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| موضوع: حل كتاب Solutions Manual for An Introduction to The Finite Element Method - Third Edition الثلاثاء 16 يوليو 2024, 7:24 pm | |
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أخواني في الله أحضرت لكم حل كتاب Solutions Manual for An Introduction to The Finite Element Method - Third Edition by J. N. REDDY Department of Mechanical Engineering Texas A & M University
و المحتوى كما يلي :
Table of Contents Overview A About the Author B Dedication C Preface to the Fourth Edition D Preface to the Third Edition E Preface to the Second Edition F Preface to the First Edition G Symbols and Conversion Factors View sub-sections1 General Introduction View sub-sections2 Mathematical Preliminaries and Classical Variational Methods View sub-sections3 1-D Finite Element Models of Second-Order Differential Equations View sub-sections4 Applications to 1-D Heat Transfer and Fluid and Solid Mechanics Problems View sub-sections5 Finite Element Analysis of Beams and Circular Plates View sub-sections6 Plane Trusses and Frames View sub-sections7 Eigenvalue and Time-Dependent Problems in 1-D View sub-sections8 Numerical Integration and Computer Implementation View sub-sections9 Single-Variable Problems in Two Dimensions View sub-sections10 2-D Interpolation Functions, Numerical Integration, and Computer Implementation View sub-sections11 Flows of Viscous Incompressible Fluids View sub-sections12 Plane Elasticity View sub-sections13 3-D Finite Element Analysis Overview A About the Author B Dedication C Preface to the Fourth Edition D Preface to the Third Edition E Preface to the Second Edition F Preface to the First Edition G Symbols and Conversion Factors View sub-sections1 General Introduction 1.0 CHAPTER PRELIMINARIES 1.1 Background 1.2 Mathematical Model Development 1.3 Numerical Simulations View sub-sections1.4 The Finite Element Method 1.5 The Present Study 1.6 Summary 1.7 Problems 1.8 References for Additional Reading View sub-sections2 Mathematical Preliminaries and Classical Variational Methods 2.0 CHAPTER PRELIMINARIES View sub-sections2.1 General Introduction View sub-sections2.2 Some Mathematical Concepts and Formulae View sub-sections2.3 Energy and Virtual Work Principles View sub-sections2.4 Integral Formulations of Differential Equations View sub-sections2.5 Variational Methods View sub-sections2.6 Equations of Continuum Mechanics 2.7 Summary 2.8 Problems 2.9 References for Additional Reading View sub-sections3 1-D Finite Element Models of Second-Order Differential Equations 3.0 CHAPTER PRELIMINARIES View sub-sections3.1 Introduction View sub-sections3.2 Finite Element Analysis Steps View sub-sections3.3 Finite Element Models of Discrete Systems View sub-sections3.4 Finite Element Models of Continuous Systems View sub-sections3.5 Axisymmetric Problems View sub-sections3.6 Errors in Finite Element Analysis 3.7 Summary 3.8 Problems 3.9 References for Additional Reading View sub-sections4 Applications to 1-D Heat Transfer and Fluid and Solid Mechanics Problems 4.0 CHAPTER PRELIMINARIES 4.1 Preliminary Comments View sub-sections4.2 Heat Transfer View sub-sections4.3 Fluid Mechanics View sub-sections4.4 Solid and Structural Mechanics 4.5 Summary 4.6 Problems 4.7 References for Additional Reading View sub-sections5 Finite Element Analysis of Beams and Circular Plates 5.0 CHAPTER PRELIMINARIES 5.1 Introduction View sub-sections5.2 Euler–Bernoulli Beam Element View sub-sections5.3 Timoshenko Beam Elements View sub-sections5.4 Axisymmetric Bending of Circular Plates 5.5 Summary 5.6 Problems 5.7 References for Additional Reading View sub-sections6 Plane Trusses and Frames 6.0 CHAPTER PRELIMINARIES 6.1 Introduction View sub-sections6.2 Analysis of Trusses View sub-sections6.3 Analysis of Plane Frame Structures View sub-sections6.4 Inclusion of Constraint Conditions 6.5 Summary 6.6 Problems