Exact power series solutions for axisymmetric vibrations of circular and annular membranes with continuously varying density in the general case

Journal of Sound and Vibration

Volumn 258, Issue 5, 2002, Pages 981-986

  Willatzen, M ^a  

^a UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; NATURAL FREQUENCIES; POLYNOMIALS;

FREQUENCY COEFFICIENT; POWER SERIES EXPANSION; SOLID CIRCULAR MEMBRANES; TAYLOR SERIES;

VIBRATIONS (MECHANICAL);

EID: 1342286865     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1006/jsvi.2002.5155     Document Type: Editorial

References (8)

1. P. BALA SUBRAHMANYAM and R. I. SUJITH 2001 Journal of Sound and Vibration 248, 371-378. Exact solutions for axisymmetric vibrations of solid circular and annular membranes with continuously varying density.
2. S. DE 1971 Pure and Applied Geophysics 90, 89-95. Solution to the equation of a vibrating annular membrane of non-homogeneous material.
3. P. A. A. LAURA, D. V. BAMBILL and R. H. GUTIERREZ 1997 Journal of Sound and Vibration 205, 692-697. A note on transverse vibrations of circular annular composite membranes.
4. C. Y. WANG 1998 Journal of Sound and Vibration 210, 555-558. Some exact solutions of the vibration of non-homogeneous membranes.
5. R. H. GUTIERREZ, P. A. A. LAURA, D. V. BAMBILL, V. A. JEDERLINIC and D. H. HODGES 1998 Journal of Sound and Vibration 212, 611-622. Axisymmetric vibrations of solid circular and annular membranes with continuously varying density.
6. H. P. W. GOTTLIEB 2000 Journal of Sound and Vibration 233, 165-170. Exact solutions for vibrations of some annular membranes with inhomogeneous radial densities.
7. I. ELISHAKOFF 2000 Journal of Sound and Vibration 234, 167-170. Axisymmetric vibration of inhomogeneous free circular plates: an unusual exact, closed-form solution.
8. G. ARFEN 1985 Mathematical Methods for Physics, 113-115. Orlando: Academic Press; third edition.