CAJ | 학술논문

针对非平稳激励下的结构振动问题，研究动力响应方差灵敏度的高效时域求解算法。首先推导确定性动力响应灵敏度的时域显式表达，继而结合方差灵敏度的一般计算公式，得到非平稳随机响应方差灵敏度的时域显式计算列式。该列式同样适用于平稳激励下结构瞬态响应方差灵敏度的求解。以框架结构和桁架结构分别受不同类型的非平稳激励为例，时域显示解法和其他方法的对比计算结果验证了时域显示解法的有效性。
침대비평은격려하적결구진동문제，연구동력향응방차령민도적고효시역구해산법。수선추도학정성동력향응령민도적시역현식표체，계이결합방차령민도적일반계산공식，득도비평은수궤향응방차령민도적시역현식계산렬식。해렬식동양괄용우평은격려하결구순태향응방차령민도적구해。이광가결구화항가결구분별수불동류형적비평은격려위례，시역현시해법화기타방법적대비계산결과험증료시역현시해법적유효성。
Aiming at the structural vibration problem under non‐stationary excitation ,time‐domain method of high efficiency is explored in the present study to determine the sensitivity of covariance of random response .Firstly ,a time‐domain formulation is derived for computing the sensitivity of deterministic response .Then ,according to a general expression of the sensitivity of covariance ,an explicit time-domain formulation is deducted to calculate the sensitivity of covariance of non‐stationary random response .This formulation is also suitable for the case of stationary excitation if sensitivity of covariance of the transient re ‐sponse is concerned .By taking a frame and a truss subjected to different types of non‐stationary excitations as examples ,com‐parisons of the numerical results obtained with different methods illustrate the effectiveness of the proposed method .