A boundary knot method for harmonic elastic and viscoelastic problems using single-domain approach

被引：24

作者：

Canelas, Alfredo ^{[1
]}

Sensale, Berardi ^{[1
]}

机构：

[1] Univ Republ J Herrera & Reissig 565, Fac Ingn, Inst Estruct & Transporte, Montevideo 11300, Uruguay

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2010年 / 34卷 / 10期

关键词：

Boundary knot method; Viscoelasticity; Meshfree methods; Collocation technique; Trefftz functions; FREE-VIBRATION ANALYSIS; ARBITRARILY-SHAPED PLATES; HELMHOLTZ; EQUATIONS; MESHLESS;

D O I：

10.1016/j.enganabound.2010.05.010

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The boundary knot method is a promising meshfree, integration-free, boundary-type technique for the solution of partial differential equations. It looks for an approximation of the solution in the linear span of a set of specialized radial basis functions that satisfy the governing equation of the problem. The boundary conditions are taken into account through the collocation technique. The specialized radial basis function for harmonic elastic and viscoelastic problems is derived, and a boundary knot method for the solution of these problems is proposed. The completeness issue regarding the proposed set of radial basis functions is discussed, and a formal proof of incompleteness for the circular ring problem is presented. In order to address the numerical performance of the proposed method, some numerical examples considering simple and complex domains are solved. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：845 / 855

页数：11

共 36 条

[1] On the choice of source points in the method of fundamental solutions [J].

Alves, Carlos J. S. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (12) :1348-1361

[2]

[Anonymous], 1992, HDB IMPEDANCE FUNCTI

[3]

[Anonymous], 2003, RADIAL BASIS FUNCTIO

[4] Comments on "Free vibration analysis of arbitrarily shaped plates with clamped edges using wave-type function" [J].

Chen, JT ;

Chen, IL ;

Chen, KH ;

Lee, YT .

JOURNAL OF SOUND AND VIBRATION, 2003, 262 (02) :370-378

[5] Boundary knot method for Poisson equations [J].

Chen, W ;

Shen, LJ ;

Shen, ZJ ;

Yuan, GW .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2005, 29 (08) :756-760

[6] Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems [J].

Chen, W ;

Hon, YC .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (15) :1859-1875

[7] Symmetric boundary knot method [J].

Chen, W .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2002, 26 (06) :489-494

[8] A meshless, integration-free, and boundary-only RBF technique [J].

Chen, W ;

Tanaka, M .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (3-5) :379-391

[9]

CHEN W, 2001, P 14 NORD SEM COMP M, P117

[10] Investigation on the spurious eigenvalues of vibration plates by non-dimensional dynamic influence function method [J].

Chen, Wen ;

Shi, Jisong ;

Chen, Lin .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (06) :885-889

← 1 2 3 4 →