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《Journal of Vibration and Shock》 2007-08
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IMPROVED RITZ METHOD FOR SEISMIC RESPONSE ANALYSIS OF TALL BUILDING WITH DAMPERS

WU Xue-shu XIONG Xue-yu HUANG Ding-ye(Department of Building Engineering, Tongji University, Shanghai 200092, China)  
The improved Ritz method is introduced to analyze seismic response of tall building with passive energy dissipation devices, in which both load dependent Ritz vectors and frequency dependent Ritz vectors are put to use. The former vectors are generated by Lanczos algorithm, while the generation process of the later vectors is after eigenvalue shift according to the square of the predominant excitation frequency, though they are still formed by Lanczos algorithm. The cut-off criteria for Ritz vectors are also introduced. Then the Ritz vectors are employed to transform the dynamic equation from geometric coordinates to generalized Ritz coordinates. Since the damping of tall building with damper is non-proportional, dynamical equation transformed is in the coupling form. So pseudo-force method is employed to solve the coupled equation. Numerical example verifies the effectiveness of the proposed method for seismic analysis of tall building with damper.
【CateGory Index】: TU973.2
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