Exact solutions for vibrations of some annular membranes with inhomogeneous radial densities

Journal of Sound and Vibration

Volumn 233, Issue 1, 2000, Pages 165-170

  Gottlieb, H P W ^a  

^a GRIFFITH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DENSITY (SPECIFIC GRAVITY); EIGENVALUES AND EIGENFUNCTIONS; FREQUENCIES; MATHEMATICAL TRANSFORMATIONS; MEMBRANES;

ANNULAR MEMBRANES; BESSEL FUNCTIONS; LOGARITHMIC TRANSFORMATION; RADIAL DENSITIES;

VIBRATIONS (MECHANICAL);

EID: 0033738764     PISSN: 0022460X     EISSN: None     Source Type: None    
DOI: 10.1006/jsvi.1999.2806     Document Type: Editorial

References (6)

1. C.Y. WANG Some exact solutions of the vibration of non-homogeneous membranes Journal of Sound and Vibration 210 1998 555 558
2. S. DE Solution to the equation of a vibrating annular membrane of non-homogeneous material. (In equation (3) of this paper, r should be raised to the power − n /2 Pure and Applied Geophysics 90 1971 89 95
3. A.B. BASSET An Elementary Treatise on Hydrodynamics and Sound 1900 Deighton Bell Cambridge
4. H.P.W. GOTTLIEB Wake-free cylindrical and spherical waves in inhomogeneous media Journal of Mathematical Physics 29 1988 2434 2437
5. H.P.W. GOTTLIEB Axisymmetric isospectral annular plates and membranes IMA Journal of Applied Mathematics 49 1992 185 192
6. H.P.W. GOTTLIEB Iso-spectral operators: some model examples with discontinuous coefficients Journal of Mathematical Analysis and Applications 132 1988 123 137