Vibrations of rectangular membranes and plates with rectangular holes with fixed boundaries

Journal of Sound and Vibration

Volumn 201, Issue 5, 1997, Pages 636-640

  Laura, P A A ^a   Gutierrez, R H ^a   Rossi, R E ^a  

^a Institute of Applied Mechanics Bahia Blanca   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MEMBRANES; NATURAL FREQUENCIES; PARTIAL DIFFERENTIAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS); STRESS ANALYSIS; STRUCTURAL ANALYSIS;

HELMHOLTZ EQUATION;

VIBRATIONS (MECHANICAL);

EID: 0031123706     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0704     Document Type: Editorial

References (9)

1. A. W. LEISSA 1969 NASA SP 160. Vibration of Plates.
2. P. A. A. LAURA, P. A. LAURA and V. H. CORTINEZ 1986 Journal of Sound and Vibration 106, 187-192. A note on transverse vibrations of a rectangular plate with a free, rectangular corner cut-out.
3. P. A. A. LAURA, R. H. GUTIERREZ, L. EROCLI, J. C. UTJES and R. CARNICER 1987 Ocean Engineering 14, 285-293. Free vibrations of rectangular plates elastically restrained against rotation with circular or square free openings.
4. P. A. A. LAURA, E. ROMANELLI and M. MAURIZI 1972 Journal of Sound and Vibration 20, 27-38. On the analysis of waveguides of double-connected cross-section by the method of conformal mapping.
5. P. A. A. LAURA, C. E. GIANETTI, R. H. GUTIERREZ and L. DIEZ 1978 Journal of Sound and Vibration 60, 499-509. Determination of eigenvalues in a class of doubly connected regions in problems governed by Helmholtz's equation.
6. C. M. WANG, L. WANG and K. M. LIEW 1994 Journal of Sound and Vibration 171, 301-314. Vibrations and buckling of super elliptical plates.
7. C. W. BERT 1987 Journal of Sound and Vibration 119, 317-326. Application of a version of the Rayleigh technique to problems of bars, beams, columns, membranes and plates.
8. F. K. BOGNER, R. L. Fox and L. A. SCHMIT 1996 Matrix Methods in Structural Analysis AFFDL-TR-66-800, 397-443. The generation of inter-element-compatible stiffness and mass matrices by the use of interpolation formulas.
9. A. W. LEISSA 1991. Private communication.