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| موضوع: كتاب Practical Finite Element Analysis - First Edition الأربعاء 14 أغسطس 2024, 1:17 am | |
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أخواني في الله أحضرت لكم كتاب Practical Finite Element Analysis - First Edition Nitin S Gokhale Sanjay S Deshpande Sanjeev V Bedekar Anand NThite
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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