s)

69

Contact Contact Image Contact Properties

Contact Set-10

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-11

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-12

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-13

Type: Bonded contact pair Entities: 2 face(s)

70

Contact Contact Image Contact Properties

Contact Set-14

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-15

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-16

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-17

Type: Bonded contact pair Entities: 2 face(s)

71

Contact Contact Image Contact Properties

Contact Set-18

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-19

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-20

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-21

Type: Bonded contact pair Entities: 3 face(s)

72

Contact Contact Image Contact Properties

Contact Set-22

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-23

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-24

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-25

Type: Bonded contact pair Entities: 2 face(s)

73

Contact Contact Image Contact Properties

Contact Set-26

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-27

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-28

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-29

Type: Bonded contact pair Entities: 2 face(s)

74

Contact Contact Image Contact Properties

Contact Set-30

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-31

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-32

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-33

Type: Bonded contact pair Entities: 2 face(s)

75

Contact Contact Image Contact Properties

Contact Set-34

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-35

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-36

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-37

Type: Bonded contact pair Entities: 2 face(s)

76

Contact Contact Image Contact Properties

Contact Set-38

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-39

Type: Bonded contact pair Entities: 2 face(s)

Contact Set-40

Type: Bonded contact pair Entities: 3 face(s)

Contact Set-41

Type: Bonded contact pair Entities: 2 face(s)

77

Contact Contact Image Contact Properties

Contact Set-42

Type: Bonded contact pair Entities: 2 face(s)

Global Contact

Type: Bonded Components: 1

componen t(s) Options: Compatibl

e mesh

Design Analysis

78

Table 7-7: Mesh Information

Mesh type Mixed Mesh

Mesher Used: Curvature based mesh

Jacobian points Off

Jacobian check for shell Off

Maximum element size 0 mm

Minimum element size 0 mm

Mesh Quality High

Remesh failed parts with incompatible mesh

Off

Table 7-8: Mesh Information – Details

Total Nodes 105789

Total Elements 51319

Maximum Aspect Ratio 106.77

% of elements with Aspect Ratio < 3 66.5

% of elements with Aspect Ratio > 10 5.36

% of distorted elements(Jacobian) 60.1

Design Analysis

79

Figure 7-3: Mesh Density Design Analysis

80

Table 7-9: Mesh Control Information

Mesh Control Name Mesh Control Image Mesh Control Details

Control-1

Entities: 43

component(s) Units: mm

Size: 1.50158 Ratio: 1.5

Resultant Forces

Table 7-10: Reaction Forces

Selection

set Units Sum X Sum Y Sum Z Resultant

Entire Model

N 7.20131e-

007

6.37484 -7.08234e- 007

6.37484

Table 7-11: Reaction Moments

Selection set

Units Sum X Sum Y Sum Z Resultant

Entire Model

NΒ·m 0 0 0 1e-033

Design Analysis

81 Study Results

Table 7-12: Stress Analysis (Von Mises)

Name Type Min Max

Stress VON: von Mises

Stress

1.02728 N/m^2 Node: 74527

1.71296e+007 N/m^2

Node: 3869

Figure 7-4: Static Stress (von Mises) Design Analysis

82

Table 7-13: Resultant Displacement

Name Type Min Max

Displacement URES: Resultant Displacement

0 mm

Node: 48022

1.98065 mm Node: 71820

Figure 7-5: Displacement Design Analysis

83

Table 7-14: Strain Analysis

Name Type Min Max

Strain ESTRN: Equivalent Strain

2.48225e-011 Element: 2876

0.000183533 Element: 1820

Figure 7-6: Strain Design Analysis

84

Table 7-15: Deformation Analysis

Name Type

Displacement1 Deformed Shape

Figure 7-7: Deformed Shape Design Analysis

85

7.3 Fatigue Analysis Analysis Condition:

Fixed geometry: Foot Base

External Force: 0.2 Newton Force Acting On L-Bracket Each Gravitational Force: 9.81 m/s2

Table 7-16: Fatigue Analysis Study

Study name Study 2

Analysis type Buckling

Mesh type Mixed Mesh

Number of modes 1

Solver type FFEPlus

Incompatible bonding options Automatic

Thermal Effect: On

Thermal option Include temperature loads Zero strain temperature 298 Kelvin

Include fluid pressure effects from SolidWorks Flow Simulation

Off

Soft Spring: Off

Table 7-17: Unit System

Unit system: SI (MKS)

Length/Displacement mm

Temperature Kelvin

Angular velocity Rad/sec

Pressure/Stress N/m^2

Design Analysis

86

Table 7-18: Fixture Details

Fixture

name Fixture Image Fixture Details

Fixed-1

Entities: 2 face(s) Type: Fixed

Geometry

Table 7-19: Load Details

Load

name Load Image Load Details

Force-1

Entities: 2 face(s) Type: Apply normal

force Value: 0.2 N

Gravity-1

Top plane

Reference: Top Values: 0 0 -9.81

Units: SI

Design Analysis

87

Table 7-20: Connector Detail

Pin Connector Connector Details

Entities: 2 face(s) Type: Pin

Connection type: With retaining ring (No translation) Rotational stiffness

value:

0

Units: SI

Table 7-21: Global Contact

Contact Contact Image Contact Properties

Global Contact

Type: Bonded Components: 1

component (s)

Options: Compatible mesh

Table 7-22: Mesh Detail

Mesh type Mixed Mesh

Mesher Used: Curvature based mesh

Jacobian points 4 Points

Jacobian check for shell On

Maximum element size 17.3184 mm Minimum element size 3.46368 mm

Mesh Quality High

Design Analysis

88 Remesh failed parts with

incompatible mesh

On

Table 7-23: Mesh Information – Details

Total Nodes 88812

Total Elements 42970

Figure 7-8: Mesh Density Design Analysis

89

Table 7-24: Displacement

Name Type Min Max

Displacement1 URES: Resultant Displacement Plot for Mode Shape: 1(Load Factor = -56.546)

0 mm

Node: 76572

30.5499 mm Node: 37426

Figure 7-9: Fatigue

Table 7-25:Mode List

Mode Number Load Factor

1 -56.546

Design Analysis

90

8

CONCLUSION AND

RECOMMENDATION

CHAPTER

91

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