超声速气流中平板的颤振分析

Flutter analysis on rectangularplate in supersonic flow

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。

This paper conducts the flutter analysis of rectangular plate in supersonic air flow. The quasi - steady piston theory is employed to calculate the aerodynamic load on the panel. The plate balance equation is established by using theory of elasticity and aerodynamics. Beam model is adopted to structure the ap- proximate mode functions of rectangular plate. The effect of different parameters on the stability of panel is analyzed by studying graphics of plate with the parameters drawn with MATLAB software. The results show that only some modes of the structure are directly related to the flutter, and that the modes appear in pairs and the flutter occurs only when the two specific modal frequencies overlap.