Localized triangular differential quadrature

被引:6
作者
Zhong, HZ [1 ]
Hua, YX [1 ]
He, YH [1 ]
机构
[1] Tsing Hua Univ, Dept Civil Engn, Beijing 100084, Peoples R China
关键词
differential quadrature method; triangular differential quadrature; localized triangular differential quadrature;
D O I
10.1002/num.10069
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A localized triangular differential quadrature method is introduced in this article. Not only is the existing limitation on the approximation order in the triangular differential quadrature eliminated but also the convergent rate is enhanced in the new method. As an example to validate the new method, elastic torsion of prismatic shaft with regular polygonal cross section is studied and excellent agreement with available theoretical and analytic solutions is reached. It is believed that the present work further widens the applicability of the triangular differential quadrature technique. (C) 2003 Wiley Periodicals, Inc.
引用
收藏
页码:682 / 692
页数:11
相关论文
共 16 条
[1]   DIFFERENTIAL QUADRATURE AND LONG-TERM INTEGRATION [J].
BELLMAN, R ;
CASTI, J .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 34 (02) :235-&
[2]   DIFFERENTIAL QUADRATURE - TECHNIQUE FOR RAPID SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS [J].
BELLMAN, R ;
CASTI, J ;
KASHEF, BG .
JOURNAL OF COMPUTATIONAL PHYSICS, 1972, 10 (01) :40-&
[3]  
Bert C.W., 1996, APPL MECH REV, V49, P1, DOI DOI 10.1115/1.3101882
[4]   The differential quadrature method for irregular domains and application to plate vibration [J].
Bert, CW ;
Malik, M .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1996, 38 (06) :589-606
[5]   Differential quadrature: A powerful new technique for analysis of composite structures [J].
Bert, CW ;
Malik, M .
COMPOSITE STRUCTURES, 1997, 39 (3-4) :179-189
[6]   The application of special matrix product to differential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates [J].
Chen, W ;
Shu, C ;
He, W ;
Zhong, T .
COMPUTERS & STRUCTURES, 2000, 74 (01) :65-76
[7]   A study on time schemes for DRBEM analysis of elastic impact wave [J].
Chen, W ;
Tanaka, M .
COMPUTATIONAL MECHANICS, 2002, 28 (3-4) :331-338
[8]  
Civan F., 1985, P OKLA ACAD SCI, V65, P73
[9]   THE TORSION OF PRISMATIC BARS OF REGULAR POLYGONAL CROSS SECTION [J].
NIEDENFUHR, FW ;
LEISSA, AW .
JOURNAL OF THE AEROSPACE SCIENCES, 1961, 28 (05) :424-426
[10]  
Timoshenko S. P., 1970, THEORY ELASTICITY