In this paper free vibration analysis of viscothermoelastic spherical curved plate has been presented to study the spheroidal and toroidal vibrations. The basic governing partial differential equations have been reduced to ordinary differential equations for time harmonic vibrations. Coupled systems of equations represent spheroidal vibrations, while uncoupled equation corresponds to toroidal vibrations. These uncoupled vibrations remain independent of temperature variations. Matrix Fröbenious method of extended power series has been applied to derive the formal solution of the coupled system of ordinary differential equations. The analytical results have been computed numerically for polymethyle methacrylate material. The fundamental iteration technique have been used to compute eigen values and corresponding eigen functions to represent field quantities with the help of MATLAB software. The numerical results in respect of lowest frequency, dissipation factor, stresses, displacements and temperature change have been presented graphically.
Journal of Applied Science and Engineering 19(2), pp.135-148