Free 6.7 References for Additional Reading View sub-sections7 Eigenvalue and Time-Dependent Problems in 1-D 7.0 CHAPTER PRELIMINARIES 7.1 Introduction View sub-sections7.2 Equations of Motion View sub-sections7.3 Eigenvalue Problems View sub-sections7.4 Transient Analysis 7.5 Summary 7.6 Problems 7.7 References for Additional Reading View sub-sections8 Numerical Integration and Computer Implementation 8.0 CHAPTER PRELIMINARIES 8.1 Introduction View sub-sections8.2 Numerical Integration View sub-sections8.3 Computer Implementation View sub-sections8.4 Applications of Program FEM1D 8.5 Summary 8.6 Problems 8.7 References for Additional Reading View sub-sections9 Single-Variable Problems in Two Dimensions 9.0 CHAPTER PRELIMINARIES 9.1 Introduction View sub-sections9.2 Boundary Value Problems View sub-sections9.3 Modeling Considerations View sub-sections9.4 Numerical Examples View sub-sections9.5 Eigenvalue and Time-Dependent Problems 9.6 Summary 9.7 Problems 9.8 References for Additional Reading View sub-sections10 2-D Interpolation Functions, Numerical Integration, and Computer Implementation 10.0 CHAPTER PRELIMINARIES View sub-sections10.1 Introduction View sub-sections10.2 2-D Element Library View sub-sections10.3 Numerical Integration View sub-sections10.4 Modeling Considerations View sub-sections10.5 Computer Implementation and FEM2D 10.6 Summary 10.7 Problems 10.8 References for Additional Reading View sub-sections11 Flows of Viscous Incompressible Fluids 11.0 CHAPTER PRELIMINARIES 11.1 Introduction 11.2 Governing Equations View sub-sections11.3 Velocity–Pressure Formulation View sub-sections11.4 Penalty Function Formulation View sub-sections11.5 Computational Aspects 11.6 Numerical Examples 11.7 Summary 11.8 Problems 11.9 References for Additional Reading View sub-sections12 Plane Elasticity 12.0 CHAPTER PRELIMINARIES 12.1 Introduction View sub-sections12.2 Governing Equations View sub-sections12.3 Virtual Work and Weak Formulations View sub-sections12.4 Finite Element Model View sub-sections12.5 Elimination of Shear Locking in Linear Elements 12.6 Numerical Examples 12.7 Summary 12.8 Problems 12.9 References for Additional Reading View sub-sections13 3-D Finite Element Analysis 13.0 CHAPTER PRELIMINARIES 13.1 Introduction View sub-sections13.2 Heat Transfer View sub-sections13.3 Flows of Viscous Incompressible Fluids View sub-sections13.4 Elasticity View sub-sections13.5 Element Interpolation Functions and Numerical Integration 13.6 Numerical Examples 13.7 Summary 13.8 Problems 13.9 References for Additional Reading Table of Contents Contents Finite Element Method 1. Introduction to finite element analysis 2. Brief history 3. General Finite Element Method steps 3.1. Step 1: Discretize and Select the Element Types 3.2. Step 2: Select U Function (degrees of freedom) 3.3. Step 3: Determination of strain/displacement and stress/strain relationships 3.4. Step 4: Derive the Element Stiffness Matrix and Equations 3.5. Step 5: Assemble the Element Equations to get the Global or Total Equations, and then add Boundary Conditions 3.6. Step 6: Determine the Unknown Degrees of Freedom 3.7. Step 7: Solution for the Element Strains and Stresses 3.8. Step 8: Analyze the Result of finite element analysis 4. Application of FEM (finite element analysis) 4.1. Aerospace & FEA analysis 4.2. Naval & FEA analysis 4.3. Sports & FEA analysis 5. Benefits of Using the Finite Element Method 6. Limitation of Finite Element Method 7. FEM & FEA (Finite Element Analysis) 8. FEM Software 8.1 Verification and Validation of FEA Results 9. Example of process FEM to FEA 9.1. Step 1: Modeling 9.2. Step 2: Choose the material of the structure 9.3. Step 3: Assemble the structure 9.4. Step 4: Choose the solution method 9.5. Step 5: Create boundary condition 9.6. Step 6: Choose the element type 9.7. Step 7: result
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