كتاب Practical Finite Element Analysis - First Edition
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 كتاب Practical Finite Element Analysis - First Edition

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Practical Finite Element Analysis - First Edition
Nitin S Gokhale
Sanjay S Deshpande
Sanjeev V Bedekar
Anand NThite  

كتاب Practical Finite Element Analysis - First Edition  P_f_e_10
و المحتوى كما يلي :


Contents
1. Introduction to Finite Element Analysis
1.1 Methods Solve any Engineering Problem 1.2 Procedure for Solving any Analytical or
Numerical Problem 1.3 Brief Introduction to Different Numerical Methods 1.4 What is DOF
1.5 Why do we Carry Out Meshing, What is FEM 1.6 Advantages of FEA 1.7 Design Cycles 1.8
Absolute vs. Relative Design 1.9 Is FEA a Replacement for Costly and Time Consuming Testing
2. Past, Present and Future of FEA
2.1 History of Finite Element Method 2.2 Present 2.3 Theoretical Finite Element Analysis
2.4 Software Based FEM 2.5 Practical Applications of FEA 2.6 Failure Analysis 2.7 Future of
FEA
3. Types of Analyses (Brief Introduction)
3.1 Linear Static Analysis 3.2 Non Linear Analysis 3.3 Dynamic Analysis 3.4 Linear Buckling
Analysis 3.5 Thermal Analysis 3.6 Fatigue analysis 3.7 Optimization 3.8 Computational Fluid
Dynamics 3.9 Crash Analysis 3.10 Noise Vibration and Harshness, NVH
4. Basics of Statics and Strength of Materials
4.1 What is Stress 4.2 Types of Stress 4.3 Types of Forces 4.4 Types of Moments 4.5 Uniaxial
Stress 4.6 Bi-axial Stress 4.7 Tri-axial Stress 4.8 What is "I" Area Moment of Inertia and "J" Polar
Moment of Inertia
5. Introduction to Meshing
5.1 Why do We Carry Out Meshing 5.2 Types of Elements 5.3 How to Decide Element Type
5.4 Can We Solve Same Problem Using 1-d, 2-d, 3-d Elements 5.5 How to Decide Element
Length 5.6 How to Start Meshing 5.7 Meshing Techniques 5.8 Meshing in Critical Areas
5.9 Mesh Display Options
6. 1-D Meshing
6.1 When to Use 1 -d Elements 6.2 Stiffness Matrix Derivation 6.3 Stiffness Matrix- Assembly of
Two Rod Elements 6.4 Beam Element 6.5 Special Features of Beam Elements
7. 2-D Meshing
7.1 When to Use 2-d Elements 7.2 Family of 2-d Elements 7.3 Thin Shell Elements 7.4 Effect
of Mesh Density in the Critical Region 7.5 Effect of Biasing in the Critical Region 7.6 Symmetric
Boundary Conditions 7.7 Different Element Type Options for Shell Meshing 7.8 Geometry
Associative Mesh 7.9 Quality Checks 7.10 Other Checks for 2-d Meshing 7.11 How Not to
Mesh
xiii8. 3-D Meshing
8.1 When to Use 3-d Elements 8.2 DOFs for Solid Elements 8.3 Tetra Meshing Techniques
8.4 Quality Checks for Tetra Meshing 8.5 Other Checks for Tetra Meshing 8.6 Brick Meshing
8.7 Brick Mesh Quality Checks 8.8 Other Checks for Brick Meshing 8.9 How Not to Mesh
9. Special Elements and Special Techniques
9.1 Connection of Solid Elements with Beams and Shells 9.2 Linear to Parabolic and Brick to
Tetra Connection 9.3 Hybrid Meshing (Hex-Pyram-Tetra) 9.4 GAP Element 9.5 Mass Element
9.6 Spring and Damper Element 9.7 Rigid & Constraint Elements 9.8 Simple Linear Static
Analysis Techniques to Simulate Contact
10. Weld, Bolt, Bearing and Shrink Fit Simulation
10.1 Welding Simulation 10.2 How to Model Spot Weld 10.3 How to Model Arc Weld 10.4
