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3D viscous-spring artificial boundary in time domain

Liu Jingbo(刘晶波)1, Du Yixin(杜义欣)¹, Du Xiuli(杜修力)^2, Wang Zhenyu(王振宇)¹ and Wu Jun(伍 俊)¹

1. Department of Civil Engineering, Tsinghua University, Beijing 100084, China

2. Beijing Lab of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100022, China

Abstract: After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary (VSAB) in the time domain is developed in this paper. First, the 3D VSAB equations in the normal and tangential directions are derived based on the elastic wave motion theory. Secondly, a numerical simulation technique of wave motion equations along with the VSAB condition in the time domain is studied. Finally, numerical examples of some classical elastic wave motion problems are presented and the results are compared with the associated theoretical solutions, demonstrating that high precision and adequate stability can be achieved by using the proposed 3D VSAB. The proposed 3D VSAB can be conveniently incorporated in the general finite element program, which is commonly used to study dynamic soil-structure interaction problems.

Keywords: artificial boundary; viscous-spring; wave motion; time domain; numerical simulation; soil-structure interaction