Study of an artificial boundary condition based on the damping-solvent extraction method

A new artificial boundary condition for time domain analysis of a structure-unlimited-foundation system was proposed. The boundary condition was based on the damping-solvent extraction method. The principle of the damping-solvent extraction method was described. An artificial boundary condition was then established by setting two spring-damper systems and one artificial damping limited region. A test example was developed to verify that the proposed boundary condition and model had high precision. Compared with the damping-solvent extraction method, this boundary condition is easier to be applied to finite element method (FEM)-based numerical calculations.

[1]  Semyon Tsynkov,et al.  High-Order Two-Way Artificial Boundary Conditions for Nonlinear Wave Propagation with Backscattering , 2000 .

[2]  Björn Engquist,et al.  Absorbing boundary conditions for wave-equation migration , 1980 .

[3]  Mark Randolph,et al.  Axisymmetric Time‐Domain Transmitting Boundaries , 1994 .

[4]  J. Lysmer,et al.  Finite Dynamic Model for Infinite Media , 1969 .

[5]  Ralph A. Stephen,et al.  Comment on “absorbing boundary conditions for acoustic and elastic wave equations,” by R. Clayton and B. Engquist , 1983 .

[6]  Du Yi-xin,et al.  Consistent viscous-spring artificial boundaries and viscous-spring boundary elements , 2006 .

[7]  Zhang Chuhan,et al.  Influence of Seismic Input Mechanisms and Radiation Damping on Arch Dam Response , 2009 .

[8]  Liu Jing-bo,et al.  THREE-DIMENSIONAL VISCO-ELASTIC ARTIFICIAL BOUNDARIES IN TIME DOMAIN FOR WAVE MOTION PROBLEMS , 2005 .

[9]  Gu Yin,et al.  3D CONSISTENT VISCOUS-SPRING ARTIFICIAL BOUNDARY AND VISCOUS-SPRING BOUNDARY ELEMENT , 2007 .

[10]  Z. Liao,et al.  Numerical instabilities of a local transmitting boundary , 1992 .

[11]  Semyon Tsynkov,et al.  Artificial boundary conditions for the numerical simulation of unsteady acoustic waves , 2003 .

[12]  Warwick D. Smith.  A nonreflecting plane boundary for wave propagation problems , 1974 .

[13]  Chongmin Song,et al.  The scaled boundary finite-element method—alias consistent infinitesimal finite-element cell method—for elastodynamics , 1997 .

[14]  Yu-Yong Jiao,et al.  Viscous boundary of DDA for modeling stress wave propagation in jointed rock , 2007 .

[15]  Robert L. Higdon,et al.  Absorbing boundary conditions for acoustic and elastic waves in stratified media , 1992 .

[16]  Chongbin Zhao,et al.  Non-reflecting artificial boundaries for modelling scalar wave propagation problems in two-dimensional half space , 2002 .