Practical Considerations for Welded Joints 10.5 Bolted Joint 10.6 Bearing Simulation
10.7 Shrink Fit Simulation
11. Material Properties and Boundary Conditions
11.1 E, G&u 11.2 Material Classification 11.3 Material Properties 11.4 Boundary Conditions
11.5 Howto Apply Constraints 11.6 Symmetry
12. Linear Static Analysis
12.1 Definition 12.2 While Starting any Finite Element Analysis Project 12.3 How to Check
Mesh Model Submitted by a Vendor or Colleague 12.4 Design Modifications Based on
Linear Static Analysis: A Case Study 12.5 Linear Static Solvers 12.6 Solution Restart Method
12.7 h-element vs. p-element 12.8 Sub-modeling 12.9 Linear Buckling Analysis
13. Non Linear Analysis
13.1 Introduction 13.2 Comparison of Linear and Nonlinear FEA 13.3 Types of Nonlinearity
13.4 Stress-Strain Measures for Nonlinear Analysis 13.5 Solution Techniques for Nonlinear
Analysis 13.6 Issues Related to the Convergence of Newton Raphson Method 13.7 Essential
Steps to Start with Nonlinear FEA 13.8 A General Procedure for Nonlinear Static Analysis
Project 13.9 Exercise Problem
14. Dynamic Analysis
14.1 Why Dynamic Analysis 14.2 Static Analysis vs. Dynamic Analysis 14.3 Definitions
14.4 What is Difference Between Time Domain and Frequency Domain 14.5 Types of Loading
14.6 Simple Harmonic Motion 14.7 Free Vibration 14.8 Free - Free Run 14.9 How to
Avoid Resonance 14.10 Damping Consideration 14.11 Forced Vibration 14.12 Single DOF
System, Frequency Response Analysis 14.13 Single DOF System, Transient Response Analysis
14.14 Dynamic Analysis Solvers 14.15 Two DOF System, Frequency Response Analysis Base
Excitation 14.16 Bracket, Transient Response Analysis (Short Duration Force) 14.17 What is
PSD (Power Spectral Density)
15. Thermal Analysis
15.1 Introduction 15.2 Conduction HeatTransfer 15.3 Steady State Conduction 15.4 Unsteady
State Conduction 15.5 Convection HeatTransfer 15.6 Forced Convection (Internal Flow)
15.7 Forced Convection (External Flow) 15.8 Meshing for Thermal Analysis 15.9 Free/Natural
Convection 15.10 Radiation HeatTransfer 15.11 Practical Application ofThermal Analysis
16. Computational Fluid Dynamics
16.1 What is CFD 16.2 Various Levels of Approximations in Fluid Dynamics 16.3 Equilibrium
Equations fora Fluid 16.4The Physics of the Navier Stokes Equations 16.5 Conservation
Form of Fluid Flow Equations 16.6 Integral Form of the Conservation Laws 16.7 Model
Equations for Convection and Diffusion: Their Mathematical and Physical Aspects 16.8
Numerical Schemes for a Model Convection Equation 16.9 Numerical Schemes for a Standard
Diffusion Equation 16.10 Explicit and Implicit Numerical Schemes 16.11 Different Types of
xivCodes Used for CFD Calculations 16.12DifferentTypesofGridsUsedforCFD 16.13 Difference
Between Meshes Used in Computational Structural Mechanics and Computational Fluid
Dynamics 16.14 Strengths and Weaknesses of CFD Against Experimental Fluid Dynamics
or Wind Tunnel Testing 16.15 CFD Project Tracking Sheet 16.16 Typical Applications of
Computational Fluid Dynamics in Various Industries
17. Fatigue Analysis
17.1 Why Fatigue Analysis 17.2 Static, Dynamic and Fatigue Analysis Comparison 17.3 What is
Fatigue 17.4 History of Fatigue 17.5 Definitions 17.6 Various Approaches in Fatigue Analysis
