## RADIAL VIBRATION IN A SPHERICAL SHELL OF VARIABLE MODULUS OF ELASTICITY

#### Authors:

Nirmalya Kr. Bhattacharyya#### DOI NO:

https://doi.org/10.26782/jmcms.2008.06.00005#### Abstract:

The paper is concerned with the radial vibration of a spherial shell whose young's modulus is a function of the radial distance from the sphere and the poisson's ratio is taken to be constant. The frequency equations for the period of vibration has been determined by perturbation method considering the vibration parameters to be small.#### Keywords:

spherical shell,radial vibration,period of vibration,#### Refference:

I. Love, A.E.H. (1944), A Treatise on the Mathematical theory of Elasticity, Dover Publication (1944) p-142.

II. Paris, G. (1963): Jour. Of Sci. and Engng. Res., 7,1-4.

III. Charaborty, J.G., Radial and rotatory vibration of a spherical shell of aeolotropic elastic material, Bull. Cal. Math. Soc. Vol.147,no.4 (1965)

IV. Sur, S.P., Radial and rotatory vibration of a Spherical shell of aeolotropic elastic material, Bull. Cal. Math. Soc. Vol..47, no.4 (1965).

V. De, P.K. (1968): Bull. Cal. Math. Soc. 60, no.4.

VI. Pan, M.(1975): pH.D.(Se.) Thesis, C.U.

VII. Sengupta, P.R. and Roy, S.K., Radial vibration of a sphere of general visco elastic solid, Garlands Beitr. Geophysik, Leipzig, 92, 5, s. 435-442(1983).

VIII. Ezzat, M.A., Fundamental Solution in Generalized megneto-thermo-elasticity with two relaxation times for perfect conductor cylindrical region, Int. J. Eng. Sci., 42, pp 1503-1519 (2004).

IX. Rakshit, M. and Mukhopadhyay., B. An electro-magneto-thermo-visco-elastic problem I n an infinite medium with a cylindrical hole, Int. J. Eng. Sci. 43,pp.925-936, (2005).

X. Sengupta, S., Roy, I., Chakraborty, H.S., Redial vibration of a non-homogeneous anisotropic elastic spherical shall with inclusion, J. Mech. Cont. and Math. Sci. Vol .2, no.1, pp1-9, (2007).

View Download