Free Vibration Analysis of Visco- elastic Orthotropic Rectangular plate with Bi- Parabolic Thermal Effect and Bi- Linear Thickness Variation
Keywords:
visco- elastic, thickness, frequency, vibration, taper parameter, aspect ratio.Abstract
Vibrations of plates have a significant role in modern engineering and technology, aircraft technology; naval structure etc. Vibration of plates depends upon its shape, thickness, nature of material, boundary conditions etc. Different types of materials are generally used by the requirement of engineers i.e. isotropic, orthotropic, anisotropic, homogenous, nonhomogenous etc. The mainstream of visco- elastic materials are receptive to heat in space technology, highly speed space flights, internal combustion engines, satellites, certain parts of mechanical structures have to man oeuvre under elevated temperatures consequently the state of affairs are thermal sensitive. The present study is a full fleshed endeavor to investigate the vibration responses of orthotropic rectangular plates under the effect of temperature allowing variation in thickness of plate in both directions. In this paper, effect of bi- linearly variation in temperature is premeditated on vibration of an orthotropic rectangular plate:
Frequency equation is derived by using Rayleigh–Ritz technique with a two- term deflection function. Time period, Deflection and Logarithmic decrement at different points for the first two modes of vibration are calculated for various values of thermal gradients, aspect ratio and taper constants. All results are presented in tabular form.
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