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Fourier series representation of the coupler curves of spatial linkages

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Indexed by:期刊论文

Date of Publication:2010-05-01

Journal:APPLIED MATHEMATICAL MODELLING

Included Journals:SCIE、EI、Scopus

Volume:34

Issue:5

Page Number:1396-1403

ISSN No.:0307-904X

Key Words:Spatial linkages; Harmonic component; Coupler curves; Fourier series

Abstract:In this paper, the three-dimensional Fourier series which can describe the coupler curves of spatial linkages are derived. Based on the geometric properties of one-dimensional and two-dimensional Fourier series. a geometric constraint conditions are proposed to establish the three-dimensional Fourier series. The geometric meaning of mechanism for the three-dimensional Fourier series is put forward. Finally, an example is given to show the feasibility and the validity of this approach. (C) 2009 Elsevier Inc. All rights reserved.

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