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The Finite Element Method Using MATLAB, Second Edition : Mechanical Engineering Series - Young W. Kwon

The Finite Element Method Using MATLAB, Second Edition

Mechanical Engineering Series

Hardcover Published: 1st October 2000
ISBN: 9780849300967
Number Of Pages: 624

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Expanded to include a broader range of problems than the bestselling first edition, Finite Element Method Using MATLAB: Second Edition presents finite element approximation concepts, formulation, and programming in a format that effectively streamlines the learning process. It is written from a general engineering and mathematical perspective rather than that of a solid/structural mechanics basis. What's new in the Second Edition? Each chapter in the Second Edition now includes an overview that outlines the contents and purpose of each chapter. The authors have also added a new chapter of special topics in applications, including cracks, semi-infinite and infinite domains, buckling, and thermal stress. They discuss three different linearization techniques to solve nonlinear differential equations. Also included are new sections on shell formulations and MATLAB programs. These enhancements increase the book's already significant value both as a self-study text and a reference for practicing engineers and scientists.

INTRODUCTION TO MATLAB Finite Element Method Overview of the Book About MATLAB Vector and Matrix Manipulations Matrix Functions Data Analysis Functions Tools for Polynomials Making Complex Numbers Nonlinear Algebraic Equations Solving Differential Equations Loop and Logical Statement Writing Function Subroutines File Manipulation Basic Input-Output Functions Plotting Tools APPROXIMATION TECHNIQUES Methods of Weighted Residual Weak Formulation Piecewise Continuous Trial Function Galerkin's Finite Element Formulation Variational Method Rayleigh-Ritz Method Rayleigh-Ritz Finite Element Method FINITE ELEMENT PROGRAMMING Overall Program Structure Input Data Assembly of Element Matrices and Vectors Application of Constraints Example Programs DIRECT APPROACH WITH SPRING SYSTEM Linear Spring Axial Member Torsional Member Other Systems LAPLACE'S AND POISSON'S EQUATIONS Governing Equation Linear Triangular Element Bilinear Rectangular Element Boundary Integral Transient Analysis Time Integration Technique Axisymmetric Analysis Three-Dimensional Analysis MATLAB Application to 2-D Steady State Analysis MATLAB Application to Axisymmetric Analysis MATLAB Application to Transient Analysis MATLAB Application to 3-D Steady State Analysis ISOPARAMETRIC ELEMENTS One-Dimensional Elements Quadrilateral Elements Triangular Elements Gauss Quadrature MATLAB Application to Gauss Quadrature MATLAB Application to Laplace Equation TRUSS STRUCTURES One-Dimensional Truss Plane Truss Space Truss MATLAB Application to Static Analysis MATLAB Application to Eigenvalue Analysis MATLAB Application to Transient Analysis BEAM AND FRAME STRUCTURES Euler-Bernoulli Beam Timoshenko Beam Beam Elements with Only Displacement Degrees of Freedom Mixed Beam Element Hybrid Beam Element Composite Beams Two-Dimensional Frame Element Three-Dimensional Frame Element MATLAB Application to Static Analysis MATLAB Application to Eigenvalue Analysis MATLAB Application to Transient Analysis MATLAB Application to Modal Analysis of Undamped Systems MATLAB Applications to Modal Analysis of Damped Systems MATLAB Applications to Frequency Response Analysis ELASTICITY PROBLEM Plane Stress and Plane Strain Force Vector Energy Method Three-Dimensional Solid Axisymmetric Solid Dynamic Analysis Thermal Stress MATLAB Application to 2-D Stress Analysis MATLAB Application to Axisymmetric Analysis MATLAB Application to 3-D Stress Analysis PLATE AND SHELL STRUCTURES Classical Plate Theory Classical Plate Bending Element Shear Deformable Plate Element Plate Element with Displacement Degrees of Freedom Mixed Plate Element Hybrid Plate Element Shell Made of Inplane and Bending Elements Shell Degenerated from 3-D Solid MATLAB Application to Plates MATLAB Application to Shells CONTROL OF FLEXIBLE STRUCTURES Introduction Stability Theory Stability of Multiple Degrees of Freedom Systems Analysis of a Second Order System State Space Form Description Transfer Function Analysis Control Law Design for State Space Systems Linear Quadratic Regulator Modal Control for Second Order Systems Dynamic Observer Compensator Design Output Feedback Design by Using Collocated Sensor/Actuator SPECIAL TOPICS Chapter Overview Stationary Singular Elements Quarter-Point Singular Elements Moving Singular Elements Semi-Infinite Element Thermal Stress in Layered Beams Buckling Analysis Nonlinear Analysis MATLAB Application to Buckling Problem MATLAB Application to Nonlinear Problem REFERENCES APPENDIX A: FEA MATLAB Function Files APPENDIX B: Examples of Pre- and Post-Processor INDEX Note: Each chapter also includes a Chapter Overview and Problems

ISBN: 9780849300967
ISBN-10: 0849300967
Series: Mechanical Engineering Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 624
Published: 1st October 2000
Publisher: CRC PR INC
Country of Publication: US
Dimensions (cm): 25.4 x 18.42  x 3.81
Weight (kg): 1.25
Edition Number: 2
Edition Type: New edition

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