Rajneesh Kumar, Geeta Partap. Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(3): 335-348.
Citation: Rajneesh Kumar, Geeta Partap. Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(3): 335-348.

Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate

  • Received Date: 2006-03-07
  • Rev Recd Date: 2007-01-12
  • Publish Date: 2007-03-15
  • The propagation of axisymmetric free vibrations in an infinite homogeneous isotropic micropolar thermoelastic plate without energy dissipation subjected to stress free and rigidly fixed boundary conditions is investigated.The secular equations for homogeneous isotropic micropolar thermoe-lastic plate without energy dissipation in closed form for symmetric and skewsymmetric wave modes of propagation were derived.The different regions of secular equations were obtained.At short wave-length limits,the secular equations for symmetric and skew symmetric modes of wave propagation in a stress free insulated and isothermal plate reduce to Rayleigh surface wave frequency equation.The results for thermoelastic,micropolar elastic and elastic materials were obtained as particular cases from the derived secular equations.The amplitudes of displacement components,microrotation and temperature distribution were also computed during the symmetric and skew symmetric motion of the plate.The dispersion curves for symmetric and skew symmetric modes and amplitudes of displacement components,microrotation and temperature distribution in case of fundamental symmetric and skew symmetric modes were presented graphically.The analytical and numerical results are found to be in close agreement.
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