Nonlinear flutter of shape memory alloy hybrid composite panels subject to thermal and random acoustic loads

Abstract

Nonlinear flutter of a traditional composite plate impregnated with pre-strained shape memory alloy fibers and subjected to combined thermal, aerodynamic and random acoustic loads are investigated. The nonlinear governing equations are obtained using the first-order shear-deformable plate theory, von Karman strain-displacement relations and the principle of virtual work. To account for the temperature dependence of material properties, the thermal strain is stated as an integral quantity of thermal expansion coefficient with respect to temperature. The thermal load is assumed to be steady state constant temperature distribution, and the acoustic excitation is considered to be a white-Gaussian random pressure with zero mean and uniform magnitude over the plate surface. The dynamic nonlinear equations of motion are transformed to modal coordinates to reduce the computational efforts. Finally, the nonlinear response of a shape memory alloy hybrid composite plate panel are presented, illustrating the effect of shape memory alloy fiber embeddings, sound pressure level, dynamic pressure and temperature rise on the panel response.