ROTATORY VIBRATION OF AN ANISOTROPIC IN-HOMOGENEOUS ANNULAR DISK

Authors:

A.De,S.Banik,

DOI NO:

https://doi.org/10.26782/jmcms.2009.07.00007

Keywords:

Rotator vibration,Isotropic,Inhomogeneous ,Elastic disk,

Abstract

The aim of the present paper is to investigate rotatory vibration of an isotropic  inhomogeneous elastic disk when the elastic constants and also the density of the material varies exponentially as the n-th power of the distance from the center and thinks such problem was not attempted before by any previous investigator and the corresponding results are shown graphically.

Refference:

I. Bhowmick, Monoj Roy & Sengupta, P.R.(1986): The effect of non-homogeneous on rotatory vibration of spherical shell., Indian Journal of Theoretical physics, vol.35, no.4, 1987.

II. Biswas, p.(1983): Nonlinear free vibrations of heated elastic plates. Indian Journal of Pure and Applied Mathematics., 14(10), 1199-1203, October, 1983.

III. Biswas, p.(1983): Nonlinear vibration of a non-isotropic Trapezoidal plate., Indian Journal of Pure and Applied Mathematics,14(2), 265-269, Feb. 1983.

IV. Biswas,p. & Kapoor, (1984):  Nonlinear free vibrations of orthotropic circular plates at elevated temperature. Journal of Indian Institute of Science., 65(B), pp-(87-93), 1984.

V. Chakraborty, A. & Bera, R.K. (2002): Nonlinear vibration and stability of a shallow unsymmetrical orthotropic sandwich shell of double curvature with orthotropic core , Math.Appl., vol.43, pp. (1617-1630), 2002.

VI. Chakraborty,A. & Bera, R.K. (2006):  Large amplitude vibration of thin homogeneous heated orthotropic sandwich elliptic plates. Journal of Thermal stress, vol.29, pp.(21-36), 2006.

VII. Chakraborty, J.G & Choudhuri, P.K.  (1983): The Elastic plastic problem of a thin rotating disk with vibration thickness- Indian Journal of Pure & Applied Mathematics, 14(1), pp-(70-78), Jan 1983.

VIII. Chatterjee, D.(1968): Problem of rotatory vibration of an anisotropic elastic disk. Indian Journal of Mechanics & Mathematics; vol.6 no.1.

IX. Choudhuri P.K. & Dutta, S. (1989): Note on the small vibration of beams with varying Young’s modulus carrying a concentrated mass distribution.’ Indian Journal of Pure & Applied Mathematics, 20(1), 75-88, Jan-1989.

X. De, P.K. (1968): ‘Rotatory vibration of a sphere of variable modulus of elasticity.’  Bulletin of Calcutta Mathematics Society, vol. 60, no.4, p-(185-189).

XI. Kundu, J.C. & Basuli, S(1977): ‘Note on the vibration of circular plates of variable thickness.’ Indian Journal of Theoretical physics; vol.25, no.1, 1977.

XII. Mollah, S.A.(1977): Note on the vibration of circular plates of variable thickness.’ Indian Journal of Theoretical physics; Calcutta;  vol.25, no.1, 1977.

XIII.Mollah, S.A.(1978): ” Vibration of rectangular plates of variable thickness under the combined action of uniform lateral loads and uniform tension’ Bulletin of Calcutta Mathematics Society; vol.70. no.4

XIV. Sinharoy, G.C. & Bera, R.K.(1993): Large amplitude vibration of thin homogeneous orthotropic elastic plates under uniform heating revisited.’ International Journal of Engineering Science, vol-31, no.6, pp.883-892.1993.

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