基于切比雪夫－李兹法的结构元三维振动分析

1 (p1): Chapter 1 Introduction
1 (p2): 1.1 General Introduction
1 (p3): 1.2 One-dimensional Vibration
2 (p4): 1.3 Two-dimensional Vibration
3 (p5): 1.4 Three-dimensional Vibration
6 (p6): Chapter 2 Chebyshev Polynomials
6 (p7): 2.1 Introduction
6 (p8): 2.2 Definition
7 (p9): 2.3 Basic Properties
8 (p10): 2.4 Some Advantages
13 (p11): Chapter 3 Ritz Method
13 (p12): 3.1 Introduction
14 (p13): 3.2 Basic Formulation
17 (p14): 3.3 Construction of Solutions
20 (p15): 3.4 Construction of Boundary Characteristic Functions
29 (p16): Chapter 4 3-D Vibration of Rectangular Plates
29 (p17): 4.1 Introduction
30 (p18): 4.2 Mathematical Formulation
36 (p19): 4.3 Convergence Study and Comparison
40 (p20): 4.4 Numerical Results
47 (p21): 4.5 Conclusions
48 (p22): Chapter 5 3-D Vibration of Rectangular Plates On Pasternak Foundation
48 (p23): 5.1 Introduction
49 (p24): 5.2 Formulation
51 (p25): 5.3 Convergency and Comparison
58 (p26): 5.4 Numerical Results
63 (p27): 5.5 Conclusions
65 (p28): Chapter 6 3-D Vibration of Circular and Annular Plates
65 (p29): 6.1 Introduction
66 (p30): 6.2 Theoretical Formulation
71 (p31): 6.3 Convergence and Comparison Study
78 (p32): 6.4 Numerical Results
84 (p33): 6.5 Conclusions
86 (p34): Chapter 7 3-D Vibration of Circular Plates on Pasternak Foundation
86 (p35): 7.1 Introduction
88 (p36): 7.2 Formulation
91 (p37): 7.3 Convergence and Comparison Study
94 (p38): 7.4 Parametric Study
102 (p39): 7.5 Conclusions
104 (p40): Chapter 8 3-D Vibration of Solid and Hollow Circular Cylinders
104 (p41): 8.1 Introduction
105 (p42): 8.2 Formulation
107 (p43): 8.3 Convergence and Comparison Studies
113 (p44): 8.4 Numerical Results
119 (p45): 8.5 Concluding Remarks
120 (p46): Chapter 9 3-D Vibration of A Torus with Circular Cross-Section
120 (p47): 9.1 Introduction
122 (p48): 9.2 Theoretical Formulation
129 (p49): 9.3 Convergence Study
132 (p50): 9.4 Eigenfrequencies and Mode Shapes
138 (p51): 9.5 Conclusions
140 (p52): Chapter 10 3-D Vibration of Isosceles…