One buckled simply supported giant magnetostrictive material (GMM) laminated thin film beam model subject to axial colored noise excitations is proposed. Applying the Hamilton principle and Galerkin approach the model is expressed as a one dimensional vibrating model with parametrical random excitation. The stochastic averaging method is used to obtain the probability density function (PDF) of the amplitude when the vibration is around the buckled position and the amplitude of the oscillation is small. The reliability of the system was also studied. The numerical simulation verified the theoretical analysis.
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