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Indexed by:期刊论文

Date of Publication:2016-03-20

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI

Volume:277

Page Number:111-126

ISSN No.:0096-3003

Key Words:Radial integration BEM; Free and forced vibration analyses; Newmark method; Elastodynamic

Abstract:In this paper, the radial integration boundary element method (RIBEM) is developed for free and forced vibration analyses of two- (2D) and three-dimensional (3D) isotropic solids and structures. Based on the elasticity theory, boundary-domain integral equations for elastodynamic problems are derived based on elastostatic fundamental solutions. Adopting the elastostatic fundamental solution in deriving the integral equations for elastodynamic problems will create inertial and damped domain integrals as well as the boundary ones. The radial integral method (RIM) is employed to transform the domain integrals into boundary integrals. Thus a boundary-only integral equation can be achieved. It is then discretized into a system of time dependent algebraic equations, which is solved by the standard Newmark time integration scheme. Numerical results for several examples are given to demonstrate the validity and accuracy of the present formulation. (C) 2015 Elsevier Inc. All rights reserved.