Two-dimensional thermoelastic vibration analysis of functionally graded plates

Thermoelastical vibration analysis is presented of a two-dimensional simply supported orthotropic functionally graded plate with arbitrary distributed material properties. The state equations of the functionally graded thermoelastical material are obtained based on the state space method. The Peano-Baker series solution is obtained for the thermoelastical fields of the functionally graded plate subjected to forced mechanical and thermal loads on its upper and lower surfaces. The influence of different forced frequencies on the structural response of the plate can be studied making use of the obtained solutions.