Analytical derivations for one-dimensional eigenproblems using dual boundary element method and multiple reciprocity method

被引：54

作者：

Chen, JT ^{[1
]}

Wong, FC ^{[1
]}

机构：

[1] Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung, Taiwan

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1997年 / 20卷 / 01期

关键词：

MRM; DBEM; eigenproblems;

D O I：

10.1016/S0955-7997(97)00032-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, MRM (multiple reciprocity method) and DBEM (dual boundary element method) are combined to solve one-dimensional eigenproblems. It is found that the hypersingular equation (LM method) for MRM provides an additional constraint to determine the eigenfunctions in case of failure using the singular equation (UT) method only. Also, augmented eigenvalues can be deleted by employing dual equations. The hypersingular equation of DBEM (LM equation) plays an important role in determining the eigenvalues and eigenmodes. Four numerical examples are given to verify the validity of the present formulation. (C) 1997 Elsevier Science Limited.

引用

页码：25 / 33

页数：9

共 13 条

[1]

[Anonymous], 1994, MULTIPLE RECIPROCITY

[2]

Chen JL, 1994, THESIS NATL TAIWAN U

[3] DUAL BOUNDARY INTEGRAL-EQUATIONS AT A CORNER USING CONTOUR APPROACH AROUND SINGULARITY [J].

CHEN, JT ;

HONG, HK .

ADVANCES IN ENGINEERING SOFTWARE, 1994, 21 (03) :169-178

[4] Dual boundary integral equations for exterior problems [J].

Chen, JT ;

Liang, MT ;

Yang, SS .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1995, 16 (04) :333-340

[5]

CHEN JT, 1992, BOUNDARY ELEMENT MET

[6]

Chen JT, 1993, BOUND EL ABSTR, V4, P114

[7] APPLICATION OF FUZZY-LOGIC TO INDUCTION SERVO SYSTEM [J].

CHENG, FF ;

YEH, SN .

JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS, 1994, 17 (01) :1-11

[8]

HONG HK, 1988, ASCE, V144, P1028

[9] A new complex-valued formulation and eigenvalue analysis of the Helmholtz equation by boundary element method [J].

Kamiya, N ;

Andoh, E ;

Nogae, K .

ADVANCES IN ENGINEERING SOFTWARE, 1996, 26 (03) :219-227

[10] A NOTE ON MULTIPLE RECIPROCITY INTEGRAL FORMULATION FOR THE HELMHOLTZ-EQUATION [J].

KAMIYA, N ;

ANDOH, E .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1993, 9 (01) :9-13

← 1 2 →