Thermal vibration of magnetostrictive functionally graded material shells

The functionally graded material (FGM) shell with mounted magnetostrictive layer under thermal vibration was studied by using the generalized differential qradrature (GDQ) method. The FGM shell with/without negative velocity feedback of magnetostrictive position, with different power law index effects subjected to two edges lamped condition was analyzed. With velocity feedback and with suitable control gain value can reduce the amplitudes of displacement and shear stress into a smaller value. The magnetostrictive FGM shell is stable versus the Terfenol-D thickness for all values of FGM power law index. The magnetostrictive FGM shell can stand against the higher heating temperature of environment with some values of power law index.