結(jié)構(gòu)動力學(xué)基礎(chǔ)（英文版）

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