Exact solutions for axisymmetric vibrations of solid circular and annular membranes with continuously varying density

Journal of Sound and Vibration

Volumn 248, Issue 2, 2001, Pages 371-378

  Bala Subrahmanyam, P ^a   Sujith, R I ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DENSITY (SPECIFIC GRAVITY); DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MEMBRANES; NUMERICAL METHODS;

ANNULAR MEMBRANE; AXISYMMETRIC VIBRATION; EXACT SOLUTION; SOLID CIRCULAR MEMBRANE;

VIBRATIONS (MECHANICAL);

EID: 0035935967     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3706     Document Type: Editorial

References (15)

1. A review of approximate methods for determining the vibrational modes of membranes
2. Solution to the equation of a vibrating annular membrane of non-homogeneous material
3. Bounds on natural frequencies of composite circular membranes: Integral equation method
4. Transverse vibrations of composite membranes of arbitrary boundary shape
5. Free vibrations of a non-homogenous rectangular membrane
6. Fundamental frequency of non-homogeneous rectangular membranes
7. A note on transverse vibrations of circular annular composite membranes
8. Some exact solutions of the vibration of non-homogeneous membranes
9. Axisymmetric vibrations of solid circular and annular membranes with continuously varying density
10. Exact solutions for vibrations of some annular membranes with inhomogeneous radial densities
11. Axisymmetric vibration of inhomogeneous free circular plates: An unusual exact, closed-form solution