1 Fundamental Equations of Laminated Beams，Plates and Shells.

1.1 Three-Dimensional Elasticity Theory in Curvilinear Coordinates

1.2 Fundamental Equations of Thin Laminated Shells

1.2.1 Kinematic Relations

1.2.2 Stress-Strain Relations and Stress Resultants

1.2.3 Energy Functions

1.2.4 Governing Equations and Boundary Conditions

1.3 Fundamental Equations of Thick Laminated Shells

1.3.1 Kinematic Relations

1.3.2 Stress-Strain Relations and Stress Resultants

1.3.3 Energy Functions

1.3.4 Governing Equations and Boundary Conditions

1.4 Lamé Parameters for Plates and Shells.

2 Modified Fourier Series and Rayleigh-Ritz Method

2.1 Modified Fourier Series

2.1.1 Traditional Fourier Series Solutions.

2.1.2 One-Dimensional Modified Fourier Series Solutions

2.1.3 Two-Dimensional Modified Fourier Series Solutions

2.2 Strong Form Solution Procedure

2.3 Rayleigh-Ritz Method (Weak Form Solution Procedure)

3 Straight and Curved Beams

3.1 Fundamental Equations of Thin Laminated Beams

3.1.1 Kinematic Relations

3.1.2 Stress-Strain Relations and Stress Resultants

3.1.3 Energy Functions

3.1.4 Governing Equations and Boundary Conditions

3.2 Fundamental Equations of Thick Laminated Beams.

3.2.1 Kinematic Relations

3.2.2 Stress-Strain Relations and Stress Resultants

3.2.3 Energy Functions

3.2.4 Governing Equations and Boundary Conditions

3.3 Solution Procedures

3.3.1 Strong Form Solution Procedure

3.3.2 Weak Form Solution Procedure (Rayleigh-Ritz Procedure)

3.4 Laminated Beams with General Boundary Conditions

3.4.1 Convergence Studies and Result Verification

3.4.2 Effects of Shear Deformation and Rotary Inertia

3.4.3 Effects of the Deepness Term (1 z/R).

3.4.4 Isotropic and Laminated Beams with General Boundary Conditions.

4 Plates

4.1 Fundamental Equations of Thin Laminated Rectangular Plates.

4.1.1 Kinematic Relations

4.1.2 Stress-Strain Relations and Stress Resultants

4.1.3 Energy Functions

4.1.4 Governing Equations and Boundary Conditions

4.2 Fundamental Equations of Thick Laminated Rectangular Plates.

4.2.1 Kinematic Relations

4.2.2 Stress-Strain Relations and Stress Resultants

4.2.3 Energy Functions

4.2.4 Governing Equations and Boundary Conditions

4.3 Vibration of Laminated Rectangular Plates

4.3.1 Convergence Studies and Result Verification

4.3.2 Laminated Rectangular Plates with Arbitrary Classical Boundary Conditions

4.3.3 Laminated Rectangular Plates with Elastic Boundary Conditions.

4.3.4 Laminated Rectangular Plates with Internal Line Supports.

4.4 Fundamental Equations of Laminated Sectorial， Annular and Circular Plates

4.4.1 Fundamental Equations of Thin Laminated Sectorial， Annular and Circular Plates

4.4.2 Fundamental Equations of Thick Laminated Sectorial， Annular and Circular Plates

4.5 Vibration of Laminated Sectorial， Annular and Circular Plates

4.5.1 Vibration of Laminated Annular and Circular Plates

4.5.2 Vibration of Laminated Sectorial Plates

5 Cylindrical Shells

5.1 Fundamental Equations of Thin Laminated Cylindrical Shells

5.1.1 Kinematic Relations

5.1.2 Stress-Strain Relations and Stress Resultants

5.1.3 Energy Functions

5.1.4 Governing Equations and Boundary Conditions

5.2 Fundamental Equations of Thick Laminated Cylindrical Shells

5.2.1 Kinematic Relations

5.2.2 Stress-Strain Relations and Stress Resultants

5.2.3 Energy Functions

5.2.4 Governing Equations and Boundary Conditions

5.3 Vibration of Laminated Closed Cylindrical Shells

5.3.1 Convergence Studies and Result Verification

5.3.2 Effects of Shear Deformation and Rotary Inertia

5.3.3 Laminated Closed Cylindrical Shells with General End Conditions

5.3.4 Laminated Closed Cylindrical Shells with Intermediate Ring Supports

5.4 Vibration of Laminated Open Cylindrical Shells

5.4.1 Convergence Studies and Result Verification

5.4.2 Laminated Open Cylindrical Shells with General End Conditions

6 Conical Shells.

6.1 Fundamental Equations of Thin Laminated Conical Shells

6.1.1 Kinematic Relations

6.1.2 Stress-Strain Relations and Stress Resultants

6.1.3 Energy Functions

6.1.4 Governing Equations and Boundary Conditions

6.2 Fundamental Equations of Thick Laminated Conical Shells

6.2.1 Kinematic Relations

6.2.2 Stress-Strain Relations and Stress Resultants

6.2.3 Energy Functions

6.2.4 Governing Equations and Boundary Conditions

6.3 Vibration of Laminated Closed Conical Shells

6.3.1 Convergence Studies and Result Verification

6.3.2 Laminated Closed Conical Shells with General Boundary Conditions.

6.4 Vibration of Laminated Open Conical Shells

6.4.1 Convergence Studies and Result Verification

6.4.2 Laminated Open Conical Shells with General Boundary Conditions.

7 Spherical Shells

7.1 Fundamental Equations of Thin Laminated

……

8 Shallow Shells

References and Further Reading2100433B

书名：结构振动：任意边界条件层合梁、板、壳结构的准确解法(英文版)

原价：150.00元

作者：Gipupmg Jin·Tiangui Ye Zhu Su

出版社：科学出版社

出版日期：2015-01-01

ISBN：9787030435941

字数：400000

页码：312

版次：1

装帧：精装

开本：16开

商品重量：0.4kg

《结构工程前沿丛书：静力梁函数在结构振动分析中的应用（英文版）》针对经典的欧拉梁理论和克西霍夫理论，以及铁木辛柯梁理论和米德林中厚板理论，分别建立个了各自的静力梁函数。取这些静力梁函数作为试函数，利用李兹法导出特征方程。研究结果表明，静力梁函数法不但能够给出高精度的固有频率，而且能够给出高精度的动力响应，特别是能够很好地模拟内部线支引起的剪力跳跃。《结构工程前沿丛书：静力梁函数在结构振动分析中的应用（英文版）》共21个章节，从变厚度欧拉梁的动力学特性计算直到储液罐的流-固耦合振动分析结束。内容构成一个完整的应用体系。《结构工程前沿丛书：静力梁函数在结构振动分析中的应用（英文版）》的研究方法，系作者首次独立提出，其中的绝大部分内容，均已被作者发表于国际著名的核心期刊。

系统建立复合材料层合梁板壳各种变分原理，提出新的变分差分方法和新的高效迭代法，以适用于大条件数时的层间强度、大位移大转动几何非线性和动力分析；建立复合材料层合梁板壳哈密顿体系的变分差分方程，提出相应的辛算法；并且研制相应的微机软件。本项研究丰富了复合材料层合梁板壳静动力分析的方法和内容，具有重要的理论和实际意义。 2100433B