Radial integration BEM for vibration analysis of two- and three-dimensional elasticity structures

被引：21
作者：
Zheng, Baojing [1 ,2 ]
Gao, Xiaowei [2 ]
Zhang, Ch [3 ]
机构：
[1] China Three Gorges Univ, Coll Hydraul & Environm Engn, Yichang 443002, Hubei, Peoples R China
[2] Dalian Univ Technol, Sch Aeronaut & Astronaut, Dalian 116024, Liaoning, Peoples R China
[3] Univ Siegen, Dept Civil Engn, D-57068 Nordrhein Westfalen, Germany
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 277卷
基金：
中国国家自然科学基金;
关键词：
Radial integration BEM; Free and forced vibration analyses; Newmark method; Elastodynamic; BOUNDARY-ELEMENT ANALYSIS; DUAL RECIPROCITY BEM; ELASTODYNAMIC PROBLEMS; NUMERICAL-SOLUTION; PLATES; FORMULATION;
D O I：
10.1016/j.amc.2015.12.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：111 / 126
页数：16
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