文档介绍:Mechanism and Machine Theory 44 (2009) 1132–1143
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Mechanism and Machine Theory
journal homepage: ate/mechmt
Shape optimization for path synthesis of crank-rocker mechanisms
using a wavelet-based work
Gloria Galán-Marín *, Francisco J. Alonso, José M. Del Castillo
Department of Mechanical, Energetic and Materials Engineering, University of Extremadura, Avda. de Elvas s/n, 06071, Badajoz, Spain
article info abstract
Article history: Some recent developments in path generation have been based on work mech-
Received 21 August 2007 anism databases, which instantaneously provide an approximate solution of the synthesis
Received in revised form 11 September problem. We describe a way to reduce the design space, ensuring that the work
2008
always yields a consistent crank-rocker mechanism with optimal transmission angle.
Accepted 12 September 2008
Moreover, instead of the usual strategy of using Fourier coefficients, we propose a new
Available online 26 October 2008
method based on wavelet descriptors to represent the shape of the path, where the points
do not need to be sampled at a constant time interval. Numerical results demonstrate the
superiority of this wavelet-based work over the Fourier-work in finding
Keywords:
Synthesis of mechanisms the optimal mechanism. They also show the accuracy of the proposed approach in provid-
Path generation ing near optimal crank-rocker mechanism solutions for path generation.
Wavelets Ó 2008 Elsevier Ltd. All rights reserved.
works
Grashof condition
Transmission angle
1. Introduction
The dimensional synthesis of path generating mechanisms requires determining the linkage dimensions so that a point
on the coupler link traces out the desired trajectory. The typical choice is a four-bar linkage. Some recent approaches have
applied intelligent optimization techniques such as tabu-search, ic algorithms, or ant systems, sometimes bina-
tion with gradient or fuzzy