Finite Motion Analysis of Parallel Mechanisms with Parasitic Motions Based on Conformal Geometric Algebra

被引：2

作者：

Huo, Xinming ^{[1
]}

Song, Yimin ^{[1
]}

机构：

[1] Tianjin Univ, Minist Educ, Key Lab Mech Theory & Equipment Design, Tianjin, Peoples R China

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2018年 / 28卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Parallel mechanism; Conformal geometric algebra; Finite motion analysis; Parasitic motion; KINEMATIC ANALYSIS; MANIPULATOR; OPTIMIZATION; STIFFNESS; MOBILITY; DESIGN;

D O I：

10.1007/s00006-018-0832-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Finite motion analysis of parallel mechanisms (PMs) denotes formulating the map between finite motion of end-effector and those of its component limbs. By employing conformal geometric algebra (CGA), this paper presents an analytical and accurate method to analyze the finite motions of PMs with parasitic motions. Herein, parasitic motions are defined as the dependent motions in the constraint Degrees-of-Freedom (DoFs) of PMs. Firstly, description of rigid body transformations based on CGA is reviewed. Then, the intersection algorithm of finite motions is introduced by exploiting the algebraic properties of CGA. Based on this, a method to formulate the finite motions of PMs with parasitic motions is proposed. Finally, Z3 mechanism is sketched as example by utilizing the approach. This method facilitates the invention of new mechanisms and can also be applied in the finite motion analysis of other kinds of PMs.

引用

页数：16

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