Efnisyfirlit

• Title
• Copyright
• Contents
• Preface
• Acknowledgments
• 1 Introduction
  • 1.1 Engineering Problems
  • 1.2 Numerical Methods
  • 1.3 A Brief History of the Finite Element Method and Ansys
  • 1.4 Basic Steps in the Finite Element Method
  • 1.5 Direct Formulation
  • 1.6 Minimum Total Potential Energy Formulation
  • 1.7 Weighted Residual Formulations
  • 1.8 Verification of Results
  • 1.9 Understanding the Problem
  • Summary
  • References
  • Problems
• 2 Matrix Algebra
  • 2.1 Basic Definitions
  • 2.2 Matrix Addition or Subtraction
  • 2.3 Matrix Multiplication
  • 2.4 Partitioning of a Matrix
  • 2.5 Transpose of a Matrix
  • 2.6 Determinant of a Matrix
  • 2.7 Solutions of Simultaneous Linear Equations
  • 2.8 Inverse of a Matrix
  • 2.9 Eigenvalues and Eigenvectors
  • 2.10 Using Matlab to Manipulate Matrices
  • 2.11 Using Excel to Manipulate Matrices
  • Summary
  • References
  • Problems
• 3 Trusses
  • 3.1 Definition of a Truss
  • 3.2 Finite Element Formulation
  • 3.3 Space Trusses
  • 3.4 Overview of the Ansys Program
  • 3.5 Examples Using Ansys
  • 3.6 Verification of Results
  • Summary
  • References
  • Problems
• 4 Axial Members, Beams, and Frames
  • 4.1 Members Under Axial Loading
  • 4.2 Beams
  • 4.3 Finite Element Formulation of Beams
  • 4.4 Finite Element Formulation of Frames
  • 4.5 Three-Dimensional Beam Element
  • 4.6 An Example Using Ansys
  • 4.7 Verification of Results
  • Summary
  • References
  • Problems
• 5 One-Dimensional Elements
  • 5.1 Linear Elements
  • 5.2 Quadratic Elements
  • 5.3 Cubic Elements
  • 5.4 Global, Local, and Natural Coordinates
  • 5.5 Isoparametric Elements
  • 5.6 Numerical Integration: Gauss–Legendre Quadrature
  • 5.7 Examples of One-Dimensional Elements in Ansys
  • Summary
  • References
  • Problems
• 6 Analysis of One-Dimensional Problems
  • 6.1 Heat Transfer Problems
  • 6.2 A Fluid Mechanics Problem
  • 6.3 An Example Using Ansys
  • 6.4 Verification of Results
  • Summary
  • References
  • Problems
• 7 Two-Dimensional Elements
  • 7.1 Rectangular Elements
  • 7.2 Quadratic Quadrilateral Elements
  • 7.3 Linear Triangular Elements
  • 7.4 Quadratic Triangular Elements
  • 7.5 Axisymmetric Elements
  • 7.6 Isoparametric Elements
  • 7.7 Two-Dimensional Integrals: Gauss–Legendre Quadrature
  • 7.8 Examples of Two-Dimensional Elements in Ansys
  • Summary
  • References
  • Problems
• 8 More Ansys
  • 8.1 Ansys Program
  • 8.2 Ansys Database and Files
  • 8.3 Creating a Finite Element Model with Ansys: Preprocessing
  • 8.4 h-Method Versus p-Method
  • 8.5 Applying Boundary Conditions, Loads, and the Solution
  • 8.6 Results of Your Finite Element Model: Postprocessing
  • 8.7 Selection Options
  • 8.8 Graphics Capabilities
  • 8.9 Error-Estimation Procedures
  • 8.10 An Example Problem
  • Summary
  • References
• 9 Analysis of Two-Dimensional Heat Transfer Problems
  • 9.1 General Conduction Problems
  • 9.2 Formulation with Rectangular Elements
  • 9.3 Formulation with Triangular Elements
  • 9.4 Axisymmetric Formulation of Three-Dimensional Problems
  • 9.5 Unsteady Heat Transfer
  • 9.6 Conduction Elements Used by Ansys
  • 9.7 Examples Using Ansys
  • 9.8 Verification of Results
  • Summary
  • References
  • Problems
• 10 Analysis of Two-Dimensional Solid Mechanics Problems
  • 10.1 Torsion of Members with Arbitrary Cross-Section Shape
  • 10.2 Plane-Stress Formulation
  • 10.3 Isoparametric Formulation: Using a Quadrilateral Element
  • 10.4 Axisymmetric Formulation
  • 10.5 Basic Failure Theories
  • 10.6 Examples Using Ansys
  • 10.7 Verification of Results
  • Summary
  • References
  • Problems
• 11 Dynamic Problems
  • 11.1 Review of Dynamics
  • 11.2 Review of Vibration of Mechanical and Structural Systems
  • 11.3 Lagrange’s Equations
  • 11.4 Finite Element Formulation of Axial Members
  • 11.5 Finite Element Formulation of Beams and Frames
  • 11.6 Examples Using Ansys
  • Summary
  • References
  • Problems
• 12 Analysis of Fluid Mechanics Problems
  • 12.1 Direct Formulation of Flow Through Pipes
  • 12.2 Ideal Fluid Flow
  • 12.3 Groundwater Flow
  • 12.4 Examples Using Ansys
  • 12.5 Verification of Results
  • Summary
  • References
  • Problems
• 13 Three-Dimensional Elements
  • 13.1 The Four-NodeTetrahedral Element
  • 13.2 Analysis of Three-Dimensional Solid Problems Using Four-NodeTetrahedral Elements
  • 13.3 The Eight-Node Brick Element
  • 13.4 The Ten-Node Tetrahedral Element
  • 13.5 The Twenty-Node Brick Element
  • 13.6 Examples of Three-Dimensional Elements in Ansys
  • 13.7 Basic Solid-Modeling Ideas
  • 13.8 A Thermal Example Using Ansys
  • 13.9 A Structural Example Using Ansys
  • Summary
  • References
  • Problems
• 14 Design and Material Selection
  • 14.1 Engineering Design Process
  • 14.2 Material Selection
  • 14.3 Electrical, Mechanical, and Thermophysical Properties of Materials
  • 14.4 Common Solid Engineering Materials
  • 14.5 Some Common Fluid Materials
  • Summary
  • References
  • Problems
• 15 Design Optimization
  • 15.1 Introduction to Design Optimization
  • 15.2 The Parametric Design Language of Ansys
  • 15.3 Examples of Batch Files
  • Summary
  • References
  • Problems
• Appendix A Mechanical Properties of Some Materials
• Appendix B Thermophysical Properties of Some Materials
• Appendix C Properties of Common Line and Area Shapes
• Appendix D Geometrical Properties of Structural Steel Shapes
• Appendix E Conversion Factors
• Appendix F An Introduction to MATLAB
• Index
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • I
  • J
  • K
  • L
  • M
  • N
  • O
  • P
  • Q
  • R
  • S
  • T
  • U
  • V
  • W
  • Y

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