Application of genetic algorithm and Fourier coefficients (GA-FC) in mechanism synthesis

• Autorzy: Starosta R.

Warianty tytułu

PL

Zastosowanie algorytmu genetycznego i współczynnika Fouriera (GA-FC) w syntezie mechanizmów

• Języki publikacji: EN

Abstrakty

EN

The paper concerns synthesis of a four-bar linkage as a curve generator. Fourier coefficients of the curvature are applied to represent a closed curve. A genetic algorithm (GA) was adapted to solve the problem. The proposed method was successfully verified by many examples.

PL

Rozważanym zagadnieniem jest synteza czworoboku przegubowego jako generatora krzywej. Zastosowano nowy sposób reprezentowania krzywej zamkniętej za pomocą współczynników Fouriera. Do rozwiązania zadania został zaadaptowany algorytm genetyczny. Proponowana metoda została z sukcesem przetestowana na przykładach.

Słowa kluczowe

EN

evolutionary algorithms; mechanism synthesis

PL

algorytmy ewolucyjne; synteza mechanizmów

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2008
• Tom: Vol. 46 nr 2
• Strony: 395--411
• Opis fizyczny: Bibliogr. 17 poz., rys., tab.

Twórcy

autor

Starosta R.

• PoznanUniversity of Technology, Institute of Applied Mechanics, Poznan, Poland,

Bibliografia

• 1. Białas-Heltowski K., Klekiel T., Rohatyński R., 2004, Investigation of evolutionary algorithm effectiveness in optimal synthesis of certain mechanism, IUTAM Symposium on Evolutionary Methods in Mechanics, T. Burczyński and A. Osyczka (Edit.), Kluwer Academic Publishers Dordrecht, 13-22
• 2. Burczyński T., Kokot G., 1998, Topology optimization using boundary elements and genetic algorithms, Proceeding of the Fourth Congress on Computational Mechanics, New Trends and Applications, Idelsohn S.R., Onate E., Dvorkin E.N. (Edit.), on CD, Barcelona
• 3. Burczyński T., Kokot G., 2003, Evolutionary algorithms and boundary element method in generalized shape optimization, Journal of Theoretical and Applied Mechanics, 41, 2, 341-364
• 4. Buśkiewicz J., 2006, Synthesis of workspace by using angle derivative function (ADF), 77th Annual Meeting of GAMM, Book of Abstracts, Berlin
• 5. Cabrera J.A., Simon A., Prado M., 2002, Optimal synthesis of mechanisms with genetic algorithms, Mech. Mach. Theory, 37, 1165-1177
• 6. Fang W.E., 1994, Simultaneous type and dimensional synthesis of mechanisms by genetic algorithms-DE, Mechanism Synthesis Analysis, 70
• 7. Goldberg D.E., 1989, Genetic Algorithms in Search, Optimization and Machine Learning, Addison Wesley, Massachusetts
• 8. Goldberg D.E., 2003, Algorytmy genetyczne i ich zastosowania, WNT, Warszawa
• 9. Kunjur A., Krishnamurty S., 1997, Genetic algorithms in mechanical synthesis, Journal of Applied Mechanisms and Robotics, 4, 2, 18-24
• 10. Laribi M.A., Mlika A., Romdhane L., Zeghloul S., 2004,Combined genetic algorithm-fuzzy logic method (GA-FL) in mechanisms synthesis, Mechanism and Machine Theory, 39, 717-735
• 11. Michalewicz Z., 1992, Genetic Algorithms+Data Structures=Evolutionary Programs, Springer-Verlag, AI Series, New York
• 12. Michalewicz Z., Logan T.D., Swaminathan S., 1994, Evolutionary operators for continuous convex parameter spaces, Proc. of the 3rd Annual Conference on Evolutionary Programming, A.V. Sebald, L.J. Fogel (Edit.), World Scientific Publishing, River Edge, NJ, 84-97
• 13. Michalewicz Z., Nazhiyath G., Michalewicz M., 1996, A note of usefulness of Geometrical Crossover for Numerical Optimization Problems, Proc. of the 5th Annual Conference on Evolutionary Programming, San Diego, CA
• 14. Sokołowski M., Żochowski A., 1999, On the topological derivative in shape optimization, SIAM Journal on Control and Optimization, 37, 1251-1272
• 15. Starosta R., 2006, On some application of genetic algorithm in mechanism synthesis, 77th Annual Meeting of GAMM, Book of Abstracts, Berlin
• 16. Vasiliu A., Yannou B., 2001, Dimensional synthesis of planar mechanisms using neural networks: application to path generator linkages, Mechanism and Machine Theory, 36, 299-310
• 17. Walczak T., 2006, Mechanism synthesis with the use of neural network, 77th Annual Meeting of GAMM, Book of Abstracts, Berlin