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Design of cable-driven parallel manipulators for a specific workspace using interval analysis
Authors:Houssein Lamine  Sami Bennour  Lotfi Romdhane
Affiliation:1. Mechanical Laboratory of Sousse (LMS), National Engineering School of Sousse, University of Sousse, Sousse 4000, Tunisia;2. Mechanical Engineering Department, American University of Sharjah, PO Box 26666, Sharjah, United Arab Emirates
Abstract:In this paper, we present a method, based on interval analysis, to solve the problem of designing cable-driven parallel manipulators (CDPMs) for a desired workspace. The constraint of having positive cable tensions ensuring the equilibrium of the platform has to be satisfied within the given workspace. The proposed algorithm is based on interval analysis, which covers the entire workspace and hence guarantees a singularity-free workspace. Furthermore, the algorithm is capable of finding all possible solutions for this problem and an optimal one is selected according to the user-defined criterion. Two examples are selected to show the efficiency of the developed algorithm in solving this complex problem. The first one deals with the design of a planar CDPM and the second one considers a spatial CDPM. In both cases, the algorithm succeeded to find all possible designs from which the designer can select a solution that fits best his application.
Keywords:Cable-driven parallel manipulator (CDPM)  design optimization  interval analysis  wrench-feasible workspace
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