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针对星载天线双轴定位机构的空间漂浮基无根树多体系统动力学实时仿真及控制系统设计的需要,应用空间算子代数(SOA)理论进行多体系统动力学建模和仿真;提出了SOA描述的动力学递推及求解算法,并面向对象思想定义多体系统数据结构,进行了动力学计算流程设计。所提方法形式直观、便于推导、物理意义明确及达到了O(n)计算效率。通过与Simpack仿真结果进行比较,结果表明SOA的多体系统动力学算法求解速度更快、仿真结果精度更高。
Aiming at the need of real-time dynamics simulation and control system design of spaceborne floating-root-free multi-body system with space-borne antenna based on biaxial positioning mechanism of spaceborne antenna, multi-body system dynamics modeling and simulation are presented by using space operator algebra (SOA) theory. The kinetic recursion and solution algorithm of SOA description is described. The multi-body system data structure is defined based on object-oriented thought, and the dynamic calculation flow design is carried out. The proposed method is intuitive, easy to derive, has a clear physical meaning and achieves the computational efficiency of O (n). Compared with the Simpack simulation results, the results show that SOA multi-body system dynamics algorithm is faster and the simulation results are more accurate.