The finite element method using MATLAB. (2018)

• Record Type: Book
• Further Information: Note: Y.W. Kwon, H. Bang.
• Authors: Kwon, Young W; Bang, Hyochoong
• Contents: 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
• Edition: 2nd edition
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 620.00151535; Finite element method
• Languages: English
• ISBNs: 9781351992121
• Related ISBNs: 9781420041880; 9781351995207; 9781315275949
• Notes: Note: Description based on CIP data; resource not viewed.
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