结构参数对机翼非线性颤振系统混沌运动特性的影响

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (12) : 174-178.

论文

结构参数对机翼非线性颤振系统混沌运动特性的影响

张惠1，杨智春1，张新平2，周建1，谷迎松1

作者信息 +

Effects of Structural Parameters on Chaotic Motion of Nonlinear Flutter for a two dimensional Wing

Zhang Hui1, Yang Zhichun1, Zhang Xinping2，Zhou Jian1, Gu Yingsong1

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文章历史 +

摘要

机翼非线性颤振系统中的混沌运动是一种复杂的非线性动力学现象，研究结构参数对机翼非线性颤振系统混沌运动特性的影响，对非线性动力学系统的混沌运动控制具有重要意义。建立具有立方型非线性操纵刚度的带操纵面二元机翼的颤振方程，采用数值积分方法分别获得该非线性颤振系统在不同阻尼水平和不同操纵刚度下的分岔特性图。对分岔特性图进行对比分析结果表明：操纵面的操纵刚度并不影响系统的混沌运动特性，而操纵面偏转自由度或机翼俯仰自由度上的阻尼将会影响系统混沌颤振区域内的周期窗口，进而影响系统的混沌运动特性，特别是两自由度中任意一个的阻尼水平减小到一定程度时，系统混沌颤振区域内的周期窗口都将会消失；但是，单一的减小某个自由度上的阻尼水平，会使机翼非线性颤振系统的颤振临界速度降低。为了使得该系统在混沌颤振区域内不产生周期窗口又不降低其颤振临界速度，可采用在减小俯仰自由度阻尼的同时增大操纵面偏转自由度阻尼的方法。

Abstract

The chaotic motion of the nonlinear flutter system for a two dimensional wing is a complex nonlinear dynamic phe-nomenon. The effects of the structural parameters on the chaotic motion characteristics of the nonlinear flutter system are investigated, to explore the control approaches of chaotic motion for nonlinear flutter system. The flutter motion equation of a two dimensional wing with a control surface is built and cubic rotating stiffness is assumed for the control surface. The bifurcation diagrams of the system are obtained by numerical calculations for different damping coefficients in the rotating DOF of the control surface and the pitching DOF of the wing. The results demonstrate that the chaotic motion characteristics are weakly affected by the intensity of control stiffness nonlinearity, but the periodic windows in the chaotic motion area are strongly affected by the damping coefficient. The periodic windows disappear when the damping coefficient is decreased monotonously to a certain extent, and the critical flutter velocity is decreased simultaneously. It is found that the periodic windows can be eliminated without reducing the critical flutter velocity by decreasing the damping coefficient in the rotating DOF of control surface while increasing the damping coefficient in the pitching DOF of wing.

导出引用

张惠;杨智春;张新平;周建;谷迎松. 结构参数对机翼非线性颤振系统混沌运动特性的影响[J]. 振动与冲击, 2013, 32(12): 174-178

Zhang Hui;Yang Zhichun;Zhang Xinping;Zhou Jian;Gu Yingsong. Effects of Structural Parameters on Chaotic Motion of Nonlinear Flutter for a two dimensional Wing[J]. Journal of Vibration and Shock, 2013, 32(12): 174-178