空间网格结构多维多点随机地震响应分析的高效算法

将林家浩教授提出的“虚拟激励法”进一步推广应用于空间网格结构多维多点非平稳随机地震响应分析,推导了多维虚拟激励随机振动分析方法的理论公式,给出了峰值响应估计方法,并讨论了多维地震动的随机模型及参数选取,通过编制的专用计算机程序分析了网壳结构的随机地震响应。本方法自动包含了参振振型间及各输人地震分量间的相关项,计算精确、快速,非常适合分析频率密集型空间网格结构的随机地震响应,是一种高效的随机振动分析算法。

An efficient algorithm for multi-dimensional and multi-support random seismic analysis of spatial reticulated structures

In this paper, the "pseudo excitation method" proposed by J.H. Lin is further improved and developed for multi-dimensional and multi-support nonstationary random seismic analysis of spatial reticulated structures. Theoretical formulations for multi-dimensional pseudo excitation algorithm are derived. A method of evaluating peak responses is recommended. Seismic random models and parameters under multiple seismic ground motions are discussed. Random seismic response analyses for a lattice shell structure are performed using developed computer program. The results obtained indicate that the algorithm presented in this paper can provide fast and accurate solution of random seismic responses for the lattice shell structure, in which all cross-correlation items, either between earthquake inputs or between participant modes, are involved naturally. It is particularly suitable for random vibration analysis of spatial reticulated structures that are usually characterized with closely spaced natural frequencies and coupled vibration modes.