Stochastic Resonance of Giant Magnetostrictive Film-Shape Memory Alloy Composite Cantilever Plate.

Stochastic resonance of a giant magnetostrictive film-shape memory alloy (GMF-SMA) composite cantilever plate subjected to in-plane stochastic magnetic excitation is studied in the paper. Van der Pol terms are developed to explain the hysteretic phenomena of both GMF and SMA, and the nonlinear dynamic model of GMF-SMA composite cantilever plate subjected to in-plane stochastic magnetic excitation is established. The probability density function of the system's dynamic response is obtained, and the conditions of stochastic bifurcation are analyzed. Numerical simulation and experimental results show that the stochastic noise intensity plays an important role in the system's vibration; the system's response is little when the stochastic noise intensity is weak, and then the system's response increases with the stochastic noise, and finally decreases when the stochastic noise reaches a certain value; the stochastic resonance phenomenon occurs with the stochastic noise varying. The results of this paper are helpful for the application of GMF-SMA composite cantilever plate in vibration reduction fields. [ABSTRACT FROM AUTHOR]