Vibrations of a Non-Homogeneous Annular Membrane

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Authors

  • Sasadhar De
     Department of Physics, Visva-Bharati, P.O. Santiniketan, W. Bengal ,IN

Abstract

The problem of symmetrical vibrations of a homogeneous annular membrane has been investigated by McLachlan[5] and Sharp [6]. The former considers the free vibrations of the membrane of which the outer and inner rings are supposed to be clamped, and derives the frequency equation.

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Published

1972-12-01

How to Cite

De, S. (1972). Vibrations of a Non-Homogeneous Annular Membrane. The Journal of the Indian Mathematical Society, 36(3-4), 297–305. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16672

Issue

Volume 36, Issue 3-4, September-December 1972

Section

Articles

License

Copyright (c) 1972 Sasadhar De

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

M. ABRAMOWITZ and I. A. STEGUN (Editors): Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Publications, Inc., (1965).

H. S. CARSLAW and J. C. JAEGEB : Conduction of Heat in Solids, 2nd Edition, Oxford.

E. JAHNKB, F. EMDE and F. LOSCH : Tables of Higher Functions, Sixth Edition, McGraw-Hill Book Company, Inc.

A. G. MAOKIE : Boundary Value Problems, Oliver and Boyd, (1965).

N. W. MOLACHLAN : Bessel Functions for Engineers, 2nd Edition, Oxford.

G. R. SHAM- : Journal of Sound and Vibration, 5(1), (1967), 1-8.

I. N. SNEDDON : Fourier Transforms : McGraw-Hill Book Company, Inc., (1951).