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模态集结法及其在飞行力学中的应用
引用本文:韩潮.模态集结法及其在飞行力学中的应用[J].航空学报,1989,10(6):237-245.
作者姓名:韩潮
作者单位:北京航空航天大学
摘    要: 本文给出一种处理线性系统降阶的集结方法,并根据该方法将飞机纵向运动方程和横侧向运动方程进行降阶分解,得到了飞机的沉浮、短周期、滚转-螺旋和荷兰滚运动模态的各近似式,结果表明本文中的各近似式精度较好,特别是提高了沉浮及荷兰滚阻尼的估计精度。

关 键 词:模态集结法  飞机运动模态  纵向运动  横侧向运动  
收稿时间:1988-06-01;

MODAL AGGREGATION AND ITS APPLICATION IN FLIGHT MECHANICS
Beijing University of Aeronautics and AstronauticsHan Chao.MODAL AGGREGATION AND ITS APPLICATION IN FLIGHT MECHANICS[J].Acta Aeronautica et Astronautica Sinica,1989,10(6):237-245.
Authors:Beijing University of Aeronautics and AstronauticsHan Chao
Institution:Beijing University of Aeronautics and AstronauticsHan Chao
Abstract:This paper presents one kind of aggregation for linear system modal reduction. The aggregational matrix of reduced system is given bythe solution of a general Lyapunov equation——SA11-A22S-A21 =0,in whichA11, A21 and A22 are the block matrices of the parameter matrix of initial linear system. Matrix (-S I) is the aggregational matrix. Then, by means of the method given above, the linearized dynamic equations of longitudinal motion and lateral-directional motion of aircraft are separated, and the approximate formulas of phugoid, short period, roll-spiral and Dutch-roll modes are derived. Some calculation results show that the approximate formulas have a goad precision, espscially increasing the estimation accuracy for the dampings of phugoid and Dutch-roll modes.
Keywords:modal aggregation  modes of aircraft  longitudinal motion  lateral-directional motion    
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