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圆弧形凹陷地形表面覆盖层对入射平面P波的影响
引用本文:梁建文, 严林隽, Vincent W Lee. 圆弧形凹陷地形表面覆盖层对入射平面P波的影响[J]. 固体力学学报, 2002, 23(4): 397-411. doi: 10.3969/j.issn.0254-7805.2002.04.004
作者姓名:梁建文  严林隽  Vincent W Lee
作者单位:天津大学土木工程系,天津,300072;Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089
基金项目:国家自然科学基金 (5 98780 32 )资助
摘    要:利用Fourier-Bessel级数展开法给出了表面具有覆盖层的圆弧形凹陷地形对入射平面P波散射问题的一个解析解,并利用该解分析了不同形状凹陷地形表面覆盖层刚度和厚度对入射P波的影响. 结果表明,凹陷地形表面覆盖层的存在,即使厚度很薄,对入射P波的散射也具有很大影响,覆盖层刚度和厚度的变化可显著改变凹陷地形场地的动力特性.

关 键 词:圆弧形凹陷地形  覆盖层  平面P波  散射  解析解
修稿时间:2001-01-10

SCATTERING OF INCIDENT PLANE P WAVES BY A CIRCULAR-ARC CANYON WITH A COVERING LAYER
SCATTERING OF INCIDENT PLANE P WAVES BY A CIRCULAR-ARC CANYON WITH A COVERING LAYER[J]. Chinese Journal of Solid Mechanics, 2002, 23(4): 397-411. doi: 10.3969/j.issn.0254-7805.2002.04.004
Authors:Vincent W Lee
Abstract:An analytical solution for scattering of incident plane P waves by a circular-arc canyon with a covering layer was derived by Fourier-Bessel series expansion technique, and the solution was utilized to analyze the effects of stiffness and thickness of the covering layer with various depth-to-width ratios on the scattering of incident plane P waves. It is shown that existence of a covering layer on a canyon, even if it is very thin, has great effect on incident plane P waves, and variation of stiffness and thickness of the covering layer can remarkably change the dynamic behavior of the canyon.
Keywords:circular-arc canyons   covering layer   plane P waves   scattering   analytical solution
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