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基于空间算子代数理论多刚体系统反向动力学仿真
Inverse Dynamics Simulation of Rigid Multibody System Based on Spatial Operator Algebra Theory
【摘要】 应用空间算子代数理论,在通用计算机符号演算软件Mathematica5.2的环境下,对多刚体系统反向动力学进行设计与实现。广义质量是正、反向动力学及联系旋量力和旋量加速度的重要参量,据此可形成高效递推算法。用空间算子代数理论求广义质量、反向动力学具有形式简洁、物理意义明确、编程效率高和直观等特征。运用VB.NET编程软件实现与Mathematica5.2软件无缝集成,对多刚体系统动力学仿真及反向动力学进行参数化分析与计算,给出了实施过程。根据分析结果,对PUMA560机器人进行了反向动力学设计,并与结果进行了对比,通过算例验证了结果的正确性和有效性。
【Abstract】 The inverse dynamics of the rigid multibody system is studied based on the spatial operator algebra theory,and the generalized mass procedure is realized in the environment of Mathematica 5.2 software.The high effective stepping method can be used to compute forward and inverse dynamics.It is an important factor for linking rotation force and rotation acceleration,and has a simple mathematical expression and a clear physical meaning.The software structure of the generalized mass and inverse dynamics is built and the rigid multibody system dynamics simulation model is realized based on the integrated procedure VB.NET and Mathematica 5.2.According to the analysis,the example of PUMA560 robot inverse dynamics is studied.Finally,the correctness and the validity are verified by the computed examples.
【Key words】 rigid multibody system; inverse dynamics; generalized mass; spatial operator algebra(SOA);
- 【文献出处】 南京航空航天大学学报 ,Journal of Nanjing University of Aeronautics & Astronautics , 编辑部邮箱 ,2009年01期
- 【分类号】O313.7
- 【被引频次】14
- 【下载频次】302