DYNAMIC ANALYSIS OF FLEXIBLE BODY WITH DEFINITE MOVING ATTITUTE

• Published in: Applied mathematics and mechanics Vol. 27; no. 1; pp. 133 - 140
• Main Author: 杨元明 张伟 宋天霞 陈传尧
• Format: Journal Article
• Language: English
• Published: Department of Civil Engineering,Nanyang Institute of Technology, Nanyang 430074, Henan Province P. R. China%College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P.R.China 2006; College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P.R.China
• Subjects: Aircraft; Aircraft components; Deformation; Dynamical systems; Mathematical analysis; Mathematical models; Nonlinear dynamics; Stiffness matrix; 凯恩方程; 动态分析; 多体系统; 直线振动; flexible body; Kane's method; line element vibration; dynamic equation
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-006-0117-1

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 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.