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约束力/矩对一种少自由度并联机构刚度及弹性变形的影响
引用本文:张秀礼.约束力/矩对一种少自由度并联机构刚度及弹性变形的影响[J].青岛科技大学学报,2013(3):290-294.
作者姓名:张秀礼
作者单位:燕山大学机械工程学院
基金项目:国家自然科学基金资助项目(51175447);河北省应用基础研究计划重点基础研究项目(11962127D)
摘    要:研究约束力/矩对一种3UPS+RRPR少自由度并联机构的总刚度与弹性变形的影响。以主动约束力/矩为基础求解3UPS+RRPR少自由度并联机器人机构的刚度与弹性变形。首先分析该并联机构受力位置并确定主动约束力/矩的姿态。然后,分析该并联机构的主动约束分支的弹性变形,并解出主动约束分支的伴随矩阵。基于6×6的雅可比矩阵和主动约束分支的伴随矩阵,导出该并联机构的总刚度矩阵和弹性变形。最后得出结论:约束力/矩对该并联机构的弹性变形产生巨大的影响,当建立总刚度矩阵和弹性变形时,必须考虑约束力/矩。

关 键 词:并联机构  约束  伴随矩阵  刚度矩阵  弹性变形

Effect of Constrained Force/Torque on Stiffness and Elastic Deformation of a Limited-Degree-of-Freedom Parallel Manipulators
ZHANG Xiu-li.Effect of Constrained Force/Torque on Stiffness and Elastic Deformation of a Limited-Degree-of-Freedom Parallel Manipulators[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,2013(3):290-294.
Authors:ZHANG Xiu-li
Affiliation:ZHANG Xiu-li (College of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China)
Abstract:The effect of constrained force/torque on total stiffness matrices and elastic deformations of 3UPS+RRPR limited-degree-of-freedom parallel manipulators was researched.Stiffness and their elastic deformations are based on constrained Force/torque.Firstly the force situations of the PMs are analyzed and the poses of the active/constrained Force/torque are determined.Then,the elastic deformations of the active/constrained legs in the PMs are analyzed and the compliance matrices of the active/constrained legs are derived.Based on the 6×6 Jacobian matrices and the compliance matrices of active/constrained legs,the total stiffness matrices and elastic deformations of the PMs are derived.The results show that active/constrained Force/torque have a huge impact to elastic deformation,and when establishing the total stiffness matrix and elastic deformation,constrained Force/torque must be considered.
Keywords:parallel manipulator  constrained  compliance matrix  stiffness matrix  elastic deformation
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