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 also many the thermal environment, existence environment will have great impact on stability moving object. Therefore, it is significance study axial motion temperature field. In this paper, taking axially plate as research object, dynamic control equation established, simplified linear dimensionless boundary conditions graded, using multi-scale method find governing equation, complex mode solve obtain natural frequency system. Furthermore, effects velocity, functional gradient index, viscoelastic coefficient parameters analyzed by Matlab.