Vibration of visco-elastic parallelogram plate with linearly thickness variations in both directions

Autori

  • Arun Kumar Gupta m.s.college
  • Anuj Kumar m.s.college
  • Yogesh Kumar Gupta m.s.college

Parole chiave:

Vibration, visco-elastic, parallelogram plate, linear thickness variation, both directions.

Abstract

An analysis for free transverse vibrations of visco-elastic parallelogram plate whose thickness varies linearly in both directions is presented. Using the separation of variables method and Rayleigh-Ritz technique with a two-term deflection function, the governing differential equation has been solve for vibration of visco-elastic parallelogram plate. For the visco-elastic case, the basic elastic and viscous elements are combined. The Kelvin model for visco-elasticity that is a combination of the elastic and viscous elements in parallel is taken. Here the elastic element means the spring and the viscous element means the dashpot. Time period and deflection function at different point for the first two modes of vibration for various values of taper constant, aspect ratio & skew angle are obtained and shown in tabular form. Keywords: Vibration, visco-elastic, parallelogram plate, linear thickness variation, both directions.

Biografie autore

  • Arun Kumar Gupta, m.s.college
    Associate Professor, Department of Mathematics
  • Anuj Kumar, m.s.college
    research scholar, physics
  • Yogesh Kumar Gupta, m.s.college
    retd. reader, physics

Dowloads

Pubblicato

2010-12-31

Fascicolo

V. 1 N. 1 (2010)

Sezione

Review Articles

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