基于ANCF的薄膜太阳帆自旋展开动力学模拟  

Spin Deployment Dynamics Simulation of Membrane Solar Sail Based on ANCF

作　　者：薛鹏聪 刘铖[1,2,3] 水小平 XUE Pengcong;LIU Cheng;SHUI Xiaoping(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China;CAEP Software Center for High Performance Numerical Simulation,Beijing 100088,China;Institute of Applied Physics and Computational Mathematics,Beijing 100088,China)

机构地区：[1]北京理工大学宇航学院,北京100081 [2]中物院高性能数值模拟软件中心,北京100088 [3]北京应用物理与计算数学研究所,北京100088

出　　处：《深空探测学报（中英文）》2022年第2期217-229,共13页Journal Of Deep Space Exploration

基　　金：国家自然科学基金资助项目(12072026,11832005)。

摘　　要：执行深空探测任务的薄膜太阳帆在入轨展开过程中,其薄膜结构在宏观力学响应上表现出显著的拉压不对称特性。系统的动力学行为呈现出强烈的非线性特征,使其动力学建模与仿真计算面对巨大挑战。基于绝对节点坐标方法(Absolute Nodal Coordinate Formulation,ANCF),整合张力场和不同模量弹性理论,推导了单元精确的切线刚度矩阵,提出了一种考虑不同模量的ANCF薄膜单元计算方法。在此基础上,采用第一类拉格朗日方程对薄膜太阳帆进行动力学建模,并通过可控数值耗散的广义-α算法求解动力学方程,分析了太阳帆不同结构设计参数对其展开动力学特性的影响。仿真结果验证了该方法在处理空间薄膜问题时的算法稳定性和高效性,对大型帆膜结构的系统设计有理论指导意义。During the launch process of the membrane solar sail for deep space exploration mission,the membrane structure presents significant asymmetric characteristics under tension and compression.The dynamic behavior of the system shows strong nonlinear characteristics,which brings great challenges to the dynamic modeling and simulation calculation.Based on the Absolute Nodal Coordinate Formulation(ANCF),integrating the tension field theory and the elasticity theory of different moduluses,the accurate tangent stiffness matrix of the element was derived,and a calculation method of ANCF membrane element considering different moduluses was proposed.On this basis,the first kind of Lagrange equation was used to model the dynamics of membrane solar sail,the dynamic equations were solved by the generalized-αalgorithm with controllable numerical dissipation,and the influence of different structural design parameters of solar sail on its deployment dynamic characteristics was analyzed.The simulation results verify the stability and efficiency of this method in dealing with space membrane problems,and provide theoretical guidance for the system design of large sail membrane structures.

关 键 词：绝对节点坐标方法 薄膜结构 不同模量弹性理论 

分 类 号：O313.7[理学—一般力学与力学基础]