Nonlinear flutter and random response of composite panel embedded in shape memory alloy in thermal-aero-acoustic coupled field

Abstract

An analytical model for the nonlinear aeroelastic, flutter postponement and random response of the composite panel with shape memory alloy (SMA) in the coupled multi-fields is presented. One-dimensional thermodynamic model is adopted to describe the recovery stress generated by the SMA. Then the recovery stress is introduced into the stress-strain relation, and the von-Karman's large deformation theory, third-order nonlinear piston theory are employed to establish the motion equation of the panel subjected to the combined thermal, aerodynamic and noise loads, in which the noise excitation is simulated by the Gaussian White Noise. The distributions of the stress cycle block are described by using the rain-flow cycle matrix. A few comparisons for the recovery stress of SMA, buckling temperature and flutter pressure are performed to validate the established model. The suppression effect of the SMA on the flutter boundary, post-buckling and response of the system are highlighted. Considering the Thermal-Aero-Acoustic coupled field, the nonlinear dynamic characteristics and post-flutter behavior of the system are analyzed. Many new phenomena, mode jumping, snap-through response and intermittent jumping motion have been observed.