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H. Ibrahim, M. Tawfik, and Hani Mohammed Negm
Random Response of Shape Memory Alloy Hybrid Composite Plates Subject To Thermo-Acoustic Loads
Accepted for Publication, Journal of Aircraft

 

Abstract

Random dynamic response and thermal buckling of a shape memory alloy (SMA) hybrid composite plate subjected to combined thermal and random acoustic loads are investigated. A nonlinear finite element model was developed using the first order shear deformable plate theory, von Karman strain-displacement relations, and the principle of virtual work. The thermal load was assumed to be a steady state constant temperature distribution, while the acoustic excitation was modeled as a white-Gaussian pressure with zero mean and uniform magnitude over the plate surface. To account for the nonlinear temperature-dependence of material properties, the thermal strain was stated as an integral quantity of the thermal expansion coefficient with respect to temperature. The static nonlinear equations of motion are solved by Newton-Raphson iteration technique to obtain the thermal post-buckling deflection, while the dynamic nonlinear equations of motion were transformed to modal coordinates and solved by employing Newmark implicit integration scheme. Finally, the critical buckling temperatures, static thermal post-buckling deflections and the random dynamic responses of a shape memory alloy hybrid composite plate panel are presented, illustrating the effect of SMA fiber embeddings, sound pressure level, and temperature rise on the panel response.

 

 

 

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