| 三维粘弹性分层介质中平稳随机波的传播 |
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| 引用本文： | 高强,林家浩. 三维粘弹性分层介质中平稳随机波的传播[J]. 应用数学和力学, 2005, 26(6): 723-733 |
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| 作者姓名： | 高强 林家浩 |
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| 作者单位： | 大连理工大学 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： | 国家自然科学基金资助项目(10472023);教育部高等学校博士学科点专项科研基金资助项目(20040141020) |
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| 摘 要： | 研究平稳随机波在粘弹性分层横观各向同性介质中的传播问题．将岩层考虑为分层介质，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推广于当前分层岩层响应的计算．
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| 关 键 词： | 分层介质 精细积分法 虚拟激励法 波传播 随机振动 |
| 文章编号： | 1000-0887(2005)06-0723-11 |
| 收稿时间： | 2004-01-08 |
| 修稿时间： | 2004-01-08 |
Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid |
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| GAO Qiang,LIN Jia-hao. Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 723-733 |
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| Authors: | GAO Qiang LIN Jia-hao |
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| Affiliation: | State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, P. R. China |
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| Abstract: | Propagation of stationary random waves in viscoelastic stratified transverse isotropic materials is investigated. The solid was considered multi_layered and located above the bedrock, which was assumed to be much stiffer than the soil, and the power spectrum density of the stationary random excitation was given at the bedrock. The governing differential equations are derived in frequency and wave_number domains and only a set of ordinary differential equations (ODEs) must be solved. The precise integration algorithm of two_point boundary value problem was applied to solve the ODEs. Thereafter, the recently developed pseudo_excitation method for structural random vibration is extended to the solution of the stratified solid responses. |
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| Keywords: | layered material precise integration pseudo-excitation method wave propagation random vibration |
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