17.7 Stress Life Approach 17.8 Strain Life Approach 17.9 Fracture Mechanics Approach
17.10 Cycle Counting 17.11 Multi-Axial Fatigue 17.12 Welding Analysis 17.13 CAE (Fatigue)
and Test Data Correlation
18. Crash Analysis
18.1 Introduction 18.2 What do We solve in Structural Crash Worthiness 18.3 Transient
Dynamics Solution Methodology 18.4 Increasing the speed of Explicit Methods for Quasi
Static Simulation 18.5 Comparison of Explicit vs. Implicit Methods 18.6 Typical Issues
in Contact Analysis 18.7 Some Aspects of Shell Element Technology 18.8 Contact Impact
Algorithms 18.9 Full Dynamic / Impact vs. Quasi Static Simulations 18.10 Lagrangian and
Eulerian Codes 18.11 Effect of Process and Residual Stress on Crash Analysis 18.12 Typical
Application of Crash Worthiness Simulations in Various Industries
19. NVH Analysis
19.1 Introduction to NVH Concepts 19.2 Frequency Range of FE Dynamic Analysis 19.3 FEA
for Structural Dynamics 19.4 FEA for Acoustics 19.5 Model Validation 19.6 Model Updating
19.7 Design Modification 19.8 Vibration and Noise Control
20. Post Processing Techniques
20.1 How to Validate & Check Accuracy of the Result 20.2 How to View Results 20.3 Average
and Unaverage Stresses 20.4 Special Tricks for Post Processing 20.5 Interpretation of Results
and Design Modifications 20.6 CAE Reports
21. Experimental Validation and Data Acquisition
21.1 Strain Gauge 21.2 Photo-elasticity 21.3 Load Cells 21.4Torque SensorsTorqueTransducers
21.5 How to Collect Force vs. Time Data (Dynamic Test) 21.6 How to Measure Acceleration
21.7 How to Measure Fatigue Life 21.8 How to Measure Natural Frequency
22. Common Mistakes and Errors
23. Preparation for Interview 411
Abbreviations
Appendix
Index
Page No.
1 D element 51, 63
2 D element 51, 85
3 D element 52,111
A
Absolute design 14
Acceleration 167
Acoustics 34, 366,367
Accuracy 9,377
ACM (Area Contact Method) 145
Air borne noise 356
Analysis
Linearstatic 27, 175
Non linear static 28, 187
Linear buckling 30, 186
Thermal 31,237
Dynamic 29,207
Fatigue 31,295
Optimization 32
CFD 32,269
Crash 34,321
NVH 34,351
Analytical method 1
Anisotropic 160
Anti symmetry 173
Approximation in fluid dynamics 270
Arc welding 146,318
Area moment ofinertia 46
Aspect ratio 99, 121
Audible range ofvibration 212,352
Average stress 380
Axial symmetry 173
Axisymmetric solid 88
B
Beam element 63,74
Special feature 81
cross section orientation 81
Taper 81
Page No.
Offset 83
End release 83
Bearing simulation 151
Beam element 151
Gap element 152
Contact simulation 153
Direct force application 153
Force application via equation 153
Comparison ofdifferent method 154
Bending moment 38,48
Bending stress 41
Biasing 92
Bmp format result files 383
Boltedjoint 148
Beam element 148
Rigid element 149
Preload 150
Bolt torque 150
Temperature method 150
Boundary condition 161
Boundary element method 4, 34, 367
Bracket analysis 178
Braking 168
Brick meshing 118
Tips 120
Quality checks 121
Other checks 122
Brittle material 44
Buckling load factor 186
c
CAD 13
CAE 13
CAM 13
Centrifugal load 167
CFD project tracking sheet 290
Climatic condition 24
Coulomb damping 215
Compatible element 334
Complex eigen value 363Page No. Page No.
