TY - GEN
T1 - A novel algorithm for solving design equations for synthesizing platform linkages
AU - Ge, Xin
AU - Ge, Q. J.
AU - Gao, Feng
N1 - Publisher Copyright:
Copyright © 2015 by ASME.
PY - 2015
Y1 - 2015
N2 - This paper revisits the problem of geometric design of platform linkages such that one or more of its points of the platform stays on a sphere or a plane. We develop a novel algorithm taking advantage of linear structure in the design constraint equations. The new algorithm reduces the problem of synthesizing platform linkages with spherical and plane constraints to a twostepped process: null space analysis followed by a generalized eigenvalue problem. An example is provided to show the effectiveness of the algorithm.
AB - This paper revisits the problem of geometric design of platform linkages such that one or more of its points of the platform stays on a sphere or a plane. We develop a novel algorithm taking advantage of linear structure in the design constraint equations. The new algorithm reduces the problem of synthesizing platform linkages with spherical and plane constraints to a twostepped process: null space analysis followed by a generalized eigenvalue problem. An example is provided to show the effectiveness of the algorithm.
UR - https://www.scopus.com/pages/publications/84979008560
U2 - 10.1115/DETC2015-47981
DO - 10.1115/DETC2015-47981
M3 - Conference contribution
AN - SCOPUS:84979008560
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 39th Mechanisms and Robotics Conference
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015
Y2 - 2 August 2015 through 5 August 2015
ER -