General dynamic model for educational assembling-type robot and its fast simulation algorithm

通用组合式教育机器人动力学模型及其快速仿真算法(英文)

To realize automatic modeling and dynamic simulation of the educational assembling-type robot with open structure, a general dynamic model for the educational assembling-type robot and a fast simulation algorithm are put forward. First, the educational robot system is abstracted to a multibody system and a general dynamic model of the educational robot is constructed by the Newton-Euler method. Then the dynamic model is simplified by a combination of components with fixed connections according to the structural characteristics of the educational robot. Secondly, in order to obtain a high efficiency simulation algorithm, based on the sparse matrix technique, the augmentation algorithm and the direct projective constraint stabilization algorithm are improved. Finally, a numerical example is given. The results show that the model and the fast algorithm are valid and effective. This study lays a dynamic foundation for realizing the simulation platform of the educational robot.

为实现具有开放结构的组合式教育机器人自动建模与动态仿真,建立了教育机器人的动力学模型及其仿真算法.首先,将教育机器人抽象为多体系统,利用牛顿-欧拉法建立其通用的动力学模型,并结合教育机器人的结构特点,以构件绑定方法对机器人模型进行了简化.其次,基于稀疏矩阵计算技术,对计算机仿真中常用的增广动力学求解算法和直接投影修正算法进行改进,以此作为教育机器人的仿真算法,提高仿真速度和精度.最后,通过一个算例验证了模型和改进算法的有效性.该研究为实现教育机器人仿真平台奠定了动力学基础.