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.

提出了一种在耦合多场中具有形状记忆合金（SMA）的复合板的非线性气动弹性，颤振延迟和随机响应的解析模型。采用一维热力学模型来描述SMA产生的回复应力。然后将恢复应力引入应力-应变关系中，并采用冯-卡尔曼的大变形理论，三阶非线性活塞理论来建立面板在热，空气和噪声共同作用下的运动方程。通过高斯白噪声模拟噪声激励。通过使用雨流循环矩阵来描述应力循环块的分布。SMA恢复应力的一些比较，进行屈曲温度和颤振压力来验证建立的模型。突出了SMA对颤振边界，后屈曲和系统响应的抑制作用。考虑热-声-声耦合场，分析了系统的非线性动力学特性和颤振后行为。已经观察到许多新现象，包括模式跳跃，快速响应和间歇性跳跃运动。