Compressible flow 238
Compressive loading 186
Computational fluid 32,269
Dynamic 33,269
Practical application 33
Commonly used software 33
Concentrated load 161
Concurrent engineering 13
Conduction 239
Convergence 379
Conservation 271,272
Conservation law 273
Constraints element 139
Contact analysis 153, 155,334
Contact impact algorithm 340
Contact simulation 335
Continuous approach 5
Convection 31, 245
Cornering 169
Cost cutting 15,21
Cost ofaccuracy 10
Coupled problem 238
Crack growth 297,311
Crack initiation 297, 308
Crack propagation 311
Crash analysis 34,321
Commonly used software 34
Practical application 34
Creep 29, 193
Critical region/area 59, 93,379
Critical Damping 226
Cycle 298
Cycle counting 312
D
Damper element 138
Damping 226
Overdamping 226
Under damping 226
Critical damping 226
Damping consideration 218
Degree offreedom 6
Discretization 4
Design abuse 24
Design cycles 11
Diffusion 275
Diffusion equation 279
Direct method 65
Discrete approach 5
Distortion 100
Distributed load 162
Drop test simulation 34, 349
Ductile material 44
Duplicate element 102
Duplicate node 103
Durability 297
Dynamic analysis 29,207
Practical application 30
Commonly used software 30
Free Vibration 207,216
Forced Vibration 207,227
Freq, response 207,228
Transient response 207,230
Random vibration 207
Dynamic analysis solver 231
Dynamic fatigue 299
Elastic plastic correction 142,311
Elementstiffness matrix 64,65
Element techniques
Stiffness matrix 64,65
1-D 51,63
2-D 51, 85
3-D 52,111
special 127
Length 54
Endurance limit 298
Energy spectral density 365
Enforced motion 232
Engineering strain 194
Engineering stress 194
Equilibrium equation for fluid 271
Errors
Import 407
Export 407
Essential steps to start with nonlinearity 199
Eulerian codes 343
Meshes 344
Experimental method 1,395
Explicit method 328, 329
Explicit scheme 326
Explicit time integration 323
Export errors 407
Experimental techniques 395
External flow 249Page No. Page No.
G
Failure analysis 15,21 Geometric non linearity 29, 189
Failure mode effect analysis 3 Gap element 134
Fastener modeling 205 General area 59
Fatigue 295 Geometry associative mesh 97
Fatigue analysis Geometry check 55
Practical application 32 Goodman diagram 301
Commonly used software 32 Governing equation 2
History 296 Gravity loading 167
Low cycle 298 Green-Lagrange strain 196
High cycle 298
Finite element analysis 3
Finite element method H
Advantages 10
i idiviy 1 c Hammer excitation 405
Theoretical
1 3
16
Harmonic response 364
Head restraints 347
Present status 15
Finite volume method 4 Heat exchanger 259
H-element 184
Fixed trias 115
Hooke's law 159
Floating trias 114
Flow classification 33 Hourglass control 338
Fluid dynamics 33
HR 410
Flux difference splitting schemes 282 Hydrostatic pressure 163
Flux vector splitting schemes 282
Force application via equation 162 |
Forced convection 249
Forced vibration analysis 207 IC engine block thermal analysis 265
Forces 37 Ideal shape
Fourier coefficient 353 For quad element 98
Fourier transform 353 For tria element 98
Fracture mechanics approach 311 Impact Hammer 405
Free free run 219 Impact simulation 34, 342
Free edges 101 Implicit method 329
Free vibration analysis 216 Implicit scheme 328
Frequency domain 212 Import errors 407
Frequency 209 Included angle 100, 121
Frequency response 228 Incompressible flow 282
Frequency response function 355 Infinite life 298
Frictional damping 215 Internal flow 247
Frequency content 353 Interpolation function 8
Full dynamic simulation 342 Interview
Full vehicle analysis 167 Preparation 411
One wheel in ditch 168 Question 411
Two wheel in ditch 168 Integral form 274
Braking 168 Isotropic 160
Cornering 169Page No. Page No.
