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DYNAMIC ANALYSIS OF FLEXIBLE BODY WITH DEFINITE MOVING ATTITUTE
引用本文:杨元明,张伟,宋天霞,陈传尧. DYNAMIC ANALYSIS OF FLEXIBLE BODY WITH DEFINITE MOVING ATTITUTE[J]. 应用数学和力学(英文版), 2006, 27(1): 133-140. DOI: 10.1007/s 10483-006-0117-1
作者姓名:杨元明  张伟  宋天霞  陈传尧
作者单位:College of Civil Engineering and Mechanics,College of Civil Engineering and Mechanics,College of Civil Engineering and Mechanics,College of Civil Engineering and Mechanics Huazhong University of Science and Technology,Wuhan 430074,P.R.China Department of Civil Engineering,Nanyang Institute of Technology,Nanyang 430074,Henan Province P.R.China,Huazhong University of Science and Technology,Wuhan 430074,P.R.China,Huazhong University of Science and Technology,Wuhan 430074,P.R.China,Huazhong University of Science and Technology,Wuhan 430074,P.R.China
基金项目:Project supported by the Natural Science Foundation of Henan Province (No.0311011100)
摘    要:The nonlinear dynamic control equation of a flexible multi-body system with definite moving attitude is discussed.The motion of the aircraft in space is regarded as known and the influence of the flexible structural members in the aircraft on the motion and attitude of the aircraft is analyzed.By means of a hypothetical mode,the defor- mation of flexible members is regarded as composed of the line element vibration in the axial direction of rectangular coordinates in space.According to Kane’s method in dy- namics,a dynamic equation is established,which contains the structural stiffness matrix that represents the elastic deformation and the geometric stiffness matrix that represents the nonlinear deformation of the deformed body.Through simplification the dynamic equation of the influence of the planar flexible body with a windsurfboard structure on the spacecraft motion is obtained.The numerical solution for this kind of equation can be realized by a computer.

关 键 词:动态分析 多体系统 弹性 凯恩方程 直线振动 硬度
收稿时间:2004-03-06
修稿时间:2005-08-16

Dynamic analysis of flexible body with definite moving attitute
Yuan-ming Yang,Wei Zhang,Tian-xia Song,Chuan-yao Chen. Dynamic analysis of flexible body with definite moving attitute[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(1): 133-140. DOI: 10.1007/s 10483-006-0117-1
Authors:Yuan-ming Yang  Wei Zhang  Tian-xia Song  Chuan-yao Chen
Affiliation:1. College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P.R.China;Department of Civil Engineering,Nanyang Institute of Technology, Nanyang 430074, Henan Province P. R. China
2. College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P.R.China
Abstract:The nonlinear dynamic control equation of a flexible multi-body system with definite moving attitude is discussed. The motion of the aircraft in space is regarded as known and the influence of the flexible structural members in the aircraft on the motion and attitude of the aircraft is analyzed. By means of a hypothetical mode, the deformation of flexible members is regarded as composed of the line element vibration in the axial direction of rectangular coordinates in space. According to Kane’ s method in dynamics, a dynamic equation is established, which contains the structural stiffness matrix that represents the elastic deformation and the geometric stiffness matrix that represents the nonlinear deformation of the deformed body. Through simplification the dynamic equation of the influence of the planar flexible body with a windsurfboard structure on the spacecraft motion is obtained. The numerical solution for this kind of equation can be realized by a computer. Project supported by the Natural Science Foundation of Henan Province (No.0311011100)
Keywords:flexible body  line element vibration  dynamic equation  Kane's method
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