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Preface1

1．1 Outline of Ground Motion1

Chapter 1 Multi-Dimensional Seismic Ground Motions1

Introduction1

前言1

第一章 多维地震动1

1．1地震动概说1

1．2 Characteristics of Ground Motion5

1．2地震动特性5

1．2．1地震动幅值特性6

1．2．1 Amplitude Characteristics of Ground Motion6

1．2．2 Spectral Characteristics of Ground Motion8

1．2．2地震动频谱特性8

1．2．3 Duration Characteristics of Ground Motion10

1．2．3地震动持时特性10

1．3．1 Introduction12

1．3 Research Review on Rotational Component of Ground Motion12

1．3地震动转动分量的研究现状12

1．3．1引言12

1．3．2 Method for Elastic Wave Theory of Rctational Component13

1．3．2转动分量的弹性波动理论法13

1．3．3 Deferential Method for Rotational Component20

1．3．3转动分量的两点差法20

1．3．4 Strong-Motion Measurement of Rotational Compontent21

1．3．4转动分量的强震观测21

1．3．5小结22

1．4．1 Situation of Body Wave22

1．4 Time History of Seisimc Rotational Component22

1．3．5 Concluding Remarks22

1．4地震动转动分量的时程22

1．4．1体波情况22

1．4．2面波情况30

1．4．2 Situation of Surface Wave30

1．4．3地震动分量的坐标变换31

1．4．3 Coordinate Transform of Seismic Component31

1．5 Stochastic Model for Seismic Rotational Component32

1．5地震动转动分量的随机模型32

1．5．1转动功率谱的数学模型33

1．5．1 Mathematical Model for Rotational Power Spectra33

1．5．2工程应用的谱参数统计35

1．5．2 Spectral Parameters for Engineering Application35

参考文献37

References37

第二章 多维地震动作用下偏心结构弹性扭转振动40

2．1引言40

Chapter 2 Elastic-Torsional Vibration of Eccentric Structures to Multiple Earthquake Excitations40

2．1 Introduction40

2．2 Lateral-Torsioanl Coupled Vibration of Structures with Rigid Floor41

2．2．1 Single-Story Structure41

2．2．1单层结构体系41

2．2具有刚性楼盖结构的平扭耦联振动41

2．2．2 Multi-Story Structure49

2．2．2多层结构体系49

2．2．3 Mode-Shape and Modal Participation Efficient60

2．2．3振型和振型参与系数60

2．3弹性楼盖简单体型结构的平扭耦联振动62

2．3．1结构振动模型62

2．3 Lateral-Torsional Coupled Virbation of Simple Shape Structures with Elastic Floor62

2．3．1 Vibration Model for Structure62

2．3．2 Equation of Motion63

2．3．2振动方程63

2．3．3 Mode-Shape and Modal Participation Effcient65

2．3．3振型和振型参与系数65

2．4．1 Vibration Model for Strucutre66

2．4 Lateral-Torsional Coupled Vibration of Complicated Shape Structures with Elastic Floor66

2．4弹性楼盖复杂体型结构的平扭耦联振动66

2．4．1结构振动模型66

2．4．2振动方程68

2．4．2 Equation of Motion68

2．4．3振型和振型参与系数71

2．4．3 Mode-Shape and Modal Participation Efficient71

2．5．2逐步积分法72

2．5．1振型分解法72

2．5地震反应计算72

2．5 Calculatioin of Sesimic Response72

2．5．1 Modal Combination Approach72

2．5．2 Step-by-Step Integration Approach72

2．6偏心结构的数值计算78

2．6 Numerical Example78

References80

参考文献80

第三章 结构多维弹塑性地震反应81

3．1引言81

3．2．1 Plastic Mechanical Model81

3．2 Element Analysis of Structural Member81

3．1 Introduction81

Chapter 3 Elastic-Plastic Seismic Response of Structures to Multiple Earthquake Excitations81

