結構動力學基礎（英文版）

定　價：￥56.00

作　者：	周智輝
出版社：	中南大學出版社有限責任公司
叢編項：
標　簽：	暫缺

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ISBN：	9787548737810	出版時間：	2021-05-01	包裝：	平裝-膠訂
開本：	16開	頁數：	206	字數：

內容簡介

　　內容提要：《結構動力學基礎》介紹了結構振動的基本概念與基本原理。本書共分為七章，具體內容為：結構動力學概述；系統(tǒng)運動方程的建立；單自由度系統(tǒng)動力響應分析；多自由度系統(tǒng)動力響應分析；連續(xù)系統(tǒng)（直梁）動力響應分析；固有頻率與振型的近似分析方法；逐步積分法。每一章均包含了一些拓展型的實例與思考題，便于讀者加深對基本理論的理解。主要特點：本書包含曾慶元院士提出的兩項原創(chuàng)性成果，即彈性系統(tǒng)動力學總勢能不變值原理與形成系統(tǒng)矩陣的“對號入座”法則。在上述原理與方法的基礎上，本書作者提出了基于Matlab語言形成系統(tǒng)矩陣的程序實現方法，方便讀者編寫動力有限元計算程序。本書內容簡練，涵蓋結構動力學的主要知識點，便于讀者掌握結構動力學的基本概念與分析方法。本書所提供的結構動力學基本知識與一些原創(chuàng)性成果，可為有關的學生、研究人員以及工程師提供參考。

作者簡介

暫缺《結構動力學基礎（英文版）》作者簡介

圖書目錄

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