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Borges, R. A.; Lobato, F. S.; Jr, V. Steffen;

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Discrete dynamic vibration absorbers (DVAs) are mechanical devices designed to attenuate the vibration level of different structures and machines. They have been used in several engineering applications, such as ships, power lines, aeronautic structures, civil engineering constructions subjected to seismic induced excitations, among other applications. Traditionally, different approaches based on optimization methods have been proposed to design dynamic vibration absorbers in the mono-objective context. In the present contribution a multi-objective optimization strategy based on the Line-up algorithm is proposed, associated with the Pareto dominance criterion and the crowding distance operator. The test-case analyzed in this work focuses on the theoretical study and numerical simulations of a two degree-of-freedom nonlinear damped system, constituted of a primary mass attached to the ground by a linear spring and the secondary mass attached to the primary system by a nonlinear spring (nDVA). The objectives are both to maximize the attenuation bandwidth and to minimize the amplitude of the system. The results indicate that the proposed approach characterizes an interesting alternative for multi-objective optimization problems as compared with other evolutionary strategies.

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Palavras-chave: Discrete dynamic vibration absorbers, multi-objective optimization, Line-up algorithm.,


DOI: 10.5151/meceng-wccm2012-18458

Referências bibliográficas
  • [1] Deb K., “Multi-Objective Optimization using Evolutionary Algorithms”, John Wiley Andamp; Sons, Chichester, UK, ISBN 0-471-87339-X, 200
  • [2] Steffen Jr V., Rade D. A., “Dynamic Vibration Absorber”, Encyclopedia of Vibration, Academic Press, ISBN 0-12-227085-1, 9-26, 2001.
  • [3] Espíndola J. J., Bavastri C. A., “Viscoelastic Neutralisers in Vibration Abatement: a Nonlinear Optimization Approach”, Revista Brasileira de Ciências Mecânicas, XIX, 2, 154- 163, 1997.
  • [4] Espíndola J. J., Pereira P., Bavastri C. A., “Design of Optimum Systems of Viscoelastic Vibration Absorbers for a Given Material based on the Fractional Calculus Model”, Journal of Vibration and Control, 14, 1607-1630, 2008.
  • [5] Espíndola J. J., Pereira P., Bavastri C.A., “Design of Optimum System of Viscoelastic Vibration Absorbers with a Frobenius Norm Objective Function”, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 31, 210-219, 2009.
  • [6] Nissen J. C., Popp K., Schmalhorst B., “Optimization of a Nonlinear Dynamic Vibration Absorber”, Journal of Sound and Vibration, 99, 1, 149-154, 1985.
  • [7] Pai P. F., Schulz M. J., “A Refined Nonlinear Vibration Absorber”, International Journal of Mechanical Sciences, 42, 537-560, 1998.
  • [8] Rice H. J., McCraith J. R., “Practical Nonlinear Vibration Absorber Design”, Journal of Sound and Vibration, 116, 545-559, 1987.
  • [9] Shaw J., Shaw S. W., Haddow A. G., “On the Response of the Nonlinear Vibration Absorber”, International Journal of Non-linear Mechanics, 24, 281-293, 198
  • [10] Yan L. X., Ph.D. dissertation, University of Chemical Technology, Beijing, 1998.
  • [11] Borges R. A., Lima A. M. G., Steffen Jr V.; “Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis”, Shock and Vibration, 17 2010, 507-520, DOI 10.3233/sav-2010-0544.
  • [12] Nayfeh A. H., “Perturbation Methods”, John Wiley Andamp; Sons, Inc., 2000.
  • [13] Nissen J. C., Popp K., Schmalhorst B., “Optimization of a Nonlinear Dynamic Vibration Absorber”, Journal of Sound and Vibration, 99, 1, 149-154. 1985.
  • [14] Thomsen J. J., “Vibrations and Stability”, Springer-Verlag, 2nd Edition, 2003.
  • [15] Zhu S. J., Zheng Y. F., Fu Y. M., “Analysis of Non-linear Dynamics of a Two Degreeof- Freedom Vibration System with Non-linear Damping and Non-linear Spring”, Journal of Sound and Vibration, 271, 2, 15-24, 1992.
  • [16] Haug E. J., Choi K. K., Komkov V., “Design Sensitivity Analysis of Structural Systems”, Academic Press, 1986.
  • [17] Edgeworth F. Y., “Mathematical Psychics”, P. Keagan, London, England, 1881.
  • [18] Pareto V., “Manuale di Economia Politica”, Societa Editrice Libraria, Milano, Italy. Translated into English by A.S. Schwier as Manual of Political Economy, Macmillan, New York, 1971.
  • [19] Yan L., Ma D., “Global Optimization of Non-convex Nonlinear Programs using Lineup Competition Algorithm”, Computers and Chemical Engineering, 25, 1601–1610, 2001.
  • [20] Sarimveis H., Nikolakopoulos A., “A Line Up Evolutionary Algorithm for Solving Nonlinear Constrained Optimization Problems”, Computers Andamp; Operations Research, 32, 1499-1514, 2005.
  • [21] Yan L., Wei D., Ma D., “Line-up Competition Algorithm for Separation Sequence Synthesis”, Process Systems Engineering, B. Chen and A.W. Westerberg (editors), Published by Elsevier Science B.V, 2003.
  • [22] Sun D., “The Solution of Singular Optimal Control Problems using the Modified Lineup Competition Algorithm with Region-Relaxing Strategy”, ISA Transactions, 49, 106- 113, 2010.
  • [23] Sun D., Huang T., “The Solutions of Time-Delayed Optimal Control Problems by the use of Modified Line-up Competition Algorithm”, Journal of the Taiwan Institute of Chemical Engineers, 41, 54-66, 2010.
  • [24] Lobato F. S., “Multi-objective Optimization to Engineering System Design”, PhD Thesis, School of Mechanical Engineering, Universidade Federal de Uberlândia, Brazil (in Portuguese), 2008.
Como citar:

Borges, R. A.; Lobato, F. S.; Jr, V. Steffen; "MULTI-OBJECTIVE OPTIMIZATION LINE-UP ALGORITHM APPLIED TO THE DESIGN OF A NONLINEAR VIBRATION ABSORBER", p. 1529-1540 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18458

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