Kinematic Optimal Design of a 2-DoF Parallel Positioning Mechanism Employing Geometric Algebra

被引：0
作者：
Xinming Huo
Panfeng Wang
Wanzhen Li
机构：
[1] Tianjin University,Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education
来源：
Advances in Applied Clifford Algebras | 2018年 / 28卷
关键词：
Parallel positioning mechanism; Kinematic analysis; Optimal design; Geometric algebra;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper proposes a geometric algebra (GA) based approach to carry out inverse kinematics and design parameters of a 2-degree-of-freedom parallel mechanism with its topology structure 3-RSR&SS for the first time. Here, R and S denote respectively revolute and spherical joints. The inverse solutions are obtained easily by utilizing special geometric relations of 3-RSR&SS parallel positioning mechanism, which are proven by calculating relations among point, line and plane in virtue of operation rules. Three global indices of kinematic optimization are defined to evaluate kinematic performance of 3-RSR&SS parallel positioning mechanism in the light of shuffle and outer products. Finally, the kinematic optimal design of 3-RSR&SS parallel positioning mechanism is carried out by means of NSGA-II and then a set of optimal dimensional parameters is proposed. Comparing with traditional kinematic analysis and optimal design method, the approach employing GA has following merits, (1) kinematic analysis and optimal design would be carried out in concise and visual way by taking full advantage of the geometric conditions of the mechanism. (2) this approach is beneficial to kinematic analysis and optimal design of parallel mechanisms in automatic and visual manner using computer programming languages. This paper may lay a solid theoretical and technical foundation for prototype design and manufacture of 3-RSR&SS parallel positioning mechanism.
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