On the polygonal membrane with a circular core

Journal of Sound and Vibration

Volumn 215, Issue 1, 1998, Pages 195-199

  Wang, C Y ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; MEMBRANES;

ASYMPTOTIC PROPERTIES; CONFORMAL MAPPING; GALERKIN APPROXIMATION; POLYGONAL MEMBRANE;

VIBRATIONS (MECHANICAL);

EID: 0032490775     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1654     Document Type: Editorial

References (11)

1. LORD RAYLEIGH 1945 The Theory of Sound, Volume 1. New York: Dover, second edition. See Chapter 9.
2. R. F. HARRINGTON 1961 Time Harmonic Electromagnetic Fields. New York: McGraw-Hill. See Chapters 4, 5.
3. J. MAZUMDAR 1975 The Shock and Vibration Digest 7, 75-88. A review of approximate methods for determining the vibrational modes of membranes.
4. F. L. NG 1974 IEEE Transactions MMT 22, 322-329. Tabulation of methods for the numerical solution of the hollow waveguide problem.
5. P. A. LAURA, E. ROMANELLI and M. J. MAURIZI 1972 Journal of Sound and Vibration 20, 27-38. On the analysis of waveguides of doubly-connected cross-section by the method of conformal mapping.
6. N. W. MCLACHLAN 1955 Bessel Functions. London: Oxford, second edition. See Chapter 2.
7. J. A. KOLODZIEJ 1987 Solid Mechanics Archives 12, 187-231. Review of application of boundary collocation methods in mechanics of continuous media.
8. H. Y. YEE and N. F. AUDEH 1966 IEEE Transactions MTT-14, 487-493. Cutoff frequencies of eccentric waveguides.
9. H. D. CONWAY 1961 Journal of Applied Mechanics 28, 288-291. The bending, buckling and flexural vibration of simply supported polygonal plates by point-matching.
10. P. A. LAURA 1967 Journal of Acoustical Society of America 42, 21-26. Calculation of eigenvalues for uniform fluid waveguides with complicated cross-sections.
11. E. M. SPARROW 1966 Journal of Heat Transfer 88, 182. Discussion.