Starting from the step by step integral algorithm and considering the coupling between the motion of the boundarynodes and the internal nodes, the authors bring about a method which can give an approximate stability criterion of a local artificial boundary in numerical simulation of multi dimensional wave motion.

Study on method of earthquake input and artificial boundary conditions for seismic soil-structure interaction analysis;

Effect of vertical artificial boundary on seismic response of soil layer under traveling wave excitations;

In the mathematic modeling of the seismic response of a tunnel,the lateral calculation range and artificial boundary have great influence on the result of calculation.

A reasonable model is proposed of soil-underground structure interaction with viscous-elastic artificial boundary condition on both sides and with restrictions at the buttom.

The axissymmetric finite element of elastic system and artificial boundary conditions are applied to simulate the nearby vibration caused by pile driving.

Based on the 3D explicit FEM and viscous-spring artificial boundary condition, the topography and soil effects on ground motion of large engineering site with islands in earthquake were investigated.

Based on the method of lum-pedmass explicit finite element and local transmitting artificial boundary,pulse displacement is input to the foundation.