A novel algorithm for solving design equations for synthesizing platform linkages

作者：Ge, Xin; Ge, Q J^*; Gao, Feng

来源：ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015, 2015-08-02 To 2015-08-05.

DOI：10.1115/DETC2015-47981

• A-plane
• Design constraints
• Design equation
• Generalized eigenvalue problems
• Geometric design
• Linear structures
• Novel algorithm
• Null space

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.

• 出版日期2015
• 单位上海交通大学; State University of New York at Stony Brook