考虑弹性机翼影响的旋转颤振方程的来解方法

A SOLVING PROCESS FOR EQUATIONS OF WHIRL FLUTTER CONSIDERING WING ELASTICITY

在文献［１］所建立的系统不含阻尼的运动方程的基础上，引入结构阻尼，经过巧妙的推导和演算，将原系统方程变换成一个便于求解的广义复特征值问题。接着，我们首次提出了一种非常有效的双迭代算法对问题进行求解。应用本算法对某型螺旋桨飞机的旋转颤振进行了计算，并主要考察了弹性机翼的影响。结果表明，本文算法合理可靠，对分析系统的强度及颤振问题极其有效。

By introducing structural dampings and performing very ingenious derivations and mathematical cal-culations to the undamped dynamic equations in our earlier paper[1], the original system equations were changed in-to a generalized complex eigenvalue problem convenient to solve. Then,a specially effective bi-iterative algorithmwas first put forward to find the solutions to the problem. The algorithm was applied to calculate whirl flutter foracertain type propeller aircraft and the influences of elastic wing were mainly examined.Results have shown ouralgorithm is reasonable and reliable and extremely effective to analyse the dynamic strength and whirl flutter of system.