充气自旋结构的动力学特性研究  

Dynamic characteristics of inflatable spinning structure

作　　者：孙加亮 孙佳昊 金栋平[1] 刘福寿 SUN Jia-liang;SUN Jia-hao;JIN Dong-ping;LIU Fu-shou(State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;College of Civil Engineering,Nanjing Forestry University,Nanjing 210037,China)

机构地区：[1]南京航空航天大学航空航天结构力学及控制全国重点实验室,江苏南京210016 [2]南京林业大学土木工程学院,江苏南京210037

出　　处：《振动工程学报》2023年第3期662-670,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(11827801,12002153,12172181);江苏省自然科学基金资助项目(BK20200434);中央高校基本科研业务费专项资金资助项目(NS2021003)。

摘　　要：针对一种共机架式充气自旋结构,对其进行精确动力学建模与动力学特性分析。分别采用绝对节点坐标描述的缩减壳单元和自然坐标法建立柔性充气管与刚体卫星的动力学模型,基于拉格朗日乘子法将运动学约束引入系统动力学方程,建立其刚柔耦合多体系统动力学模型。考虑充气自旋结构在平衡构型处的线性振动,通过坐标变换推导充气结构在匀速自旋下的特征方程,采用频率平移方法计算其共振频率与模态振型,并利用有限元软件验证其正确性。研究充气自旋结构共振频率随转速和充气气压变化的规律,仿真结果表明,自旋转速与充气气压等因素会引起共振频率曲线的转向、交叉以及模态切换等现象,从而影响充气自旋结构的稳定性。The inflatable spinning structures have many applications in aerospace engineering,the dynamic characteristics of which have a significant impact on the space missions.In this paper,therefore,an accurate dynamic model and the corresponding dynamic characteristic analysis of an inflatable spinning structure are studied.The dynamic models of the flexible inflatable tube and the rigid satellites are established by using the reduced shell element of absolute nodal coordinate formulation(ANCF)and the natural coordinate formulation(NCF),respectively.By using the Lagrange multiplier method,the kinematic constraints are introduced into the system dynamics equations so that a flexible multibody system dynamic model is obtained.Under the assumption of linear vibration of the inflatable spinning structure at the equilibrium configuration,the eigenvalue equation of the inflatable spinning structure is derived by coordinate transformation.The eigenfrequencies and the corresponding modal shapes of the inflatable spinning structure are computed via a frequency shift,and verified with the results from the finite element software.The influence of the spinning speed and inflatable pressure on the eigenfrequencies of the inflatable spinning structure is studied.The results reveal that the spinning speed and inflatable pressure can give rise to the phenomena of eigenfrequency veering,crossing,and switching,which will affect the stability of inflatable spinning structure.

关 键 词：充气自旋结构 动力学特性 刚柔耦合 绝对节点坐标法 自然坐标法 

分 类 号：O313.7[理学—一般力学与力学基础]