粘弹壁板非线性颤振滞后特性分析

分析了Kelvin粘弹力模型作用下二维壁板非线性颤振系统在分岔参数连续变化时的分岔特性以及滞后特性。采用von Karman大变形理论及Kelvin粘弹阻尼模型建立二维壁板动力学方程,采用线性活塞理论建立气动力模型。利用伽辽金法将壁板颤振模型转化为常微分方程组,分析了粘弹阻尼对系统稳定性的影响,并通过数值模拟研究分岔参数连续变化时该系统的分岔特性以及分岔参数的变化方向不同时该系统的滞后行为。计算结果表明,粘弹壁板颤振系统存在静止、屈曲、极限环、浑沌等复杂的运动形式,且存在明显的滞后现象。

ANALYSIS OF HYSTERETIC CHARACTERISTICS OF A NONLINEAR VISCOELASTIC PANEL FLUTTER

A two-dimensional nonlinear viscoelastic panel flutter model is developed and studied on its bifurcation and hysteresis characteristics.Both Von Karman's large deflection theory and Kelvin's viscoelastic damping model are applied to deduction of its governing equation,and the first order piston theory is used to simulate the gas pressure exerted on the panel.Then,the partial differential governing equation is transformed to ordinary differential equations by use of Galekin method,followed by linear stability analysis focused on effect of viscoelasticity.Numerical simulation is performed to study bifurcation,hysteresis characteristics when parameters vary continuously and bidirectionally.It shows that complex phenomena and distinct hysteresis exist in the viscoelastic panel flutter system.