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转动型3-UPU并联机构的奇异构形分析
引用本文:罗友高,郑相周,宾鸿赞.转动型3-UPU并联机构的奇异构形分析[J].华中科技大学学报(自然科学版),2007,35(3):74-76.
作者姓名:罗友高  郑相周  宾鸿赞
作者单位:1. 华中科技大学,机械科学与工程学院,湖北,武汉,430074
2. 华中农业大学,工程技术学院,湖北,武汉,430070
摘    要:使用四元数变换推导出转动型3-UPU并联机构的雅可比矩阵,根据该机构的几何特点和雅可比矩阵的特点,提出了转动型3-UPU并联机构的奇异构形判别准则.在转动型3-UPU并联机构中,当沿三个连杆的直线相交于一点时(初始构形),或者当动平台方向是由初始构形绕与静平台三角形三边平行的轴线转动而得到时,其构形为奇异;或者在给定的阈值下,当动平台方向是由初始构形绕与静平台平面平行的轴线旋转而得到时,易接近奇异构形.

关 键 词:转动型3-UPU  并联机构  奇异构形  大洋采矿  转动  并联机构  构形分析  spherical  pure  parallel  mechanism  singular  configuration  旋转  平面  阈值  轴线  三角形  动平台  方向  初始构形  直线  连杆  判别准则  奇异构形  几何特点
文章编号:1671-4512(2007)03-0074-03
修稿时间:12 22 2005 12:00AM

Analysis of the singular configuration of 3-UPU parallel mechanism with pure spherical rotations
Luo Yougao,Zheng Xiangzhou,Bin Hongzan.Analysis of the singular configuration of 3-UPU parallel mechanism with pure spherical rotations[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2007,35(3):74-76.
Authors:Luo Yougao  Zheng Xiangzhou  Bin Hongzan
Institution:1.College of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; 2.School of Engineering Technology, Huazhong Agricultural University, Wuhan 430070, China
Abstract:Jacobian matrix is derived for spherical 3-UPU mechanism by unit quaternion transformation.According to geometry of this mechanism,three criteria are put forward to identify singular configuration of the 3-UPU parallel mechanism.When three lines along limbs aer intersected to one point,which is called initial configuration(IC),or when platform orientation is obtained by rotating platform from IC around axis parallel to one of edges of base triangle,the configuration of the 3-UPU is singular.Or when platform orientation is obtained by rotating platform around axis parallel to the base plane,the configuration is liable to singular on a given threshold precision.
Keywords:spherical 3-UPU  parallel mechanism  singular configuration  deep-sea mining
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