在轨组装与展开的变构型刚体姿轨耦合动力学
ORBIT-ATTITUDE COUPLED DYNAMICS OF VARIABLE-CONFIGURATION RIGID BODIES DURING IN-ORBIT ASSEMBLY AND DEPLOYMENT
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摘要: 超大型航天器尺寸可达千米量级, 由数百个结构模块组成, 主要通过在轨组装和展开的方式建造. 当前在轨组装和展开的研究主要关注常规尺寸航天结构的少数几次组装和展开, 极少研究超大型结构在轨组装和展开过程的姿态和轨道动力学行为. 本文针对千米量级超大型航天结构在轨组装和展开过程, 基于自然坐标法提出了变构型刚体的姿轨耦合动力学建模方法. 首先, 给出了变构型刚体的自然坐标几何描述, 推导了质量矩阵和动能表达式, 基于约束Hamilton方程, 提出了变构型刚体的动力学建模方法, 并通过均匀变长度单摆和匀加速变长度单摆两个算例进行了有效性验证. 然后, 建立了在轨展开变构型刚体的姿轨耦合动力学模型, 研究了空间桁架在轨展开过程的姿轨耦合动力学响应, 推导了科氏力矩的理论表达式, 与仿真结果相符. 最后, 基于提出的建模方法, 研究了超大型航天结构多次“先组装、再展开”建造策略的姿轨耦合动力学响应. 针对双机器人组装过程, 提出了组装序列设计的原则使组装过程结构构型具有对称性, 从而使万有引力梯度力矩基本上保持为零. 研究发现在此情况下科氏力矩成为主要的干扰力矩.Abstract: Ultra-large spacecraft can reach the kilometer scale and are composed of hundreds of structural modules, mainly constructed through on-orbit assembly and on-orbit deployment. Existing research in this field has mainly concentrated on a limited number of assembly and deployment processes for conventional-sized space structures, whereas investigations about the orbital and attitude dynamic behaviors involved in the assembly and deployment of kilometer-scale ultra-large space structures remain scarce. This paper proposes a modeling method for the attitude and orbital coupling dynamics of variable-configuration rigid bodies based on the natural coordinate formulation for the on-orbit assembly and deployment process of kilometer-scale ultra-large space structures. Firstly, the geometric description of the variable-configuration rigid body in natural coordinates is given, the mass matrix and kinetic energy expression are derived, and the dynamic modeling method of the variable-configuration rigid body is proposed based on constrained Hamilton’s equations. The effectiveness of the modeling method is verified through two variable-length pendulum examples, including a uniformly varying length example and a uniformly accelerated varying length example. Then, the attitude and orbital coupling dynamics model of the variable-configuration rigid body during on-orbit deployment and assembly is established, and the attitude and orbital coupling dynamic responses of the variable-configuration process of the space truss during on-orbit deployment are studied. The theoretical expression of the Coriolis moment is derived, which is consistent with the variation law of the attitude control moment during the deployment process in numerical simulation. Finally, based on the proposed modeling method, the orbit-attitude coupled dynamics of the deploy-after-assembly construction strategy of ultra-large space structures is studied. The assembly sequence using two space robots is designed based on four principles such that the space structure is symmetry and the gravity gradient torque is almost zero during the assembly process. In this case, the Coriolis moment becomes the main disturbance moment.