 Radial integration BEM for vibration analysis of two- and three-dimensional elasticity structuresAuthor-Name: Zheng, BaojingXiaowei Gao and Ch. Zhang Applied Mathematics and Computation, 2016, vol. 277, issue C, 111-126 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. Keywords: Radial integration BEM; Free and forced vibration analyses; Newmark method; Elastodynamic (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:277:y:2016:i:c:p:111-126 DOI: 10.1016/j.amc.2015.12.011 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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