摘要
随机波在分层介质中的传播是地震工程中很重要的一类问题。将岩层考虑为分层介质。岩层是各向异性的,各层性质不同,岩层位于基岩上面,并且认为基岩比岩层刚很多,在基岩处给出随机激励。在频率和波数域中,将控制方程化为常微分方程求解。对常微分方程,应用两点边值问题的精细积分法进行求解。因此,近年来发展的应用于结构随机振动的虚拟激励法,可应用于当前分层岩层响应的计算,给出数值结果,并与一些经典结果进行了比较,证明了该方法的合理性。
The problem of random wave traveling along stratified media is important for earthquake engineering. The rock strata are considered as multi-layered and located above the base-rock, whose material property is assumed to be much stiffer than the above strata; and the power spectrum density of the random excitation is given at the base-rock. The rock strata can be arbitrarily anisotropic for each layer. The governing differential equations are derived in frequency and wave-number domain and only a set of ordinary differential equations should be solved. The precise integration algorithm is applied to solve the ordinary differential equations. Thereafter, the recently developed pseudo-excitation method for structural random vibration is transplanted to the solution of the layered rock responses. Numerical results are given and compared with some classical results. And that show the reasonability of the presented method.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2003年第5期677-681,共5页
Rock and Soil Mechanics
基金
国家自然科学基金项目(No. 10072015)
973项目 NKBRSF(No. 1999032805)资助。
关键词
地震波
大跨度桥梁
随机振动
空间效应
Anisotropy
Bridges
Computational methods
Frequency domain analysis
Ordinary differential equations
Rocks
Structural analysis
Vibrations (mechanical)
Wave transmission
