We like to use the GDQ (generalized differential quadrature) method to compute and study the thermal vibrations and transient responses of magnetostrictive FGM (functionally graded material) actuators. We consider the center deflection of thin laminate strip as the stroke length to design and analyze a simple bending type of magnetostrictive FGM actuator. The parallel-plies laminate strip consists of one mounted Terfenol-D layer and two layers of FGMs. The purpose of this paper is to calculate the center deflection of thin laminate strips under thermal vibrations. The important of the study might be contributed to the development of mechanical parts.