图书介绍
基于切比雪夫－李兹法的结构元三维振动分析PDF|Epub|txt|kindle电子书版本下载
- 周叮著 著
- 出版社： 北京：科学出版社
- ISBN：7030188780
- 出版时间：2007
- 标注页数：269页
- 文件大小：11MB
- 文件页数：282页
- 主题词：结构振动－文集－英文
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图书目录
Chapter 1 Introduction1
1.1 General Introduction1
1.2 One-dimensional Vibration1
1.3 Two-dimensional Vibration2
1.4 Three-dimensional Vibration3
Chapter 2 Chebyshev Polynomials6
2.1 Introduction6
2.2 Definition6
2.3 Basic Properties7
2.4 Some Advantages8
Chapter 3 Ritz Method13
3.1 Introduction13
3.2 Basic Formulation14
3.3 Construction of Solutions17
3.4 Construction of Boundary Characteristic Functions20
Chapter 4 3-D Vibration of Rectangular Plates29
4.1 Introduction29
4.2 Mathematical Formulation30
4.3 Convergence Study and Comparison36
4.4 Numerical Results40
4.5 Conclusions47
Chapter 5 3-D Vibration of Rectangular Plates On Pasternak Foundation48
5.1 Introduction48
5.2 Formulation49
5.3 Convergency and Comparison51
5.4 Numerical Results58
5.5 Conclusions63
Chapter 6 3-D Vibration of Circular and Annular Plates65
6.1 Introduction65
6.2 Theoretical Formulation66
6.3 Convergence and Comparison Study71
6.4 Numerical Results78
6.5 Conclusions84
Chapter 7 3-D Vibration of Circular Plates on Pasternak Foundation86
7.1 Introduction86
7.2 Formulation88
7.3 Convergence and Comparison Study91
7.4 Parametric Study94
7.5 Conclusions102
Chapter 8 3-D Vibration of Solid and Hollow Circular Cylinders104
8.1 Introduction104
8.2 Formulation105
8.3 Convergence and Comparison Studies107
8.4 Numerical Results113
8.5 Concluding Remarks119
Chapter 9 3-D Vibration of A Torus with Circular Cross-Section120
9.1 Introduction120
9.2 Theoretical Formulation122
9.3 Convergence Study129
9.4 Eigenfrequencies and Mode Shapes132
9.5 Conclusions138
Chapter 10 3-D Vibration of Isosceles Triangular Plates140
10.1 Introduction140
10.2 Theoretical Formulation142
10.3 Convergence and Comparison Studies146
10.4 Numerical Results150
10.5 Concluding Remarks157
Chapter 11 3-D Vibration of Prisms with Isosceles Triangular Cross-sections158
11.1 Introduction158
11.2 Formulation160
11.3 Convergence and Comparison Study162
11.4 Numerical Results166
11.5 Conclusion171
Chapter 12 3-D Vibration of Skew Thick Plates172
12.1 Introduction172
12.2 Theoretical Formulation173
12.3 Convergence and Comparison Studies177
12.4 Numerical Results188
12.5 Conclusions192
Chapter 13 3-D Vibration of Prisms with Skew Cross-section193
13.1 Introduction193
13.2 Mathematical Formulation195
13.3 Convergence and Results196
13.4 Conclusions202
Chapter 14 3-D Vibration of Generalized Super Elliptical Plates203
14.1 Introduction203
14.2 Formulation204
14.3 Convergence and Comparison Study206
14.4 Parametric Study212
14.5 Concluding Remark217
Chapter 15 3-D Vibration of Thick Circular Plates with Built-in Edges218
15.1 Introduction218
15.2 Theoretical Formulation220
15.3 Convergence and Comparison Studies226
15.4 Parametric Studies230
15.5 Conclusions239
Chapter 16 3-D Vibration of Rectangular Plates with Mixed Boundary Conditions240
16.1 Introduction240
16.2 Model242
16.3 Basic Formulae244
16.4 Boundary Characteristic Functions244
16.5 Convergence Study246
16.6 Comparison Study249
16.7 Numerical Results252
16.8 Conclusions256
References257