空间控制技术与应用2024，Vol.50Issue(4)：26-36,11.DOI:10.3969/j.issn.1674-1579.2024.04.004
基于非线性色散方程组的全柔性航天器的动力学分析
Dynamical Analysis of a Highly Flexible Spacecraft Based on Nonlinear Dispersive Equations
摘要
Abstract
The space solar power station is an ultra-large and lightweight space structure,due to the high flexibil-ity,which may result in a notable spillover when treated as the classical modal-based dynamics equations with arti-ficial modal truncation.In response to this phenomenon,when modeling the flexible spacecraft dynamics,a contin-uous spatial domain method is used,to study the asymptotic behavior of the coupled rigid-body and flexible system,to determine the dominated dynamical behavior and to provide a guiding principle of a reasonable reduced model for the controller design.The space solar power satellite is approximated by a planar nonlinear free-free beam with global large overall rigid-body motions and local elastic vibration with finite extension and bending,to depict the strain hardening exactly.By Hamilton's principle,a system of nonlinear dispersive equations in the quotient func-tion spaces corresponding to an affine action of the rigid-body motion which is described by a floating reference frame is obtained.Then,with the nonlinear dispersive equations,relative equilibrium and their linear stability,as well as the relation between the mode solutions or the dispersive solutions and structual parameters are analyzed in the case of small deformation.Nonlinear dynamical behavior including strain hardening,nonlinear normal modes and solitons are analyzed primarily in the finite deformation case.The principle of adopting a promising reduced model is summarized according to the structural parameters and initial conditions.Numerical simulations illustrate the validity of the key analytical results.关键词
柔性航天器/大范围自由运动/动力刚化/色散性/简化模型Key words
flexible spacecraft/large over-all motion/strain hardening/dispersive equations/reduced model分类
航空航天引用本文复制引用
袁泉,魏春岭,张军,万强,邹奎,王梦菲..基于非线性色散方程组的全柔性航天器的动力学分析[J].空间控制技术与应用,2024,50(4):26-36,11.基金项目
空间智能控制技术全国重点实验室基金(2022JCJQLB01001) National Key Laboratory of Space Intelligent Control(2022JCJQLB01001) （2022JCJQLB01001）
