弹性飞机的建模与模型降阶方法研究  

Research on Modeling and Model Reduction of Flexible Aircraft

作　　者：刘宝[1] 章卫国[1] 李广文[1] 宁东方[1] 

机构地区：[1]西北工业大学自动化学院,陕西西安710072

出　　处：《计算机仿真》2008年第5期29-32,43,共5页Computer Simulation

摘　　要：现代大型高速飞机的结构弹性变形日趋严重,而传统的刚性模型不能反映出飞机的结构变形特性,需要在建模时考虑飞机模型是弹性体。研究了基于Lagrange方程与"平均轴"坐标系的弹性飞机建模方法;说明了平衡截断降阶法及其改进方法平衡奇异摄动法的实现算法;以弹性飞机纵向方程为例,通过分析高、低弹性模型与刚性模型的频率响应,说明了弹性变形对飞机建模的影响,并应用平衡截断法和平衡奇异摄动法简化了高弹性飞机模型,得到了实用的低阶模型。最后分析了两种降阶方法的截断误差,指出了各自适用范围。The structure elastic deformation of modern large and high -speed aircraft is increasingly serious, but traditional rigid model can＇ t reflect airplane structural deformation characteristic, so the aircraft needs to be regarded as an elastic body when modeling. In this paper, the modeling method of flexible aircraft based on Lagrange equation and “mean axes” coordinate system is studied. Two algorithms of balanced truncation reducing method and its modi- fied balanced singular perturbation approximation are discussed. The effect of elasticity on aircraft modeling is demonstrated by analyzing the elastic model and rigid model frequency response of the longitudinal equation of a flexible aircraft. For the practical application, the low-order models are obtained by the balanced truncation method and balanced singular perturbation approximation. Finally, the truncation error and applicable area of two reduction methods are analyzed.

关 键 词：刚性模型 弹性飞机建模 平衡截断法 平衡奇异摄动法 

分 类 号：V212[航空宇航科学与技术—航空宇航推进理论与工程] V215.3