Dynamic behavior controlling of functionally graded beams using piezoelectric layers

In this study, the frequency analysis of a functionally graded thick beam with piezoelectric layers under various boundry conditions have been carried out. Governing equations of Timoshenko beam have been derived by the first shear deformation beam theory and Hamilton’s principle and solved by using a mesh free radial point interpolation method. Applying this numerical method, the field variables are interpolated using nodes scattered arbitrarily in the plate domain. Since there is no connection between two arbitrarily nodes, their numbers can be increased in any area and direction to obtain better accuracy. In frequency analysis of beam vibration, the effect of different boundary conditions, smart piezoelectric materials, FGM volume fractions and thermal environment on beam behavior is analyzed. Results for different conditions of this study is presented and compared with those in the literature. Keywords: frequency analysis, thick beams, Functionally Graded Materials, Radial Point Interpolation Method, piezoelectric layers