结构动力学基础（英文版）

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作　者：	周智辉
出版社：	中南大学出版社有限责任公司
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标　签：	暂缺

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ISBN：	9787548737810	出版时间：	2021-05-01	包装：	平装-胶订
开本：	16开	页数：	206	字数：

内容简介

　　内容提要：《结构动力学基础》介绍了结构振动的基本概念与基本原理。本书共分为七章，具体内容为：结构动力学概述；系统运动方程的建立；单自由度系统动力响应分析；多自由度系统动力响应分析；连续系统（直梁）动力响应分析；固有频率与振型的近似分析方法；逐步积分法。每一章均包含了一些拓展型的实例与思考题，便于读者加深对基本理论的理解。主要特点：本书包含曾庆元院士提出的两项原创性成果，即弹性系统动力学总势能不变值原理与形成系统矩阵的“对号入座”法则。在上述原理与方法的基础上，本书作者提出了基于Matlab语言形成系统矩阵的程序实现方法，方便读者编写动力有限元计算程序。本书内容简练，涵盖结构动力学的主要知识点，便于读者掌握结构动力学的基本概念与分析方法。本书所提供的结构动力学基本知识与一些原创性成果，可为有关的学生、研究人员以及工程师提供参考。

作者简介

暂缺《结构动力学基础（英文版）》作者简介

图书目录

Contents
Chapter 1 Overview of Structural Dynamics   1
1.1 Objective of structural dynamic analysis   1
1.2 Characteristics of structural dynamics   2
1.3 Classification of vibrations   3
1.4 Vibration problems in engineering   5
1.5 Procedures of dynamic response analysis of structures 6
Problems 9
References 9
Chapter 2 Formulation of Equations of Motion of Systems 10
2.1 System constraints 10
2.2 Representation of system configuration 13
2.3 Real displacements， possible displacements and virtual displacements 16
2.4 Generalized force 19
2.5 Conservative force and potential energy 23
2.6 Direct equilibrium method 25
2.7 Principle of virtual displacements 26
2.8 Lagranges equation 29
2.9 Hamiltons principle 33
2.10 Principle of total potential energy with a stationary value in elastic system dynamics
37
2.11 The ‘set-in-right-position’ rule for assembling system matrices and method of
computer implementation in Matlab 44
Problems 57
References 59
Chapter 3 Analysis of Dynamic Response of SDOF Systems 60
3.1 Analysis of free vibrations 60
3.2 Response of SDOF systems to harmonic loads 71
3.3 Vibration caused by base motion and vibration isolation81
3.4 Introduction to damping theory87
3.5 Evaluation of viscousdamping ratio 91
3.6 Response of SDOF systems to periodic loads 97
3.7 Response of SDOF systems to impulsive loads 99
3.8 Time domain analysis of dynamic response to arbitrary dynamic loads 111
3.9 Frequency domain analysis of dynamic response to arbitrary dynamic loads 113
Problems 118
References 120
Chapter 4 Analysis of Dynamic Response of MDOF Systems： Mode Superposition Method 121
4.1 Analysis of dynamic properties of MDOF systems 121
4.2 Coupling characteristics and uncoupling procedure of equations of MDOF systems
127
4.3 Analysis of free vibration response of undamped systems 132
4.4 Response of undamped systems to arbitrary dynamic loads 135
4.5 Response of damped systems to arbitrary dynamic loads 137
Problems 143
References 144
Chapter 5 Analysis of Dynamic Response of Continuous Systems： Straight beam 145
5.1 Differential equations of motion of undamped straight beam 146
5.2 Modal expansion of displacement and orthogonality of mode shapes of straight beam
147
5.3 Free vibration analysis of undamped straight beam 151
5.4 Forced vibration analysis of undamped straight beam   155
5.5 Forced vibration analysis of damped straight beam 158
Problems 161
References 162
Chapter 6 Approximate Evaluation of Natural Frequencies and Mode Shapes 163
6.1 Rayleigh energy method 163
6.2 Rayleigh-Ritz method 168
6.3 Matrix iteration method 172
6.4 Subspace iteration method 177
6.5 Reduction of degrees of freedom in dynamic analysis 183
Problems 187
References 188
Chapter 7 Step-by-step Integration Method 189
7.1 Basic idea of step-by-step integration method 189
7.2 Linear acceleration method191
7.3 Wilson-θ method 195
7.4 Newmark method 197
7.5 Stability and accuracy of stepbystep integration method 199
Problems 206
References 206