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

作　　者：刘湘一[1] 王允良[1] 刘书岩[1] 胡国才[1] 

机构地区：[1]海军航空工程学院飞行器工程系,山东烟台264001

出　　处：《海军航空工程学院学报》2015年第4期353-357,共5页Journal of Naval Aeronautical and Astronautical University

基　　金：中国航空科学基金资助项目(20145784010)

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

关 键 词：直升机 动力学 地面共振 LAGRANGE方法 

分 类 号：V212.4[航空宇航科学与技术—航空宇航推进理论与工程]