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Transverse vibration of nonhomogeneous orthotropic viscoelastic circular plate of varying parabolic thickness

โœ Scribed by Arun Kumar Gupta; Neeri Agarwal; Harvinder Kaur

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
154 KB
Volume
34
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

An analysis of the transverse vibration of nonhomogeneous orthotropic viscoelastic circular plates of parabolically varying thickness in the radial direction is presented. The thickness of a circular plate varies parabolically in a radial direction. For nonhomogeneity of the circular plate material, density is assumed to vary linearly in a radial direction. This paper used the method of separation of variables in solving the governing differential equation. In this paper, an approximate but quite convenient frequency equation is derived by using the Rayleigh-Ritz technique with a two-term deflection function. Deflection, time period and logarithmic decrement for the first two modes of vibration are computed for the nonhomogeneous orthotropic viscoelastic circular plates of varying parabolic thickness with clamped edge conditions for various values of nonhomogeneity constants and taper constants and these are shown in tabular form for the Voigt-Kelvin model.

๐Ÿ“œ SIMILAR VOLUMES

Transverse vibrations of circular plates
Transverse vibrations of circular plates of linearly varying thicknesses
โœ Ricardo O. Grossi; Patricio A.A. Laura ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 301 KB

The title problem is solved using very simple polynomial co-ordinate functions and a variational approach. Rather general boundary conditions are assumed at the edge support. It is shown that the approach is valid jor axi-and antisymmetric modal configurations.

Transverse vibrations of circular plates
Transverse vibrations of circular plates with stepped thickness
โœ R.H. Gutierrez; P.A.A. Laura ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

The study of the dynamic behaviour of circular plates with stepped thickness is of interest in view of their use in the construction of high frequency transducers. A simple analytical approach which allows for the prediction of their natural frequencies is proposed in the present Note.