弹性和粘弹性地基无限域动力模型

A Dynamic Model for Elastic and Visco-elastic Infinite Foundations

针对弹性和粘弹性无限地基的数值模拟问题,本文提出了一种新颖的地基无限域动力模型——映射动力无穷元与有限元耦合模型。文中首先利用一维半无限域中的波动问题,提出了广义弹簧、广义阻尼和广义质量的概念,并导出了弹性和粘弹性动力无穷元中波传播函数的一般形式,进而对映射动力无穷元的基本特性进行了研究。文中还给出了二维和三维映射动力无穷元的单元模型,并用算例验证了这一模型的计算精度。

For the numerical simulation of elastic and visco-elastic infinite foundation, a novel dynamic model for infinite foundation-the coupling model of finite and mapped dynamic infinite elements is presented in this paper. For the one dimensional wave problem, the conception of generalized spring, generalized dashpot and generalized mass is pointed out and the wave propagation functions for elastic and visco-elastic dynamic infinite elements are derived herein. Meanwhile, the fundamental characteristics of the mapped dynamic infinite elements are studied. At last, a numerical example is given to show the accuracy of this model.