Analytical solution of the forward position analysis of parallel manipulators that generate 3-RS structures

被引：17
|
作者：
Gallardo-Alvarado, J. [1 ]
Rodriguez-Castro, R. [1 ]
Islam, Md Nazrul [2 ]
机构：
[1] Inst Tecnol Celaya, Dept Mech Engn, Celaya 38010, Gto, Mexico
[2] Univ Fukui, Fac Engn, Dept Informat Sci, Fukui 9108507, Japan
来源：
ADVANCED ROBOTICS | 2008年 / 22卷 / 2-3期
关键词：
parallel manipulator; 3-RS structure; analytical solution; polynomial univariate equation; forward kinematics;
D O I：
10.1163/156855308X292556
中图分类号：
TP24 [机器人技术];
学科分类号：
080202 ; 1405 ;
摘要：
In this work the forward position analysis (FPA) of 3-RS structures (R, S, P and C = revolute, spherical, prismatic and cylindrical, respectively) is carried out applying recursively the Sylvester dialytic elimination method. The analytical solution provided in this contribution yields 16 possible poses of the moving platform given the limb lengths of the manipulator and it is applicable to a wide class of parallel manipulators, e.g., the 3-RP*S mechanism, 3-CP*S mechanism, 6-3 Gough-Stewart platforms and 3-RR*S mechanism. A case study is included which consists of solving the FPA of a 3-3 Gough-Stewart platform, also known as an octahedrical mechanism. (C) Koninklijke Brill NV, Leiden and The Robotics Society of Japan, 2008.
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页码：215 / 234
页数：20
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