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弹性参数和质量密度随深度平方变化的非均匀介质的轴对称Lamb问题
Axially Symmetric Lamb’s Problem for an Inhomogeneous Medium
【摘要】 本文讨论了弹性参数和质量密度随深度平方变化的非均匀介质的轴对称Lamb问题、首先考察了这种介质的瑞雷波频散曲线,发现三维介质和两维介质具有相同的频散曲线;其次考察了由表面突加点源所产生的扰动,得到了全场位移精确解.
【Abstract】 This paper dicusses axially symmetric Lamb’ s problem for an inhomogeneous medium whose elastic parameters and mass density vary as the square of the depth. We first investigate the Rayleigh wave dispersion curve for this kind of medium and find that the three—dimensional medium has the same curve as the two—dimenional medium. And then we explore the disturbance generated by a suddenly acted surface point load and obtain the exact solutions of the displacements in the elastic half—space and on the surface.
- 【文献出处】 湖南大学学报(自然科学版) ,Journal of Hunan University(Natural Sciences) , 编辑部邮箱 ,1987年01期
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