Abstract

An efficient finite element procedure is developed to predict large amplitude nonlinear random response of shape memory alloy hybrid composite (SMAHC) plates subjected to the combined thermal load and acoustic excitation. The temperature-dependent material properties of shape memory alloy (SMA) and traditional composites, and the von Karman large deflections are considered in the formulation. Finite element system equations of motion are developed and transferred to modal coordinates to reduce the large number of physical structural node degree of freedom (DOF). All three types of motion can be predicted for SMAHC plates, and they are (i) linear random vibration about one of the two thermally buckled equilibrium positions (BEPs), (ii) intermittent snap-through motion between the two BEPs, and (iii) large amplitude random vibration over the two BEPs. The random responses of SMAHC plates are compared with those of traditional composite plates without SMA. Results show that the random response in using SMA can be reduced greatly within a certain temperature range at low and moderate sound pressure levels (SPLs), but only slightly at high SPLs for the plates studied.

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