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.
Highlights
During the last few years, functional graded materials (FGMs) have been used more and more in the various industries such as biomechanics, automotive, aerospace and naval and etc
Modal analysis has been performed for double clamp support FGM beam to evaluated natural frequencies
The first six natural frequencies of FGM beam with different number of N is reported in Table. 2 and shown as Figure 4
Summary
During the last few years, functional graded materials (FGMs) have been used more and more in the various industries such as biomechanics, automotive, aerospace and naval and etc. A common type of this materials is composed of metal and ceramic constituents which is obtained by mixing the powder [1,2,3]. Metal and ceramic phases continuously change from one level to another. It means that one level of material is pure ceramic and another level is pure metal. The mechanical properties change in the thickness direction according to the type of material combinations. The first finding of these materials was related to their application in the thermal environment. The effects of slenderness ratio (L/H) on the results is discussed
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