与土体部分脱离的埋置半圆形基础与SH波的动力相互作用

利用波函数展开法结合奇异积分方程技术,研究了部分脱离的埋置半圆形基础与土体的出平面动力相互作用问题。把脱离区看做界面裂纹,将问题归结为一组奇异积分方程。通过数值计算获得了土体和基础中的位移场。利用动应力强度因子描述了粘接区的切应力强度,其结果显示:有缝隙界面基础与土体的动力相互作用呈现明显的低频共振特性。奇异积分方程技术的引入,使得笔者所用方法与已有方法相比更具一般性。研究结果对埋置结构的安全评估与寿命预测具有重要的理论与实际意义。

Dynamic Interaction between SH Wave and Embedded Semi-cylindrical Foundation Partially Unbounded from Soil

The dynamic interaction of an embedded semi-cylindrical foundation with soil when the foundation is partially unbounded from soil is considered by using the wave function expansion method and singular integral equation technique. The unbound regions are modeled as interface cracks, and a set of singular integral equations is derived. Solving these integral equations numerically, the displacement fields of soil and foundation could be obtained. The concept of dynamic stress intensity factor is used to describe the strength of dynamic shear stress on the bonding regions. The results show a phenomenon of low frequency resonance of such a structure. The method is more generalized than others as a result of using the singular integral equation technique. It is of both theoretical and practical importance for evaluation and prediction of structural safety of embedded structures.