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An Energy Approach to Seismic Analysis and Design of Secondary Systems

G.Chen, T.T.Soong

NCEER-93-0014 | 8/6/1993 | 252 pages

About the Report:

TOC: The table of contents is provided.

Keywords: Input Energy, Vibration Modes, Decoupling, Secondary Systems, Power Flow, Modal Energy, Primary Secondary System Interaction, Statistical Energy Analysis, and Dynamic Response Analysis.

Abstract: In this report, statistical energy analysis is systematically introduced to simplify the analysis and design procedures of secondary systems. This investigation starts out with the identification of special problems and assumption verification associated with this effort. The relation between power flow transmitted from one system to another and energies stored in two systems coupled by a conservative element is naturally extended to non-conservatively coupled systems. The concept of dissipative and penetrating power flow is developed to characterize the dissipating and transmitting properties of the coupling element. The relationship developed in a generic system is then applied to a simple primary-secondary system to investigate the general behavior of power flow and energy quantities. Their equivalence to the conventional response variables such as relative displacement and absolute acceleration is demonstrated analytically as well as through numerical examples. The power flow and energy analyses are further extended to a class of complex primary-secondary systems. Finally, decoupling criterion for the dynamic response of secondary systems is systematically established.