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The Finite Element Method Using MATLAB, Second Edition,9780849300967
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The Finite Element Method Using MATLAB, Second Edition


Author(s): Kwon; Young W.
ISBN10:  0849300967
ISBN13:  9780849300967
Format:  Hardcover
Pub. Date:  7/28/2000
Publisher(s): CRC

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SummaryTable of Contents
Presents finite element approximation concepts, formulation and programming in a format that streamlines the learning process. Written from a general engineering and mathematics perspective. Includes examples of computer programs for boundary value, initial value, eigenvalue problems, and structural controls.
Introduction to MATLAB
1(30)
Chapter Overview
1(1)
Finite Element Method
1(1)
Overview of the Book
2(1)
About MATLAB
2(1)
Vector and Matrix Manipulations
3(1)
Matrix Functions
4(6)
Data Analysis Functions
10(2)
Tools for Polynomials
12(3)
Making Complex Numbers
15(1)
Nonlinear Algebraic Equations
15(2)
Solving Differential Equations
17(1)
Loop and Logical Statements
18(2)
Writing Function Subroutines
20(2)
File Manipulation
22(1)
Basic Input-Output Functions
23(1)
Plotting Tools
24(7)
Approximation Techniques
31(20)
Chapter Overview
31(1)
Methods of Weighted Residual
31(3)
Weak Formulation
34(1)
Piecewise Continuous Trial Function
35(2)
Galerkin's Finite Element Formulation
37(5)
Variational Method
42(1)
Rayleigh-Ritz Method
42(1)
Rayleigh-Ritz Finite Element Method
43(8)
Problems
46(5)
Finite Element Programming
51(20)
Chapter Overview
51(1)
Overall Program Structure
51(1)
Input Data
52(2)
Assembly of Element Matrices and Vectors
54(1)
Application of Constraints
54(2)
Example Programs
56(15)
Problems
70(1)
Direct Approach with Spring System
71(14)
Chapter Overview
71(1)
Linear Spring
71(3)
Axial Member
74(2)
Torsional Member
76(2)
Other Systems
78(7)
Problems
81(4)
Laplace's and Poisson's Equations
85(74)
Chapter Overview
85(1)
Governing Eqation
85(3)
Linear Triangular Element
88(4)
Bilinear Rectangular Element
92(2)
Boundary Integral
94(4)
Transient Analysis
98(2)
Time Integration Technique
100(3)
Axisymmetric Analysis
103(2)
Three-Dimensional Analysis
105(4)
MATLAB Application to 2-D Steady State Analysis
109(12)
MATLAB Application to Axisymmetric Analysis
121(5)
MATLAB Application to Transient Analysis
126(24)
MATLAB Application to 3-D Steady State Analysis
150(9)
Problems
155(4)
Isoparametric Elements
159(40)
Chapter Overview
159(1)
One-Dimensional Elements
159(4)
Quadrilateral Elements
163(8)
Triangular Elements
171(1)
Gauss Quadrature
172(7)
MATLAB Application to Gauss Quadrature
179(7)
MATLAB Application to Laplace's Equation
186(13)
Problems
195(4)
Truss Structures
199(38)
Chapter Overview
199(1)
One-Dimensional Truss
199(2)
Plane Truss
201(4)
Space Truss
205(1)
MATLAB Application to Static Analysis
206(12)
MATLAB Application to Eigenvalue Analysis
218(8)
MATLAB Application to Transient Analysis
226(11)
Problems
234(3)
Beam and Frame Structures
237(74)
Chapter Overview
237(1)
Euler-Bernoulli Beam
237(7)
Timoshenko Beam
244(4)
Beam Elements With Only Displacement Degrees of Freedom
248(4)
Mixed Beam Element
252(3)
Hybrid Beam Element
255(4)
Composite Beams
259(3)
Two-Dimensional Frame Element
262(3)
Three-Dimensional Frame Element
265(3)
MATLAB Application to Static Analysis
268(15)
MATLAB Application to Eigenvalue Analysis
283(4)
MATLAB Application to Transient Analysis
287(5)
MATLAB Application to Modal Analysis of Undamped System
292(7)
MATLAB Application to Modal Analysis of Damped System
299(3)
MATLAB Application to Frequency Response Analysis
302(9)
Problems
307(4)
Elasticity Problem
311(54)
Chapter Overview
311(1)
Plane Stress and Plane Strain
311(4)
Force Vector
315(2)
Energy Method
317(2)
Three-Dimensional Solid
319(3)
Axisymmetric Solid
322(2)
Dynamic Analysis
324(1)
Thermal Stress
325(2)
MATLAB Application to 2-D Stress Analysis
327(12)
MATLAB Application to Axisymmetric Analysis
339(12)
MATLAB Application to 3-D Stress Analysis
351(14)
Problems
361(4)
Plate and Shell Structures
365(62)
Chapter Overview
365(1)
Classical Plate Theory
365(3)
Classical Plate Bending Element
368(2)
Shear Deformable Plate Element
370(3)
Plate Element With Displacement Degrees of Freedom
373(4)
Mixed Plate Element
377(6)
Hybrid Plate Element
383(3)
Shell Made of Inplane and Bending Elements
386(3)
Shell Degenerated from 3-D Solid
389(5)
MATLAB Application to Plates
394(7)
MATLAB Application to Shells
401(26)
Problems
424(3)
Control of Flexible Structures
427(86)
Chapter Overview
427(1)
Introduction
427(2)
Stability Theory
429(3)
Stability of Multiple Degrees of Freedom Systems
432(4)
Analysis of a Second Order System
436(5)
State Space Form Description
441(10)
Transfer Function Analysis
451(10)
Control Law Design for State Space Systems
461(11)
Linear Quadratic Regulator
472(10)
Modal Control for Second Order Systems
482(3)
Dynamic Observer
485(5)
Compensator Design
490(4)
Output Feedback Design by Using Collocated Sensor/Actuator
494(19)
Problems
509(4)
Special Topics
513(44)
Chapter Overview
513(1)
Stationary Singular Elements
513(6)
Quarter-Point Singular Elements
519(3)
Moving Singular Elements
522(6)
Semi-Infinite Element
528(3)
Thermal Stress in Layered Beams
531(3)
Buckling Analysis
534(3)
Nonlinear Analysis
537(2)
MATLAB Application to Buckling Problem
539(2)
MATLAB Application to Nonlinear Problem
541(16)
References 557(6)
Appendix A: Fea MATLAB Function Files 563(28)
Appendix B: Examples of Pre- and Post-Processor 591(8)
Index 599

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