Finite Element Study on the Vibration of Functionally Graded Beam with Different Temperature Conditions

Abstract

Functional graded materials have been wide range of applications in the different industries such as automotive, machine, aerospace and etc. So, the vibration analysis under different conditions is very important. FGMs are made of a ceramic and a metal to protect against large temperature gradients. The main objective of this research is to study of the effect of temperature field on the natural frequencies of functional graded (FG) beams with different conditions. The finite element model has been simulated in ANSYS. It is assumed that the beam is made of ceramic and metal, and the effective material properties such as Young’s modulus, Poisson’s ratio and etc. are temperature-dependent and vary continuously through the thickness direction according to a power-law distribution. Natural frequencies have been obtained with different conditions in the environmental temperature. Thus, modal analysis has been performed for a FGM beam with C-C and C-F supports. The obtained results have been compared with other published papers. It has a good agreement. Then, the effect of temperature field and slenderness ratio have been studied on the frequency values of FG thick beams. It is found that the natural frequency of the system is reduced by temperature increasing under all support conditions. And it is reduced by decreasing zirconia material at every constant temperature.