RESEARCH ARTICLE


Analyses of Inverse Kinematics, Statics and Workspace of a Novel 3RPS-3SPR Serial-Parallel Manipulator



Bo Hu*, 1, Yi Lu1, Jing Jing Yu2, Shan Zhuang1
1 Robotics Research Center, College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei Qinhuangdao, China
2 Department of Mechanics and Electronics, Heibei Normal University of Science & Technology, Hebei Qinhuangdao, China


© 2012 Hu et al

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: (https://creativecommons.org/licenses/by/4.0/legalcode). This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Robotics Research Center, College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei Qinhuangdao, China; Tel: 8613230307616; Fax: 86-335-8074783; E-mail: hbz0001@yahoo.com.cn


Abstract

A novel 3RPS-3SPR serial-parallel manipulator (S-PM) with 6 degree of freedoms (DOFs) is proposed in this paper. It includes a lower 3RPS parallel manipulator (PM) and an upper 3SPR PM. Its inverse kinematics, active forces and workspace are solved. First, the inverse displacement is solved in close form based on the geometrical and the dimensional constraints of this S-PM. Second, the 9×9 and 6×6 form inverse Jacobian matrices are derived and the active forces are solved using principle of virtual work. Third, the workspace of this S-PM is constructed by using CAD variation geometry approach.

Keywords: Serial-parallel manipulator, kinematics, statics, workspace.