Preface Introduction Chapter 1 Multi-Dimensional Seismic Ground Motions 1.1 Outline of Ground Motion 1.2 Characteristics of Ground Motion 1.2.1 Amplitude Characteristics of Ground Motion 1.2.2 Spectral Characteristics of Ground Motion 1.2.3 Duration Characteristics of Ground Motion 1.3 Research Review on Rotational Component of Ground Motion 1.3.1 Introdction 1.3.2 Method for Elastic Wave Theory of Rotational Component 1.3.3 Deferential Method for Rotational Component 1.3.4 Strong-Motion Measurement of Rotational Compo-ntent 1.3.5 Concluding Remarks 1.4 Time History of Seismic Rotational Component 1.4.1 Situation of Body Wave 1.4.2 Situation of Surface Wave 1.4.3 Coordinate Transform of Seismic Component 1.5 Stochastic Model for Seismic Rotaional Component 1.5.1 Mathematical Model for Rotational Power Spectra 1.5.2 Spectral Parameters for Engineering Application References Chapter 2 Elastic-Torsional Vibration of Eccentric Structures to Multiple Earthquake Excitations 2.1 Introduction 2.2 Lateral-Torsional Coupled Vibration of Structures with Rigid Floor 2.2.1 Single-Story Structure 2.2.2 Multi-Story Structure 2.2.3 Mode-Shape and Modal Participation Efficient 2.3 Lateral-Torsional Coupled Virbation of Simple Shape Structures with Elastic Floor 2.3.1 Vibration Model for Structure 2.3.2 Equation of Motion 2.3.3 Mode-Shape and Modal Participation Effcient 2.4 Lateral-Torsional Coupled Vibration of Complicated Shape Structures with Elastic Floor 2.4.1 Vibration Model for Strucutre 2.4.2 Equation of Motion 2.4.3 Mode-Shape and Modal Participation Efficient 2.5 Calculation of Sesimic Response 2.5.1 Modal Combination Approach 2.5.2 Step-by-Step Integration Approach 2.6 Numerical Example References Chapter 3 Elastic-Plastic Seismic Response of Structures to Multiple Earthquake Excitations 3.1 Introduction 3.2 Element Analysis of Structural Member 3.2.1 Plastic Mechanical Model 3.2.2 Spring Model Proposed at Column End 3.3 Dynamic Analysis of Structures 3.3.1 Equation of Motion 3.3.2 Process of General Computation 3.3.3 Some Problems in Numerical Calculation 3.3.4 Numerical Example References Chapter 4 Random Seismic Response of Structures to Multiple Seismic Inputs 4.1 Introduction 4.2 General Knowledge on Random Vibration 4.2.1 Stochastic Process 4.2.2 Probability Structure of Stochastic Process 4.2.3 Statistical Feature of Stochastic Process 4.2.4 Operation Rules for Common Statistical Feature of Stochastic Process 4.2.5 Spectral Parameters and Their Physical Meanings 4.2.6 Several Important Stochastic Processes 4.3 Random Model for Seismic Ground Motion 4.4 Random Response of Structures to Multi-Dimensional Inputs 4.4.1 Modal Displacement Method of Multiple Random Vibration 4.4.2 Modal Acceleration Method of Multiple Random Vibration 4.5 Spectral Matrix of Component Correlation of Ground Motion 4.6 Dynamic Reliability Analysis of Structures References Chapter 5 Random Response of Tall Buildings and Highrise Structures to Horizontal and Rocking Ground Motions 5.1 Introduction 5.2 Continued Tall Buildings and Highrise Structures 5.2.1 Equation of Motion 5.2.2 Decomposition for Equation of motion 5.2.3 Variance Response of Strucure 5.2.4 Example 5.3 Transmission Tower 5.3.1 Situation under Action of Longitudinal Ground Motion 5.3.2 Situation under Action of Lateral Ground Motion References Chapter 6 Response Spectral Method for Earthquake Resistant Design of Structures to Multiple Seismic Ground Motion 6.1 Introduction 6.2 Seismic Response Spectrum and Design Spectrum 6.2.1 Seismic Response Spectrum 6.2.2 Design Spectrum 6.3 Response Spectral Approach for Single Component Input 6.3.1 Combination Approach Without Correlation between Modes 6.3.2 Combination Approach with Correlation between Modes 6.4 Response Spectral Approach for Multiple Component Inputs 6.4.1 General Combination Formula 6.4.2 Combination Fromula Considering Duble Horizontal and Torsional Inputs 6.4.3 Comparison between Several Combinations Approaches for Multiple Inputs References Appendix 1 Appendix 2 Appendix 3