Research on free vibration characteristics of axially moving functionally graded plates under the action of temperature field

Abstract

As a new type of material, functionally graded materials are widely used in industry, aerospace and other fields due to their special physical properties. Among them, there are also many in the thermal environment, and the existence of the thermal environment will also have a great impact on the stability of the moving object. Therefore, it is of great significance to study the axial motion functionally graded materials in the temperature field. In this paper, taking the axially moving functionally graded plate as the research object, the dynamic control equation of the axially moving functionally graded plate in the thermal environment is established, and the simplified linear dimensionless control equation and boundary conditions of the axially moving functionally graded, using the multi-scale method to find the governing equation, and using the complex mode method to solve the equation to obtain the natural frequency of the system. Furthermore, the effects of axial velocity, functional gradient index, viscoelastic coefficient and thermal parameters on natural frequency are analyzed by Matlab.