论文部分内容阅读
以大型空间绳系辅助返回系统为背景,利用微元法和拉格朗日方程建立有分布质量的柔性绳系辅助返回系统的展开动力学模型。针对模型复杂的非线性和强耦合问题,采用Galerkin法进行离散化处理以求解;引入经典的珠子模型,以验证Galerkin法解的准确性;最后通过数学仿真来验证和分析Galerkin法解的正确性和收敛性,并对绳系辅助返回系统的展开动力学特性进行适当的分析。仿真结果表明:本文建立的柔性绳系辅助返回系统的展开动力学模型以及基于Galerkin法对动力学模型的求解是正确的,解法是收敛的。
In the context of the large space rope assisted return system, the dynamic model of a flexible rope assisted return system with distributed mass is established using the method of the least squares and Lagrange equations. In order to solve the complex nonlinear and strong coupling problems, the Galerkin method is used to solve the problem. The classical bead model is introduced to verify the accuracy of the Galerkin method. Finally, the correctness of the Galerkin method is verified and analyzed through mathematical simulation And convergence of the system, and analyze the unfolding dynamic characteristics of the rope-assisted return system. The simulation results show that the developed dynamic model of the flexible rope assisted return system and the solution to the dynamic model based on the Galerkin method are correct, and the solution is convergent.