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一种平面并联机构位置正解分析的共形几何代数及Sylvester结式方法

Keywords: 共形几何代数,Sylvester结式,结式消元,平面并联机构,位置正解

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Abstract:

研究一种平面并联机构位置正解分析的共形几何代数建模方法和改进的Sylvester结式消元求解方法.基于含有未知参数的5维共形空间的点表示,提出了位置正解分析的共形几何代数建模方法.提出了一种改进的Sylvester结式消元方法,即冗余因子消去法,求出了能得到准确解的一元6次方程.通过一个数值实例,得出了这个机构位姿的无增无漏的6组解,验证了所提出方法的正确性和有效性.

References

[1]  Li Hongbo, Hestenes D, Rockwood A. Generalized homogeneous coordinates for computational geometry[M]//Sommer G. Geometric Computing with Clifford Algebras. Berlin, Heidelberg: Springer,2001.
[2]  李洪波.共形几何代数:几何代数的新理论和计算框架[J].计算机辅助设计与图形学学报,2005,17(11):2383-2393. Li Hongbo. Conformal geometric algebra: a new framework for computational geometry[J]. Journal of Computer-Aided Design & Computer Graphics, 2005,17(11):2383-2393.(in Chinese)
[3]  李洪波.共形几何代数与运动和形状的刻画[J].计算机辅助设计与图形学学报,2006,18(7):895-901. Li Hongbo. Conformal geometric algebra for motion and shape description[J]. Journal of Computer-Aided Design & Computer Graphics, 2006,18(7):895-901. (in Chinese)
[4]  廖启征.连杆机构运动学几何代数求解综述[J].北京邮电大学学报,2010,33(4):1-11. Liao Qizheng. Geometry algebra method for solving the kinematics of linkage mechanisms[J]. Journal of Beijing University of Posts and Telecommunications, 2010,33(4):1-11. (in Chinese)
[5]  Donald B R,Kapur D,Mundy J L. Symbolic and numerical computation for artificial intelligence[M].: Harcourt Brace Jovanovich, 1992:52-55.
[6]  倪振松,廖启征,魏世民,等.基于共形几何代数的一种平面并联机构位置正解[J].北京邮电大学学报,2010,33(2):7-10. Ni Zhensong, Liao Qizheng, Wei Shimin, et al. Forward displacement of a planar parallel mechanisms position based on conformal geometric algebra[J]. Journal of Beijing University of Posts and Telecommunications, 2010,33(2):7-10. (in Chinese)
[7]  韩林,张昱,梁崇高.吴方法在平面并联机构位置正解中的应用[J].北京航空航天大学学报,1998,24(1):116-119. Han Lin, Zhang Yu, Liang Chonggao. Wu\'s method for forward displacement analysis of the planar parallel mechanisms[J]. Journal of Beijing University of Aeronautics and Astronautics, 1998,24(1):116-119. (in Chinese)
[8]  石赫.机械化数学引论[M].长沙:湖南教育出版社,1998. Shi He. Introduction to mechanized mathematics[M]. Changsha: Hu\'nan Educational Publishing House, 1998. (in Chinese)
[9]  何青.计算代数[M].北京:北京师范大学出版社,1997. He Qing. Computing algebra[M]. Beijing: Beijing Normal University Press, 1997. (in Chinese)
[10]  张纪元,沈守范.多项式的整除与结式消元[J].南京理工大学学报,1994,17(4):23-27. Zhang Jiyuan, Shen Shoufan. Polynomial integral division and elimination by eliminant[J]. Journal of Nanjing University of Science and Technology, 1994,17(4):23-27. (in Chinese)

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