多层地基的瞬态波动解  

TRANSIENT WAVE PROPAGATION IN THE MULTILAYERED FOUNDATIONS

作　　者：曾三平[1] 曹志远[1] 

机构地区：[1]同济大学

出　　处：《地震工程与工程振动》1991年第3期33-44,共12页Earthquake Engineering and Engineering Dynamics

基　　金：国家教委博士点基金

摘　　要：本文以核爆炸冲击波在非匀质地基中的传播问题为背景,着重探讨了空间多层地基波动问题的瞬态解。文中利用Laplace-Hankel-Laplace联合变换(简称L-H-L变换)及传播矩阵技术将耦联的双曲型弹性动力基本方程在象空间中解耦,导出了多层地基瞬态解的一般解析表达式,可直接用于核爆炸冲击波在多层地基中传播的分析计算。文末的计算实例验证了本文方法给出解答的正确性以及数值实施化的简易可靠性,为进一步研究非匀质地基中波的传播机理以及结构与非匀质地基的动力相互作用问题提供了一种有效的分析方法。This paper deals with the transient wave propagation in the multilayerecl elastic foundations, caused by axisymmetric dynamic loads acting on the surface. Closed-form solutions for both displacements and stresses on the surface and in the layered media are derived from the clastodynamic equations by a direct method, in which, the Laplace-Hankel-Laplace mixed transforms and transfer matrix method are employed. The presented solutions can be directly applied in determination or the transient dynamic responses of the multilayered foundations due to nuclear explosion loads. Three examples show that the solutions can be readily evaluated and the numerical results have considerably high precision. In addition, the presented procedure shows the potential application to the dynamic interaction of the structure and multilayered foundation systems.

关 键 词：多层地基 地基 瞬态波动 瞬态解 

分 类 号：TU470.3[建筑科学—结构工程]