AN IMPROVED FORMULATION FOR ACOUSTIC EIGENMODE EXTRACTION FROM BOUNDARY ELEMENT MODELS

被引:19
作者
COYETTE, JP
FYFE, KR
机构
[1] Dynamic Engineering N.V., Leuven, B-3030
来源
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1990年 / 112卷 / 03期
关键词
D O I
10.1115/1.2930521
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The acoustic boundary element method has been utilized primarily as a direct response analysis technique. Recently, methodologies have been published that enable the formulation of an eigenvalue problem from a boundary element model. These techniques, however, have been very slow due to the inefficient synthesis techniques used in solving the algebraic problems. In this paper, an alternative procedure is obtained which indirectly calculates the desired acoustic variables. This technique greatly enhances the calculation speed in setting up the eigenvalue problem and in determining the field pressures. A subspace iteration technique is outlined to solve the generalized unsymmetric eigenvalue problem. Examples are presented to show the accuracy of the method. © 1990 ASME.
引用
收藏
页码:392 / 398
页数:7
相关论文
共 14 条
[1]  
Adeye J.O., Bernal M.J.M., Pitman K.E., An Improved Boundary Integral Equation Method for Helmholtz Equations, International Journal for Numerical Methods in Engineering, 21, pp. 779-787, (1985)
[2]  
Banerjee P.K., Ahmad S., Wang H.C., A New BEM Formulation for the Acoustic Eigenfrequency Analysis, International Journal for Numerical Methods in Engineering, 26, pp. 1299-1309, (1988)
[3]  
Bathe K.J., Finite Element Procedures in Engineering Analysis, (1982)
[4]  
Bernhard R.J., Gardner B.K., Mollo C.G., Prediction of Sound Fields in Cavities using Boundary Element Methods, AIAA Journal, 25, pp. 1176-1183, (1987)
[5]  
Brebbia C.A., Teiles J.C.F., Wrobel L.C., Boundary Element Techniques, Theory and Applications in Engineering, (1984)
[6]  
Coyette J.P., A New Ritz Vectors Method for Modelling Damped Acoustic Systems, (1988)
[7]  
Demey G., Calculation of Eigenvalues of the Helmholz Equation by an Integral Equation, International Journal for Numerical Methods in Engineering, 10, pp. 59-66, (1976)
[8]  
Garbow B.S., The QZ Algorithm to Solve Generalized Eigenvalue Problems for Complex Matrices, ACM Trans. Math. Software, 4, pp. 404-410, (1977)
[9]  
Guisset P., SYSNOISE Users Manual, Dynamic Engineering Report, (1988)
[10]  
Kaufman L., The LZ Algorithm to Solve Generalized Problems for Complex Matrices, ACM Trans. Math. Software, 1, pp. 271-281, (1975)