考虑随机效应的人行激励反应谱分析

人行荷载受到步频、步长、行人自重、各阶谐分量动载系数和相位等参数随机性影响而具有显著的随机性,这导致其荷载反应谱的随机性.本文给出了考虑到上述随机因素的反应谱,并且引入以均匀试验为基础的反应谱计算方法解决计算工作量的问题.按照均匀试验构造代表性人行荷载时程的随机样本,在各个跨度、阻尼比的梁式结构上进行时程分析,获得反应谱曲线,在此基础上运用响应面和可靠度分析得到了具有指定保证率的峰值加速度谱,并进行了频率、阻尼比和跨度等因素的敏感性分析,给出了最大加速度谱的一般计算式.

Analysis of Response Spectrum for Random Pedestrian Loads

Pedestrian loads are affected by such uncertain parameters as walking step frequency, step length, dynamic load factors and phases of harmonic components, which lead to the uncertainties of structural response. A new method for calculation random response spectrum based on uniform design is introduced to reduce calculation work. A few representative samples of loads time history are simulated using uniform design, and then response spectrum curves are obtained by dynamic time-history analysis on beam structures with various spans and damping ratios. The maximum acceleration response spectrums which have certain probability fractile are obtained by reliability analysis based on response surface. Ultimately the general forms of maximum acceleration response spectrum are deduced from the analyses of sensitivities for common damping ratio and span.