基于Lagrange方法的直升机地面共振分析模型

Analysis Model of Helicopter Ground Resonance Based on Lagrange Equation Method

摘要:

建立直升机旋翼/机体耦合运动微分方程是进行地面共振分析的基础。运用坐标转换矩阵得出桨叶上任意一点在惯性坐标系下的坐标和速度,由此可以得到旋翼/机体耦合系统的动能、势能和耗散能,用 Lagrange方法推导出了直升机旋翼/机体耦合运动微分方程。用地面共振分析常用的 Coleman模型对文中的模型进行比较验证,结果显示,文中模型与 Coleman模型结果是一致的,可以认为文中的模型是正确的。

Abstract:

To establish differential equations of helicopter rotor/fuselage coupled system is the basis to analyze helicopterground resonance. Coordinate and velocity in inertial system of an arbitrary point on blades was educed using coordinatetransformation matrix, kinetic energy, potential energy and dissipation energy of system could be received. Then differen.tial equations of system were educed utilizing Lagrange equation method. In order to validate the model in this paper, com.parison was made with Coleman model, which was used commonly in helicopter ground resonance analysis. The results in.dicated that two models were accordant, so the correctness of model could be confirmed.