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عدد المساهمات : 18994 التقييم : 35488 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
| موضوع: كتاب Finite Element Modeling and Simulation with ANSYS Workbench السبت 24 أغسطس 2019, 12:28 am | |
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أخوانى فى الله أحضرت لكم كتاب Finite Element Modeling and Simulation with ANSYS Workbench Second Edition Xiaolin Chen, Yijun Liu
و المحتوى كما يلي :
Contents Preface xi Authors . xiii 1. Introduction .1 1.1 Some Basic Concepts 1 1.1.1 Why FEA? .1 1.1.2 Finite Element Applications in Engineering 1 1.1.3 FEA with ANSYS Workbench 3 1.1.4 A Brief History of FEA 3 1.1.5 A General Procedure for FEA 4 1.2 An Example in FEA: Spring System .4 1.2.1 One Spring Element .5 1.2.2 A Spring System .6 1.2.2.1 Assembly of Element Equations: Direct Approach .6 1.2.2.2 Assembly of Element Equations: Energy Approach .8 1.2.3 Boundary and Load Conditions 9 1.2.4 Solution Verification 10 1.2.5 Example Problems . 10 1.3 Overview of ANSYS Workbench 13 1.3.1 The User Interface 13 1.3.2 The Toolbox . 14 1.3.3 The Project Schematic . 14 1.3.4 Working with Cells 16 1.3.5 The Menu Bar . 16 1.4 Summary 17 Problems 18 2. Bars and Trusses . 21 2.1 Introduction . 21 2.2 Review of the 1-D Elasticity Theory . 21 2.3 Modeling of Trusses .22 2.4 Formulation of the Bar Element 23 2.4.1 Stiffness Matrix: Direct Method 23 2.4.2 Stiffness Matrix: Energy Approach .25 2.4.3 Treatment of Distributed Load 27 2.4.4 Bar Element in 2-D and 3-D 28 2.4.4.1 2-D Case .28 2.4.4.2 3-D Case . 31 2.4.5 Element Stress 31 2.5 Examples with Bar Elements . 32 2.6 Case Study with ANSYS Workbench .40 2.7 Summary 59 2.8 Review of Learning Objectives .59 Problems 59vi Contents 3. Beams and Frames 65 3.1 Introduction .65 3.2 Review of the Beam Theory 65 3.2.1 Euler–Bernoulli Beam and Timoshenko Beam .65 3.2.2 Stress, Strain, Deflection, and Their Relations 67 3.3 Modeling of Beams and Frames .68 3.3.1 Cross Sections and Strong/Weak Axis .68 3.3.2 Support Conditions .69 3.3.3 Conversion of a Physical Model into a Line Model 70 3.4 Formulation of the Beam Element 70 3.4.1 Element Stiffness Equation: The Direct Approach .71 3.4.2 Element Stiffness Equation: The Energy Approach .72 3.4.3 Treatment of Distributed Loads . 74 3.4.4 Stiffness Matrix for a General Beam Element 75 3.5 Examples with Beam Elements . 76 3.6 Case Study with ANSYS Workbench .85 3.7 Summary 112 3.8 Review of Learning Objectives . 112 Problems 112 4. Two-Dimensional Elasticity . 117 4.1 Introduction . 117 4.2 Review of 2-D Elasticity Theory . 117 4.2.1 Plane Stress . 117 4.2.2 Plane Strain . 118 4.2.3 Stress–Strain (Constitutive) Equations . 119 4.2.4 Strain and Displacement Relations . 120 4.2.5 Equilibrium Equations 121 4.2.6 Boundary Conditions 121 4.2.7 Exact Elasticity Solution 121 4.3 Modeling of 2-D Elasticity Problems 122 4.4 Formulation of the Plane Stress/Strain Element 123 4.4.1 A General Formula for the Stiffness Matrix 124 4.4.2 Constant Strain Triangle (CST or T3) 124 4.4.3 Quadratic Triangular Element (LST or T6) 129 4.4.4 Linear Quadrilateral Element (Q4) 130 4.4.5 Quadratic Quadrilateral Element (Q8) 131 4.4.6 Transformation of Loads . 132 4.4.7 Stress Calculation 134 4.4.7.1 The von Mises Stress . 134 4.4.7.2 Averaged Stresses . 135 4.4.8 General Comments on the 2-D Elements . 136 4.5 Case Study with ANSYS Workbench . 137 4.6 Summary 155 4.7 Review of Learning Objectives . 155 Problems 156 5. Modeling and Solution Techniques . 161 5.1 Introduction . 161Contents vii 5.2 Symmetry . 161 5.2.1 An Example 162 5.3 Substructures (Superelements) . 163 5.4 Equation Solving . 164 5.4.1 Direct Methods (Gauss Elimination) 164 5.4.2 Iterative Methods . 164 5.4.3 An Example: Gauss Elimination 164 5.4.4 An Example: Iterative Method . 165 5.5 Nature of Finite Element Solutions 166 5.6 Convergence of FEA Solutions 167 5.7 Adaptivity (h-, p-, and hp-Methods) 167 5.8 Case Study with ANSYS Workbench . 168 5.9 Summary 182 5.10 Review of Learning Objectives . 183 Problems 183 6. Plate and Shell Analyses . 187 6.1 Introduction . 187 6.2 Review of Plate Theory 187 6.2.1 Force and Stress Relations in Plates 187 6.2.2 Thin Plate Theory (Kirchhoff Plate Theory) 189 6.2.2.1 Example: A Thin Plate . 