Abstract
This paper deals with a multi-objective optimization criterion for linear viscous-elastic device utilised for decreasing vibrations induced in mechanical and structural systems by random loads. The proposed criterion for the optimum design is the minimization of a vector objective function. The multi-objective optimization is carried out by means of a stochastic approach. The design variables are the device frequency and the damping ratio. As cases of study, two different problems are analysed: the base isolation of a rigid mass and the tuned mass damper positioned on a multi degree of freedom structural system subject to a base acceleration. The non-dominated sorting genetic algorithm in its second version (NSGA-II) is adopted to obtain the Pareto sets and the corresponding optima for different characterizations of the system and input.
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References
Blickle T, Thiele L (1995) A mathematical analysis of tournament selection. In: Eschelman L (ed) Genetic algorithms: proceedings of the 6th international conference (ICGA95). Morgan Kaufmann, San Francisco, CA, pp 9–16
Coello Coello CA (2000) Handling preferences in evolutionary multiobjective optimization: a survey. In: IEEE Neural Networks Council (ed) Proceedings of the 2000 Congress on Evolutionary Computation (CEC 2000) vol 1. IEEE Service Center, Piscataway, New Jersey, pp 30–37
Constantinou MC, Tadjbakhsh IG (1983) Optimum design of a first story damping system. Comput Struct 17:305–310
Crandal SH, Mark WD (1963) Random vibration in mechanical systems. Academic, NY and London
Deb K, Agrawal RB (1995) Simulated binary crossover for continuous search space. Complex Syst 9:115–148
Deb K, Agrawal S, Pratap A, Meyarivan T (2000) A fast elitism multi-objective genetic algorithm: NSGA-II. Proceedings of parallel problem solving from nature, Sprinter, pp 849–858
Fonseca CM, Fleming PJ (1993) Genetic algorithms for multi-objective optimization: formulation, discussion and generalization. In: Forrest S (ed) Genetic algorithms: proceedings of the 5th international conference, July. Morgan Kaufmann, San Mateo, CA.
Hoang N, Warnitchai P (2005) Design of multiple tuned mass dampers by using a numerical optimizer. Earthq Eng Struct Dyn 34(2):125–144
Lin CC, Wang JF, Ueng JM (2001) Vibration control identification of seismically excited m.d.o.f structure-PTMD systems. J Sound Vib 240(1):87–115
Luh GC, Chuen CH (2004) Multi-objective optimal design of truss structure with immune algorithm. Comput Struct 82:829–844
Lutes LD, Sarkani S (2001) Random vibrations. Butterworth-Heinemann, Oxford (UK)
Nigam NC (1972) Structural optimization in random vibration environment. AIAA J 10:551–553
Papadrakakis M, Lagaros ND, Plevris V (2002) Multiobjective optimization of skeletal structures under static and seismic loading conditions. Eng Opt 34:645–669
Park KS, Koh HM, Hahm D (2004) Integrated optimum design of viscoelastically damped structural systems. Eng Struc 26:581–591
Raghuwanshi MM, Kakde OG (2004) Survey on multiobjective evolutionary and real coded genetic algorithms. Proceedings of the 8th Asia Pacific symposium on intelligent and evolutionary systems, pp 150–161
Rundinger F (2006) Optimum vibration adsorber with nonlinear viscous power law damping and white noise excitation. ASCE J Eng Mech 132(1):46–53
SEAOC (1995) Vision 2000: performance-based seismic engineering of buildings, structural engineers association of California, Sacramento. SEAOC, California
Srinivas N, Deb K (1994) Multi-objective optimization using nondominated sorting in genetic algorithms. J Evol Com 2(3):221–248
Tajimi H (1960) A statistical method of determining the maximum response of a building during earthquake. Proceedings of 2nd World Conf. on Earthquake Engineering, Tokyo, Japan
Takewaki I (2000) An approach to stiffness-damping simultaneous optimization. Comput Methods Appl Mech Eng 189(2):641–650
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Marano, G.C., Quaranta, G. & Greco, R. Multi-objective optimization by genetic algorithm of structural systems subject to random vibrations. Struct Multidisc Optim 39, 385–399 (2009). https://doi.org/10.1007/s00158-008-0330-8
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DOI: https://doi.org/10.1007/s00158-008-0330-8