J Mass moments ofinertia
Master bodies
47
331
Jacobian 100 Material nonlinearity 192
Joint modeling 127, 143 Material classification
Jpeg format 383 Isotropic 160
Orthotropic 160
K
Anisotropic 160
Laminates 160
Kinematic constraint method 340 Material properties 161
MBD 402
Measurement offatigue life 401
Mechanism mode 221
L Meshing 49, 63, 85,111
Types 57
Lagrangian meshes 344 Geometry based 57
Lagrangian codes 343 Automatic 58
Laminar flow 246,285
Mapped 58
Laminates 160
Manual 58, 118
Large rotations 190 Batch 58
Large strain 190 In critical areas 91
Lassi making machine 25 Transition 95
Leakage 141
Display option 60
Solver 141
Shell mesh 60,95
Level crossing counting 312 Mixed mode 60
Linear buckling analysis 186 Brick mesh 118
Linear static analysis 27, 175 Solid 112
Practical application 28 Meshing techniques 58
Commonly used software 28 Measurement 403
Definition 27, 175 Miner's rule 303
Linear static solver 28
Mistake 407
Linear superposition 382 Modal assurance criteria 372
Linear tetra element 117
Modal solver 231
Load cells 397
Mode shape 222
Logarithmic strain 195 Model updating 372
Low cycle fatigue 298 Model validation 371
Lumped heat capacity 244 Modulus ofelasticity 159
Modulus ofrigidity 159
M Moment
Moment ofinertia
38
Manager 22,409 Area 46
Manufacturing 22 Polar 46
Purchase 22 Multi axial force measurement 398
Quality 22 Multi axial fatigue 316
Marketing/Sales 22 Multipoint constraints 139
Industrial engg. 22
Maintenance 22
N
CAE 409
Manufacturing techniques 24 Natural convection 253
Mass element 136
Natural frequency 216Page No. Page No.
Natural frequency analysis 216 Pipe 63
Navier stokes equations 272 Plane strain 87
Newton Raphson method 198 Plane stress 87
Nodal stresses 380 Plane symmetry 173
Noise control 373, 375 Poisson's ratio 159
Noise vibration harshness 351 Polar moment ofinertia 46
Sound radiation 368 Polyhedral meshing 17,26
Uncoupled problem 34 Post processing 15, 18
Coupled or vibrocoustic 34 Postprocessing techniques 377
Practical application 34 Powerpointpresentation 393
Commonly used software 34 Powerspectral density 235
Nonlinear 28 Preprocessing 15, 18
Nonlinear static analysis 187 Pressure 162
Nonlinearity 189 Processing
Neuber's equation 142,311 Preprocessing 15, 18
Numerical method 1,3 Post-processing 15, 18
Nusselt number 247
NVH analysis 351
Q
0 Quality checks 98, 115, 178
Aspect 99
Occupant crash protection 348 Skew 99
Occupant safety 349 Jacobian 100
Octave band representation 353 Distortion 100
One dimensional element Stretch 100
Rod 63,65 Included angle 100
Bar 63 Taper 101
Beam 63,74 Quasistatic simulation 342
Axisymmetric shell 63
Pipe 63
Optimization R
Geometry parameter 32
R&D 22,23
Shape Parameter 32
Radiation heat transfer 255
Practical application 32
Radiator 259
Commonly used software
Orthotropic
32
160
Rain flow counting 314
Random vibrations 207,235
Other mesh check 101, 116, 122
Over damped 226
Reduced integration 338
Relative design 14
Reliability 297
P Residual stress 345,377, 393
Resonance 222
Peak counting 313 Reversal 309
p-Element 184 Reynolds number 33, 249
Penalty stiffness method 340 Ribs 223, 390
Photo elasticity 396 Rigid element 139
2-D 397 Road condition 24
3-D 397 Rod 151
Piola-Kirchoffstress 196 Rod element 63,65Stiffness matrix by Direct Method
R-Tria(Right angle triangle)
Page No.
