在水平与摇摆地震动联合作用下高层与高耸结构随机反应分析

RANDOM RESPONSE ANALYSIS OF TALL BUILDINGS AND HIGHRISE STRUCTURES UNDER COMBINED ACTION OF HORIZONTAL AND ROCKING GROUND MOTIONS

本文首先根据大量的由实际地震记录得到的摇摆功率谱曲线的统计分析,提出了实用,合理的摇摆功率谱的数学模型,给出了不同场地上的谱参数的统计值。然后,建立了在水平与摇摆地震动联合作用下高层与高耸结构的振动方程,给出了计算结构均方反应及结构可靠度的公式。最后,通过数值计算,得到了一些对实际工程有意义的结果。

Power Spectral density function is usually used for random response analysis or evaluation of reliability of engineering sLructures in the frequency domain. In this paper, practical and rational mathematical models of rocking power spectra are first established through the statistical analysis of a lot of rocking power spectral curves plotted from the earthquake records,and the statistical values of these spectral parameters in different kind of sites are presented as well.And then,the vibration equaLion of tall buildings and highrise structures due to the combined action of horizontal and rocking ground motions is derived, a set of formulas are given to calculate the mean-square response and dynamic reliability of structures. Finally,some conclusions with practical significance in engineering arc drawn through numerical calculations.