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论文类型：期刊论文

发表时间：2012-12-01

发表刊物：APPLIED MATHEMATICAL MODELLING

收录刊物：Scopus、SCIE、EI

卷号：36

期号：12

页面范围：6001-6010

ISSN号：0307-904X

关键字：Dimensional synthesis of mechanism; Linkage mechanism; Fourier series; Harmonic analysis

摘要：The article presents output expressions of linkage mechanism in general mathematical form. The harmonic components of the mathematical expressions are analyzed by using the Fourier series theory. The relationship between the harmonic component and the harmonic characteristic parameters of coupler rotation-angle operator is discovered. Based on this relationship, a unified approach to establish the numerical atlas database is given. The unified derivation process of formula, which can compute the actual dimensions and installation parameters of linkage mechanism, is presented. The concepts of the coupler rotation-angle operator, the harmonic output characteristic parameters of dimensional type, the mechanism's basic dimensional types and the harmonic dimension characteristic parameters of dimensional type are defined. Based on these definitions and the concrete steps of harmonic characteristic parameter method, the unified model is set up for the dimensional synthesis of linkage mechanism from planar, spherical to spatial motion. (C) 2012 Elsevier Inc. All rights reserved.