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Features * Presents comprehensive design principles of structural damping * Provides an integrated, systematic presentation of the dynamic response of structures * Examines cost-effective ways to limit seismic-induced structural damages * Illustrates limitations of the current design practice for large damping systems and how to improve them to handle enhanced damping * Discusses safety issues of structures with enhanced damping, based on the theoretical formulation and practical design considerations Summary This book describes important principles for dealing with the damping of structures to aid in the analysis and design of supplemental damping to mitigate seismic effects. It reviews basic issues of structural damping, including the maximum energy dissipation principle, the damping adaptivity of devices that can work with a large dynamic range of earthquake load, and the structural cross-effect that needs to be minimized in design practice. The text also examines limitations and the problem of damping and stiffness nonlinearity, which may not be approximated with sufficient accuracy using the simplified present-day approaches. VIBRATION SYSTEMS Free and Harmonic Vibration of SDOF Systems Model of Linear SDOF Vibration Systems Dynamic Magnification Energy Dissipation and Equivalent Damping Linear SDOF System with Arbitrary Excitations Periodic Excitations Transient Excitations Random Excitations Earthquake Responses of Linear SDOF Systems Linear MDOF Systems Undamped MDOF Systems Proportionally Damped MDOF Systems Modal Truncation and Participation Base Shear and Lateral Force Natural Frequency and Mode Shape Estimation Coefficient Matrix for Proportional Damping MDOF Systems with Large Damping State Equation and Conventional Treatment Damper Design for Non-Proportionally Damped Systems Overdamped Sub-systems Responses of Generally Damped Systems and the Design Spectra Modal Participations and Modal Criteria PRINCIPLES AND GUIDELIENS OF DAMPING CONTROL Principles in Damper Design Modeling of Damping Rectangular Law, Maximum Energy Dissipation per Device Damping Adaptability Design and Control Parameters Damping Force Related Issues Damper Installation System Nonlinearity and Damping Irregularity Nonlinear Systems Damping Irregularity of MDOF System The Role of Damping in Nonlinear Systems Practical Design Considerations Discussions on the Simplified Design MDOF Systems with Less Structural Irregularity Safety Considerations Numerical Damping Coefficient DESIGN OF SUPPLEMENTAL DAMPING Design for Linear Generally Damped MDOF Systems Damping Irregularity Complex Mode and Indicators Example of Unevenly Distributed Damping Generally Damped MDOF Systems Method of Generalized CQC Dealing with Cross and Directional Effect Bi-Linear Damping and Structures General Description of Bi-Linear Damping Basic Parameters of Bi-linear Damper and Corresponding Systems Response Estimation of SDOF Systems Response Estimation of MDOF Systems Design Examples Sub-Linear Structures General Criterion for Sub-linear Systems Cases Treated as Sub-linear Systems Static Analysis Dynamic Analysis Design Examples APPENDICES A References B Dampers Measurement and Testing

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