Boundary element method solution in the time domain for a moving time-dependent force

Abstract The problem of a moving time dependent concentrated force on the surface of an elastic halfspace is of interest in the analysis of traffic generated noise. The Boundary element method (BEM) is superior to the Finite element method (FEM) in solving such problems due to its inherent ability so satisfy the radiation conditions exactly. In this paper a model based on the BEM is formulated for the solution of the mentioned problem. A numerical solution is obtained for the 2D plane strain case, and comparison is made with the results obtained from a corresponding FEM solution with an impedance absorbing boundary condition.

[1]  K. Nielsen 2D Time Domain Boundary Element Direct AndIndirect Formulation Applied To Soil Dynamics , 1970 .

[2]  Jim Nelson,et al.  RECENT DEVELOPMENTS IN GROUND-BORNE NOISE AND VIBRATION CONTROL , 1996 .

[3]  Kazuhiro Kuno,et al.  Statistical analysis of field data of railway noise and vibration collected in an urban area , 1991 .

[4]  A. Trochides,et al.  Ground-Borne Vibrations in Buildings Near Subways , 1991 .

[5]  Ching S. Chang,et al.  Surface waves in a stratified half space with enhanced continuum properties. Part 1: Formulation of the boundary value problem , 1999 .

[6]  Poul Henning Kirkegaard,et al.  Finite Elements and Transmitting Boundary Conditions for Moving Loads , 1999 .

[7]  Christian Madshus,et al.  PREDICTION MODEL FOR LOW FREQUENCY VIBRATION FROM HIGH SPEED RAILWAYS ON SOFT GROUND , 1996 .

[8]  C Esveld,et al.  Surface waves in a stratified half space with enhanced continuum properties. Part 2: Analysis of the wave characteristics in regard to high-speed railway tracks , 1999 .

[9]  Victor V. Krylov,et al.  Generation of Ground Vibrations by Superfast Trains , 1995 .

[10]  Dimitri E. Beskos,et al.  Boundary Element Methods in Dynamic Analysis: Part II (1986-1996) , 1997 .

[11]  Satya N. Atluri,et al.  DYNAMIC RESPONSE OF FINITE SIZED ELASTIC RUNWAYS SUBJECTED TO MOVING LOADS: A COUPLED BEM/FEM APPROACH , 1995 .

[12]  L Fryba,et al.  VIBRATION OF SOLIDS AND STRUCTURES UNDER MOVING LOADS (3RD EDITION) , 1999 .

[13]  Dimitri E. Beskos,et al.  Boundary Element Methods in Mechanics , 1988 .