Multi-Objective Fuzzy Optimization Design of Worm Drive

Abstract:

Fuzzy factors in the worm reducer design are analyzed, and a multi-objective optimization model with minimum volume and maximum bearing capacity is established in this paper. Optimal level cut-set method is introduced to conduct comprehensive evaluation on constraining fuzziness and convert the fuzzy constraint into general constraint according to the actual conditions and requirements; for multi-objectives, single-objective optimal solutions are fuzzified to form fuzzy sets to establish the membership functions of the fuzzy sets by taking the fuzziness between the single objectives and between the single objectives and multiple objectives into consideration, and multi-objective optimal solutions are obtained by maximizing the membership functions of the fuzzy set intersection. For an actual worm reducer, the fuzzy theory and method are applied to obtain results, and the validness of the method is demonstrated by comparing such results with the conventional design data.

• Periodical: Advanced Materials Research (Volumes 753-755)
• Pages: 1503-1509
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.753-755.1503
• Online since: August 2013
• Authors: Xiao Xing Liu, Qi Ying Pan
• Keywords: Fuzzy Mathematics, Multi-Objective Optimization Design, Reducer, Worm Drive

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