二元机翼非线性颤振系统的若干分析方法

摘要

颤振是气动弹性力学研究最重要的问题之一.综述了亚音速条件下二元机翼非线性颤振研究的若干分析方法.目前,基于二元机翼的非线性颤振分析采用的定性方法主要是常微分方程定性理论,定量方法则有等效线性化法、描述函数法、谐波平衡法以及摄动法等.对所提及的方法做了简要的评述和比较,指出了进一步研究的问题.%Based on the nonlinear flutter model of a two-dimensional airfoil, several qualitative and/or quantitative methods for nonlinear flutter analysis were summarized. The qualitative methods concerned mainly refer to qualitative theories for ordinary differential equations. The quantitative methods are classified, for convenience only, as equivalent linearization method, describing function method, harmonic balance method, perturbation method and so on. Aiming at highlighting the relative merits of each type of methods, the mentioned techniques were briefly discussed and compared with one another.