Engineering Analysis in FEM

Contents
PREFACE 8
FIGURE & TABLE 9
1. SYMBOL TABLE 20
2. INTRODUCTION TO FEA 23
2.1 Introduction to FEA 23
2.2 Objective of FEA for Design Engineers 24
2.3 Step of FEA 25
2.3.1* Stress Theory(Von-Mises Stress Theory) 34
2.4* SI Unit / Dimension Analysis 37
3. STATIC ANALYSIS OF PLATE 39
3.1 Instruction 39
3.2 Material 39
3.3 Model 41
3.4 Boundary Condition 42
3.5 Results 45
3.5.1* Stress Concentration 47
3.5.2* Safety Factor 48
3.6 Summary 50
4. STATIC ANALYSIS OF L-BRACKET 51
4.1 Instruction 51
4.2 Material 51
4.3 Model 52
4.4 Boundary Condition 53
4.5 Results 54
4.6 Summary 58
5. STATIC AND FREQUENCY ANALYSIS OF PIPE SUPPORT 60
5.1 Instruction 60
5.2 Material 61
5.3 Model 62
5.4 Boundary Condition 63
5.5 Results 66
5.5.1* Vibration Theory 67
5.5.1.1 Resonance 76
5.5.1.2 Mode 76
5.5.1.3 EMPF, CEMPF 77
5.5.2* DOF(Degree of Freedom) 77
5.6 Summary 82
6. STATIC ANALYSIS OF LINK(SYMMETRIC) 83
6.1 Instruction 83
6.2 Material 83
6.3 Model 84
6.4 Boundary Condition 85
6.5 Results 88
6.6 Summary 90
7. FREQUENCY ANALYSIS OF TUNING FORK 91
7.1 Instruction 91
7.2 Material 91
7.3 Model 92
7.4 Boundary Condition 93
7.5 Results 95
7.6 Summary 97
8. STATIC ANALYSIS OF HANGER(INTERFERENCE/PENETRATION) 98
8.1 Instruction 98
8.2 Material 98
8.3 Model 99
8.4 Boundary Condition 100
8.5 Results 102
8.6 Summary 104
9. BUCKLING ANALYSIS OF BEAM 105
9.1 Instruction 105
9.2 Material 105
9.3 Model 106
9.4 Boundary Condition 107
9.5 Results 108
9.5.1* Buckling Theory 110
9.6 Summary 133
10. STATIC ANALYSIS OF BRACKET USING ADAPTIVE SOLUTION
METHODS 135
10.1 Instruction 135
10.2 Material 135
10.3 Model 136
10.4 Boundary Condition 137
10.5 Results 138
10.6 Summary 142
11. SELECTED NON-LINEAR PROBLEM 143
11.1 Instruction 143
11.2 Material 144
11.3 Model 145
11.4 Boundary Condition 148
11.5 Results 153
11.5.1* Linear / Non-Linear Property 166
11.5.2* Large Displacement 167
11.5.3* Membrane Effect 168
11.6 Summary 171
12. MIXED MESHING PROBLEM 172
12.1 Instruction 172
12.2 Material 172
12.3 Model 173
12.4 Boundary Condition 174
12.5 Results 175
12.6 Summary 178
13. VIBRATION ANALYSIS : MODAL TIME HISTORY, HARMONIC,
RANDOM, RESPONSE SPECTRUM 179
13.1 Instruction 179
13.2 Material 180
13.3 Model 181
13.4 Boundary Condition 182
13.5 Results 183
13.5.1* Modal Analysis 191
13.5.2* Impulse Response Function : Non-Periodic Force 196
13.5.3* Response to an Arbitrary Input 198
13.5.4* Response to an Arbitrary Periodic Input 199
13.5.5* Transform Methods 200
13.5.6* Random Input 200
13.5.7* Vibration Analysis Stage 202
13.6 Summary 203
14. OPTIMUM DESIGN 204
14.1 Instruction 204
14.2 Material 204
14.3 Model 205
14.4 Boundary Condition 208
14.5 Results 211
14.5.1* Optimum Design 217
14.6 Summary 219
15. FATIGUE ANALYSIS 220
15.1 Instruction 220
15.2 Material 220
15.3 Model 222
15.4 Boundary Condition 223
15.5 Results 227
15.5.1* Fatigue Theory 234
15.6 Summary 250
REFERENCE 251