期刊
ADVANCED ROBOTICS
卷 22, 期 2-3, 页码 215-234出版社
TAYLOR & FRANCIS LTD
DOI: 10.1163/156855308X292556
关键词
parallel manipulator; 3-RS structure; analytical solution; polynomial univariate equation; forward kinematics
类别
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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