Free vibration of the cylindrical panel made of functionally graded materials resting on pasternak elastic foundation subjected to magnetic fields using first order shear deformation theory

In this paper، magnetic field effect on the free vibration of cylindrical panel made of functionally graded materials resting on pasternak elastic foundation using first order shear deformation theory for simply supported edges is investigated. The governing equations of motion are obtained by using principle of the Hamilton and energy method. These equations are solved by the navier method. The effect of geometrical parameters such as the radius to length ratio، thickness to length ratio، sector angle of cylindrical panel and Pasternak elastic foundation on the natural frequencies are studied. It is observed that the natural frequencies of cylindrical panel made of functionally graded materials with increasing the radius to length ratio، thickness to length ratio، and sector angle of cylindrical panel decreases، while its stability increases by considering the effect of pasternak elastic foundation. Also the natural frequencies of cylindrical panel made of functionally graded materials increases by applied magnetic field and influence of magnetic field on the higher natural frequencies is higher than that of the lower frequencies.