Free Vibration Analysis of Rotating Plates in High Thermal Environments Using the Finite Element Method

Abstract

The aim of the work is to study the vibration characteristics of rotating functionally graded material (FGM) plates using the finite element method. The mechanical properties of the ordinary and temperature dependent FGM plates are assumed to be varying in the thickness direction according to a power law distribution in terms of the volume fractions of the constituents. The temperature field is ascertained using a nonlinear distribution in the thickness direction only. The present method results are compared with numerical results available in the literature. The frequency characteristics of the rotating ordinary FGM and temperature dependent FGM plates are examined. The effect of parameters such as hub radius, rotating speed, temperature change, and power law index value on the natural frequencies of rotating FGM plates are investigated through this study. The plots reveal that the temperature field, rotational speed, and the gradient index in the material properties have a significant effect on the vibration characteristics of the rotating ordinary FGM and temperature dependent FGM plates.

Numerical modelling of parametric instability problem for composite plate using finite element method

“…One of the earlier researchers was Bolotin [1] who has contributed greatly in the study of parametric instability of elastic systems such as in isotropic rods, plates and shells subjected to periodic loading. The Bolotin's method of solving the Mathieu-Hill equation by assuming solution to be in a form of Fourier series has been used until today [2][3][4][5].…”