191 6.2.3 Thick Plate Theory (Mindlin Plate Theory) . 192 6.2.4 Shell Theory 193 6.2.4.1 Shell Example: A Cylindrical Container . 193 6.3 Modeling of Plates and Shells . 194 6.4 Formulation of the Plate and Shell Elements 195 6.4.1 Kirchhoff Plate Elements 195 6.4.2 Mindlin Plate Elements . 196 6.4.3 Discrete Kirchhoff Elements 197 6.4.4 Flat Shell Elements . 197 6.4.5 Curved Shell Elements 198 6.5 Case Studies with ANSYS Workbench . 199 6.6 Summary 214 6.7 Review of Learning Objectives . 214 Problems 214 7. Three-Dimensional Elasticity 219 7.1 Introduction . 219 7.2 Review of Theory of Elasticity 219 7.2.1 Stress–Strain Relation .220 7.2.2 Displacement 221 7.2.3 Strain–Displacement Relation 221 7.2.4 Equilibrium Equations 221 7.2.5 Boundary Conditions 222 7.2.6 Stress Analysis .222 7.3 Modeling of 3-D Elastic Structures 222 7.3.1 Mesh Discretization .223 7.3.2 Boundary Conditions: Supports 223viii Contents 7.3.3 Boundary Conditions: Loads . 224 7.3.4 Assembly Analysis: Contacts . 224 7.4 Formulation of Solid Elements 225 7.4.1 General Formulation .225 7.4.2 Typical Solid Element Types 226 7.4.3 Formulation of a Linear Hexahedral Element Type .227 7.4.4 Treatment of Distributed Loads .230 7.5 Case Studies with ANSYS Workbench .230 7.6 Summary 255 7.7 Review of Learning Objectives .255 Problems 255 8. Structural Vibration and Dynamics . 261 8.1 Introduction . 261 8.2 Review of Basic Equations . 261 8.2.1 A Single DOF System 262 8.2.2 A Multi-DOF System .264 8.2.2.1 Mass Matrices .264 8.2.2.2 Damping 266 8.3 Formulation for Modal Analysis 267 8.3.1 Modal Equations 269 8.4 Formulation for Frequency Response Analysis . 271 8.4.1 Modal Method 271 8.4.2 Direct Method 272 8.5 Formulation for Transient Response Analysis 272 8.5.1 Direct Methods (Direct Integration Methods) . 273 8.5.2 Modal Method 274 8.6 Modeling Examples 275 8.6.1 Modal Analysis 275 8.6.2 Frequency Response Analysis . 276 8.6.3 Transient Response Analysis . 276 8.6.4 Cautions in Dynamic Analysis 276 8.7 Case Studies with ANSYS Workbench .277 8.8 Summary 293 8.9 Review of Learning Objectives . 294 Problems 294 9. Thermal Analysis . 301 9.1 Introduction . 301 9.2 Review of Basic Equations . 301 9.2.1 Thermal Analysis . 301 9.2.1.1 Finite Element Formulation for Heat Conduction .303 9.2.2 Thermal Stress Analysis .303 9.2.2.1 1-D Case .304 9.2.2.2 2-D Cases .305 9.2.2.3 3-D Case .305 9.2.2.4 Notes on FEA for Thermal Stress Analysis 305 9.3 Modeling of Thermal Problems 306 9.3.1 Thermal Analysis .306Contents ix 9.3.2 Thermal Stress Analysis .306 9.4 Case Studies with ANSYS Workbench .308 9.5 Summary 330 9.6 Review of Learning Objectives .330 Problems 330 10. Introduction to Fluid Analysis 337 10.1 Introduction . 337 10.2 Review of Basic Equations . 337 10.2.1 Describing Fluid Motion . 337 10.2.2 Types of Fluid Flow . 337 10.2.3 Navier–Stokes Equations 338 10.3 Modeling of Fluid Flow 339 10.3.1 Fluid Domain .339 10.3.2 Meshing .339 10.3.3 Boundary Conditions 339 10.3.4 Solution Visualization .340 10.4 Case Studies with ANSYS Workbench .341 10.5 Summary 368 10.6 Review of Learning Objectives .368 Problems 368 11. Design Optimization . 373 11.1 Introduction . 373 11.2 Topology Optimization 373 11.3 Parametric Optimization . 374 11.4 Design Space Exploration for Parametric Optimization . 374 11.4.1 Design of Experiments 375 11.4.2 Response Surface Optimization 377 11.5 Case Studies with ANSYS Workbench .377 11.6 Summary 415 11.7 Review of Learning Objectives . 415 Problems 415 12. Failure Analysis 419 12.1 Introduction . 419 12.2 Static Failure 419 12.2.1 Ductile Failure 419 12.2.1.1 Maximum Shear Stress Theory (Tresca Criterion) 419 12.2.1.2 Distortion Energy Theory (von Mises Criterion) .420 12.2.2 Brittle Failure 420 12.2.2.1 Maximum Normal Stress Theory 420 12.2.2.2 Mohr–Coulomb Theory 420 12.3 Fatigue Failure . 421 12.3.1 Soderberg Failure Criterion 422 12.3.2 Goodman Failure Criterion 422 12.3.3 Gerber Failure Criterion 423 12.4 Buckling Failure 424 12.5 Case Studies with ANSYS Workbench .425x Contents 12.6 Summary 436 12.7 Review of Learning Objectives .436 Problems 437 Appendix 1: Review of Matrix Algebra 441 Appendix 2: Photo Credits .447 References .449 Index .
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