Thermal Effect on Vibration of Tapered Rectangular Plate | Zendy

Anupam Khanna | Zendy; Ashish Singhal | Zendy

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Thermal Effect on Vibration of Tapered Rectangular Plate

Author(s) -

Anupam Khanna,

Ashish Singhal

Publication year - 2014

Publication title -

journal of structures

Language(s) - English

Resource type - Journals

eISSN - 2356-766X

pISSN - 2314-6494

DOI - 10.1155/2014/642926

Subject(s) - vibration , boundary value problem , rayleigh–ritz method , thermal , fundamental frequency , temperature gradient , equations of motion , vibration of plates , differential equation , boundary (topology) , mathematical analysis , mathematics , mechanics , geometry , physics , acoustics , classical mechanics , thermodynamics , quantum mechanics

A mathematical model is constructed to help the engineers in designing various mechanical structures mostly used in satellite and aeronautical engineering. In the present model, vibration of rectangular plate with nonuniform thickness is discussed. Temperature variations are considered biparabolic, that is, parabolic in x-direction and parabolic in y-direction. The fourth-order differential equation of the motion is solved by Rayleigh Ritz method for three different boundary conditions around the boundary of plate. Numerical values of frequencies for the first two modes of vibration are presented in tabular form for different values of thermal gradient, taper constants, and aspect ratio

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