結(jié)構(gòu)動(dòng)力學(xué)基礎(chǔ)（英文版）

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作　者：	周智輝
出版社：	中南大學(xué)出版社有限責(zé)任公司
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標(biāo)　簽：	暫缺

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ISBN：	9787548737810	出版時(shí)間：	2021-05-01	包裝：	平裝-膠訂
開(kāi)本：	16開(kāi)	頁(yè)數(shù)：	206	字?jǐn)?shù)：

內(nèi)容簡(jiǎn)介

　　內(nèi)容提要：《結(jié)構(gòu)動(dòng)力學(xué)基礎(chǔ)》介紹了結(jié)構(gòu)振動(dòng)的基本概念與基本原理。本書共分為七章，具體內(nèi)容為：結(jié)構(gòu)動(dòng)力學(xué)概述；系統(tǒng)運(yùn)動(dòng)方程的建立；單自由度系統(tǒng)動(dòng)力響應(yīng)分析；多自由度系統(tǒng)動(dòng)力響應(yīng)分析；連續(xù)系統(tǒng)（直梁）動(dòng)力響應(yīng)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(shí)例與思考題，便于讀者加深對(duì)基本理論的理解。主要特點(diǎn)：本書包含曾慶元院士提出的兩項(xiàng)原創(chuàng)性成果，即彈性系統(tǒng)動(dòng)力學(xué)總勢(shì)能不變值原理與形成系統(tǒng)矩陣的“對(duì)號(hào)入座”法則。在上述原理與方法的基礎(chǔ)上，本書作者提出了基于Matlab語(yǔ)言形成系統(tǒng)矩陣的程序?qū)崿F(xiàn)方法，方便讀者編寫動(dòng)力有限元計(jì)算程序。本書內(nèi)容簡(jiǎn)練，涵蓋結(jié)構(gòu)動(dòng)力學(xué)的主要知識(shí)點(diǎn)，便于讀者掌握結(jié)構(gòu)動(dòng)力學(xué)的基本概念與分析方法。本書所提供的結(jié)構(gòu)動(dòng)力學(xué)基本知識(shí)與一些原創(chuàng)性成果，可為有關(guān)的學(xué)生、研究人員以及工程師提供參考。

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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