The Finite Element Method Using MATLAB, Second Edition

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CRC Press, Jul 28, 2000 - Technology & Engineering - 624 pages
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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.
 

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this is the needed one for programing
That is the first to be read

Contents

85 Hybrid Beam Element
255
86 Composite Beams
259
87 TwoDimensional Frame Element
262
88 ThreeDimensional Frame Element
265
89 MATLAB Application to Static Analysis
268
810 MATLAB Application to Eigenvalue Analysis
283
811 MATLAB Application to Transient Analysis
287
812 MATLAB Application to Modal Analysis of Undamped System
292

111 Loop and Logical Statements
18
112 Writing Function Subroutines
20
113 File Manipulation
22
114 Basic InputOutput Functions
23
115 Plotting Tools
24
APPROXIMATION TECHNIQUES
31
22 Weak Formulation
34
23 Piecewise Continuous Trial Function
35
24 Galerkins Finite Element Formulation
37
25 Variational Method
42
27 RayleighRitz Finite Element Method
43
Problems
46
FINITE ELEMENT PROGRAMMING
51
32 Input Data
52
33 Assembly of Element Matrices and Vectors
54
35 Example Programs
56
Problems
70
DIRECT APPROACH WITH SPRING SYSTEM
71
42 Axial Member
74
43 Torsional Member
76
44 Other Systems
78
Problems
81
LAPLACES AND POISSONS EQUATIONS
85
52 Linear Triangular Element
88
53 Bilinear Rectangular Element
92
54 Boundary Integral
94
55 Transient Analysis
98
56 Time Integration Technique
100
57 Axisymmetric Analysis
103
58 ThreeDimensional Analysis
105
59 MATLAB Application to 2D Steady State Analysis
109
510 MATLAB Application to Axisymmetric Analysis
121
511 MATLAB Application to Transient Analysis
126
512 MATLAB Application to 3D Steady State Analysis
150
Problems
155
ISOPARAMETRIC ELEMENTS
159
62 Quadrilateral Elements
163
63 Triangular Elements
171
64 Gauss Quadrature
172
65 MATLAB Application to Gauss Quadrature
179
66 MATLAB Application to Laplaces Equation
186
Problems
195
TRUSS STRUCTURES
199
72 Plane Truss
201
73 Space Truss
205
74 MATLAB Application to Static Analysis
206
75 MATLAB Application to Eigenvalue Analysis
218
76 MATLAB Application to Transient Analysis
226
Problems
234
BEAM AND FRAME STRUCTURES
237
82 Timoshenko Beam
244
83 Beam Elements with Only Displacement Degrees of Freedom
248
84 Mixed Beam Element
252
813 MATLAB Application to Modal Analysis of Damped System
299
814 MATLAB Application to Frequency Response Analysis
302
Problems
307
ELASTICITY PROBLEM
311
92 Force Vector
315
93 Energy Method
317
94 ThreeDimensional Solid
319
95 Axisymmetric Solid
322
96 Dynamic Analysis
324
97 Thermal Stress
325
98 MATLAB Application to 2D Stress Analysis
327
99 MATLAB Application to Axisymmetric Analysis
339
910 MATLAB Application to 3D Stress Analysis
351
Problems
361
PLATE AND SHELL STRUCTURES
365
102 Classical Plate Bending Element
368
103 Shear Deformable Plate Element
370
104 Plate Element With Displacement Degrees of Freedom
373
105 Mixed Plate Element
377
106 Hybrid Plate Element
383
107 Shell Made of Inplane and Bending Elements
386
108 Shell Degenerated from 3D Solid
389
109 MATLAB Application to Plates
394
1010 MATLAB Application to Shells
401
Problems
424
CONTROL OF FLEXIBLE STRUCTURES
427
112 Stability Theory
429
113 Stability of Multiple Degrees of Freedom Systems
432
114 Analysis of a Second Order System
436
115 State Space Form Description
441
116 Transfer Function Analysis
451
117 Control Law Design for State Space Systems
461
118 Linear Quadratic Regulator
472
119 Modal Control for Second Order Systems
482
1110 Dynamic Observer
485
1111 Compensator Design
490
1112 Output Feedback Design by Using Collocated SensorActuator Discrete Multiple Degrees of Freedom System
494
Problems
509
SPECIAL TOPICS
513
122 QuarterPoint Singular Elements
519
123 Moving Singular Elements
522
124 SemiInfinite Element
528
125 Thermal Stress in Layered Beams
531
126 Buckling Analysis
534
127 Nonlinear Analysis
537
128 MATLAB Application to Buckling Problem
539
129 MATLAB Application to Nonlinear Problem
541
REFERENCES
557
FEM MATLAB FUNCTION FILES
563
EXAMPLES OF PRE AND POSTPROCESSOR
591
INDEX
599
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