Abstract
In this paper an error function for optimum dimensional synthesis of mechanisms using genetic algorithms is presented. This function is general for its use with any mechanism with R and P joints. This minimization function is established as the quadratic addition of the minimum linear or angular distance to the synthesis positions which can be achieved by the mechanism. To get this distance, a non-linear function must be iteratively solved, leading to a high computational cost function. In order to reduce the computational cost, variable complexity functions techniques can be applied. Solutions obtained with this genetic algorithm are a good starting point for further numerical optimization methods.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. Avilés; G. Ajuria; E. Amezua; V. Gomez-Garay, A finite element approach to the position problems in open-loop variable geometry trusses, Finite elements Anal. Design, Vol.34, 2000, pp.233–255
R. Avilés, G. Ajuria, A. Bilbao, J Vallejo, Lagrange multipliers and the primal-dual meted in the nonlinear static equilibrium of multibody systems, Commun. Numer. Math. Eng., Vol.14, 1998, pp.463–472
J.M. Jiménez; G. Álvarez; J. Cardenal; J. Cuadrado, A Simple and General Method for Kinematic synthesis of spatial mechanisms, Mechanism and Machine Theory, Vol.32, No.3, 1997, pp. 323–341
J.R. McGarva, Rapid search and selection of path generating mechanisms from a library, Mech. Mach. Theory, Vol 29, No.2, 1994, pp.223–235.
C. Zhang, R.L. Norton, T. Hammond, Optimization of parameters for specified path generation using an atlas of coupler curves of geared five bar linkages, Mech. Mach. Theory Vol 19, 1984, pp. 459–466.
A. Vasiliu; B. Yannou, Dimensional synthesis of planar mechanisms using neural networks, application to path generator linkages, Mechanism and Machine Theory, Vol 36, No 2, 2001, pp. 299–310
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Kluwer Academic Publishers
About this paper
Cite this paper
de Bustos, I.F., Aguirrebeitia, J., Gomez-Garay, V., Aviles, R. (2004). An Error Function for Optimum Dimensional Synthesis of Mechanisms Using Genetic Algorithms. In: Burczyński, T., Osyczka, A. (eds) IUTAM Symposium on Evolutionary Methods in Mechanics. Solid Mechanics and Its Applications, vol 117. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2267-0_6
Download citation
DOI: https://doi.org/10.1007/1-4020-2267-0_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2266-1
Online ISBN: 978-1-4020-2267-8
eBook Packages: Springer Book Archive