65
96
Scalar 39
Scaling ofresult 383
Seat belt anchorage system 348
Seating system 347
Shaker excitation 404
Shear centre 84
Shell normal 103
Shrink fit simulation 154
Contact analysis 155
Gap elements 155
Beam elements 156
Temp method 156
Constraint method 157
Side impact 349
Simple harmonic motion 215
Simulate a contact 330
Single degree offreedom 228
Skew 99
Slave bodies 331
Slip condition 332
Solution restart method 183
Solver 182,231
Sound intensity 355
Soundpower 355
Sound pressure 352
Special elements 127
Gap 134
Mass 136
Spring and damper 138
Rigid and constraints 139
Special techniques 127
Spring element 138
Spin softening 190
Static 27, 175
Static fatigue 299
Static indeterminacy 45
Steady state conduction 242
Stick condition 332
Stiffness 16
Stiffness matrix 16,64
Strain gauge 395
Strain life approach 308
Strain energy plot 388
Stress 35
Page No.
Types ofstress 36
Analysis ofstress 40
Uni-axial stress 41
Bi-axial stress 42
Tri-axial stress 45
Shear stress 42
Principal stress 43
vonMises stress 43
Stress concentration 89, 143
Stress life approach 300
Stretch 100, 121
Structural acoustics 367
Structural born noise 356
Structural crashworthiness 322
Structural damping 216
Structural grid 284
Sub-modeling 184
Surface finish 307
Symmetry check 56
Symmetry 173
System administrator 410
T-connections 116
Taper 101
Temperature loading 166
Temperature method 156
Tensile stress 41
Tensor 39
Tetra collapse 115
Tetra meshing 113
Techniques 113
Quality checks 115
Tetra collapse 115
Stretch 121
Distortion 121
Jacobian 121
Other 121
T-connection 116
Theoretical finite element analysis 16
Thermal analysis 237
Conduction 239
Convection 245
Radiation 255
Practical application 258
Commonly used soft wares 238
IC Engine block 265
Thin shell element 88Page No.
Three-dimensional elements 111
Tetra 113
Penta or wedge 112
Hex or brick 118
Pyramid 112, 125
Tiffformat 383
Time domain 212
Time estimation for meshing 55
Top stress 104
Torque 38, 164
Torque sensors 398
Torque transducer 398
Torsional stress 76
Torture track 401,402
Traction 162
Tractor fender 25
Transducers 406
Transient dynamics 322
Transient response 230
Transmission path 357
Tri-axial 45
Truck 23
Steering knuckle failure analysis 23
True stress 195
True strain 195
Turbulence modeling 285
Turbulent 246
Turbulent flow 246
Two degree offreedom 231
Two-dimensional elements 85
Plane stress 87
Plane strain 87
Plate 87
Membrane 88
Thin shell 88
Axisymmetric solid 88
Types of Id element 63
Types ofelement 50
Types offorces 37
Types ofmoments 38
Types ofstress 36
Unstructured meshing
Page No.
252
V
Vacuum 162
Variable thickness 97
Mould flow analysis 96, 97,293
Variational method 16
Vector 39
Velocity 208
Vibration approach 299
Vibration control 373
Vibration fatigue 299
Vibration level 352
Viscosity 247
Viscous damping 216
Visible range ofvibration 212
w
Wave length 255
Wave speed 360
Weighted residual method 16
Weldedjoints 143
Practical considerations 147
Welding analysis 316
Welding simulation 143
Spot welding 144,317
Arc welding 146,318
Wheel in ditch 168
Wind tunnel testing 286


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