3．2构件单元分析81

3．2．1塑性力学模型81

3．2．2 Spring Model Proposed at Column End89

3．2．2柱端假设弹簧模型89

3．3整体结构的动力分析91

3．3．1振动方程91

3．3．1 Equation of Motion91

3．3 Dynamic Analysis of Structures91

3．3．2 Process of General Computation92

3．3．3 Some Problems in Numerical Calculation92

3．3．2一般计算过程92

3．3．3数值计算中的若干问题处理92

3．3．4 Numerical Example94

3．3．4数值算例94

References95

参考文献95

第四章 结构多维随机地震反应97

Chapter 4 Random Seismic Response of Structures to Multiple Seismic Inputs97

4．2 General Knowledge on Random Vibration97

4．1引言97

4．2随机振动基础知识97

4．2．1随机过程97

4．1 Introduction97

4．2．1 Stochastic Process97

4．2．2随机过程的概率结构98

4．2．2 Probability Structure of Stochastic Process98

4．2．3随机过程的数字特征99

4．2．3 Statistical Feature of Stochastic Process99

4．2．4常用的数字特征运算规则106

4．2．4 Operation Rules for Common Statistical Feature of Stochastic Process106

4．2．5 Spectral Parameters and Their Physical Meanings108

4．2．5谱参数及其物理意义108

4．2．6几种重要的随机过程110

4．2．6 Several Important Stochastic Processes110

4．3地震动的随机模型115

4．3 Random Model for Seismic Ground Motion115

4．4．1多维随机振动的振型位移法121

4．4 Random Response of Structures to Multi-Dimensional Imputs121

4．4．1 Modal Displacement Method of Multiple Random Vibration121

4．4多维地震动作用下结构的随机反应121

4．4．2 Modal Acceleration Method of Multiple Random Vibration124

4．4．2多维随机振动的振型加速度法124

4．5 Spectral Matrix of Component Correlation of Ground Motion127

4．5地震动各分量间的谱矩阵127

4．6 Dynamic Reliability Analysis of Structures132

4．6结构动力可靠性分析132

参考文献133

References133

5．2 Continued Tall Buildings and Highrise Structures135

第五章 高层与高耸结构在水平与摇摆地震动作用下的随机反应135

5．1引言135

5．2可连续化的高层建筑与高耸结构135

5．2．1结构振动方程135

5．1 Introduction135

Chapter 5 Random Response of Tall Buildings and Highrise Structures to Horizontal and Rocking Ground Motions135

5．2．1 Equation of Motion135

5．2．2 Decomposition for Equation of motion136

5．2．2振动方程的解耦136

5．2．3结构均方反应138

5．2．3 Variance Response of Strucure138

5．2．4例子139

5．2．4 Example139

5．3．1纵向地震动作用情形140

5．3输电塔高耸结构140

5．3 Transmission Tower140

5．3．1 Situation under Action of Longitudinal Ground Motion140

5．3．2 Situation under Action of Lateral Ground Motion144

5．3．2侧向地震动作用情形144

References146

参考文献146

6．1问题的提出148

Chapter 6 Response Spectral Method for Earthquake Resistant Design of Structures to Multiple Seismic Ground Motion148

6．1 Introduction148

第六章 结构多维抗震设计的反应谱方法148

6．2 Seismic Response Spectrum and Design Spectrum149

6．2．1 Seismic Response Spectrum149

6．2地震反应谐和设计反应谱149

6．2．1地震反应谱149

6．2．2设计反应谱156

6．2．2 Design Spectrum156

6．3单分量输入下的振型分解反应谱法161

6．3．1忽略各振型间相关性的方法161

6．3 Response Spectral Approach for Single Component Input161

6．3．1 Combination Approach Without Correlation between Modes161

6．3．2考虑各振型相关性的方法162

6．3．2 Combination Approach with Correlation between Modes162

6．4多分量输入下的反应谱法168

6．4．1一般组合公式168

6．4 Response Spectral Approach for Multiple Component Inputs168

6．4．1 General Combination Formula168

6．4．2 Combination Fromula Considering Duble Horizontal and Torsional Inputs170

6．4．2仅考虑双向水平与扭转输入的公式170

6．4．3几种多维组合方法比较171

6．4．3 Comparison between Several Combinations Approaches for Multiple Inputs171

参考文献175

References175

Appendix 1178

Appendix 2178

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Appendix 3179

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