| 分层岩层介质中平稳随机地震波传播的精细解法 |
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| 引用本文： | 林家浩,高强,钟万勰.分层岩层介质中平稳随机地震波传播的精细解法[J].岩土力学,2003,24(5):677-681. |
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| 作者姓名： | 林家浩 高强 钟万勰 |
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| 作者单位： | 大连理工大学工程力学系 工业装备结构分析国家重点实验室，辽宁 大连 116023 |
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| 基金项目： | 国家自然科学基金项目(No. 10072015)，973项目 NKBRSF(No. 1999032805)资助。 |
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| 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。
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| 关 键 词： | 地震波 大跨度桥梁 随机振动 空间效应。 |
| 文章编号： | 1000-7598-(2003)05-06770-5 |
| 收稿时间： | 2002-06-24 |
| 修稿时间： | 2002年6月24日 |
Precise computation for random earthquake wave propagation in stratified materials |
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| LIN Jia-hao,GAO Qiang,ZHONG Wan-xie.Precise computation for random earthquake wave propagation in stratified materials[J].Rock and Soil Mechanics,2003,24(5):677-681. |
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| Authors: | LIN Jia-hao GAO Qiang ZHONG Wan-xie |
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| Institution: | LIN Jia-hao, GAO Qiang, ZHONG Wan-xie |
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| Abstract: | 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. |
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| Keywords: | earthgquake wave large-span bridge random vibration spatial effect |
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