二元机翼的双稳环颤振及多重环分叉分析

本文利用等效线化及数值计算方法,研究了带初偏间隙型非线性俯仰刚度的二元颤振系统的双稳态极限环颤振特性,给出了极限环稳定区间的稳定性判据.分别分析了初偏参数及速度参数对非线性颤振系统分叉曲线的影响及系统的分叉特性,并用数值计算方法得到精确的分叉参数值.本文为动力学系统的分叉研究提供了一个有实际意义的力学模型.

Analysis of Double Limit Cycle Flutter and Multi-Cycle Bifurcation of An Airfoil

Based on experimental results, both equivalent linearization and numerical simulation methods are performed to investigate the double stable limit cycle flutter characters of a two dimensional wing with preloaded free-play nonlinear pitching stiffness. The stable criteria is given for the limit cycle region. The effects of deviation and speed parameters on the bifurcation plots of nonlinear flutter system and the multi-cycle bifurcation properties are analysed respectively. Numerical results give the critical parameter values of bifurcation with reasonable accuracy.