对超声速气流作用下的矩形平板进行了颤振分析,采用一阶活塞理论计算准定常气动力,利用弹性力学理论和结构动力学理论建立了平板的运动平衡方程。采用梁模态构造矩形平板的近似模态函数。运用MATLAB软件编程画出平板在不同参数下的有关图形,研究了这些参数变化对平板稳定性的影响规律。分析结果可知,结构的所有模态中只有部分模态与颤振发生直接有关。这些模态是成对出现的,并且只有特定的两个模态频率重合才能发生颤振。 The flutter analysis of the rectangular plate under supersonic airflow was carried out. The first-order piston theory was used to calculate the quasi-constant aerodynamics. The equations of motion of the plate were established by using the theory of elasticity and structural dynamics. Approximate Modal Functions of Rectangular Plates Using Beam Modal. Using MATLAB software program to draw the plate under the different parameters of the relevant graphics, the impact of these parameters on the stability of the flat law. The results show that only part of the modes of the structure are directly related to the occurrence of chattering. These modalities appear in pairs and flutter occurs only if the two specific modal frequencies are coincident.