A Robust Optimization Model for Improving Reliability of Tuned Mass Damper

Balanian, Mohsen; Daei, Maryam; Tajmir Riahi, Hossein

doi:10.22060/ceej.2017.12346.5180

A Robust Optimization Model for Improving Reliability of Tuned Mass Damper

Document Type : Research Article

Authors

Department of Civil Engineering, University of Isfahan, Isfahan, Iran

10.22060/ceej.2017.12346.5180

Abstract

ABSTRACT: One of the most promising and effective passive vibration control dampers is the Tuned
Mass Damper (TMD). Many conventional optimization criteria are based on the implicit assumption that all
parameters involved are deterministically known. Removing this assumption means to convert a conventional
optimization into a robust one. In this paper, a model for the robust optimum design of TMD is provided so
that the optimal design of damper by considering the uncertainties possible in the earthquake load and also
the structure properties can be achieved. The structural vibration control of the main system with a single
linear TMD under a stochastic dynamic load is investigated. The dynamic input is represented by a random
base acceleration, modeled by a stationary filtered white noise process. It is assumed that not only mechanical
parameters of the main structure but also the input spectral contents are affected by uncertainty. The standard
deviation of displacement of the protected main structure (dimensionless by dividing to the unprotected one) is
calculated as the deterministic objective function (OF), and to achieve a robust design the mean and standard
deviation of OF are considered as a multi-objective function which shall be minimum. The damping ratio and
the frequency of TMD have been selected as design parameters. The results provide the different choices for
designers to select an optimal TMD based on the priority of minimum mean of the maximum displacement of
the structure or the minimum dispersion in a random space.

Highlights

[1] G.C. Marano, S. Sgobba, R. Greco, M. Mezzina, Robust optimum design of tuned mass dampers devices in random vibrations mitigation, Journal of Sound and Vibration, 313(3-5) (2008) 472-492.

[2] C. Lin, G. Lin, H. Lung, Dynamic test of multiple tuned mass dampers for vibration control of high-rise buildings, in: Tenth US National Conference on Earthquake Engineering, Frontiers of earthquake engineering, 2014.

[3] T. Haskett, B. Breukelman, J. Robinson, J. Kottelenberg, Tuned mass dampers under excessive structural excitation, Report of the Motioneering Inc., Guelph, Ontario, Canada, (2004).

[4] M.G. CARLO, R. Greco, Robust optimization for TMD with uncertain bounded system parameters and stochastic excitation, Asian Journal of Civil Engineering, 9 (2008) 433-455.

[5] H.-G. Beyer, B. Sendhoff, Robust optimization-a comprehensive survey, Computer methods in applied mechanics and engineering, 196(33-34) (2007) 3190- 3218.

[6] N. Nigam, Structural optimization in random vibration environment, AIAA Journal, 10(4) (1972) 551-553.

[7] G.C. Marano, R. Greco, B. Chiaia, A comparison between different optimization criteria for tuned mass dampers design, Journal of Sound and Vibration, 329(23) (2010) 4880-4890.

[8] R. Greco, G.C. Marano, Optimum design of Tuned Mass Dampers by displacement and energy perspectives, Soil dynamics and earthquake engineering, 49 (2013) 243- 253.

[9] S. Chakraborty, B.K. Roy, Reliability based optimum design of tuned mass damper in seismic vibration control of structures with bounded uncertain parameters, Probabilistic Engineering Mechanics, 26(2) (2011) 215- 221.

[10] E. Mrabet, M. Guedri, M. Ichchou, S. Ghanmi, Stochastic structural and reliability based optimization of tuned mass damper, Mechanical Systems and Signal Processing, 60 (2015) 437-451.

[11] E. Mrabet, M. Guedri, S. Ghanmi, M. Soula, M. Ichchou, A Comparison between Two Reliability Based Optimization Strategies of Tuned Mass Damper Parameters under Stochastic Loading, in: Multiphysics Modelling and Simulation for Systems Design and Monitoring, Springer, 2015, pp. 37-46.

[12] S. Sgobba, G.C. Marano, Optimum design of linear tuned mass dampers for structures with nonlinear behaviour, Mechanical Systems and Signal Processing, 24(6) (2010) 1739-1755.

[13] G.C. Marano, R. Greco, S. Sgobba, A comparison between different robust optimum design approaches: application to tuned mass dampers, Probabilistic Engineering Mechanics, 25(1) (2010) 108-118.

[14] C. Zang, M. Friswell, J. Mottershead, A review of robust optimal design and its application in dynamics, Computers & structures, 83(4-5) (2005) 315-326.

[15] Y. Daniel, O. Lavan, Gradient based optimal seismic retrofitting of 3D irregular buildings using multiple tuned mass dampers, Computers & Structures, 139 (2014) 84- 97.

[16] H. Yu, F. Gillot, M. Ichchou, Reliability based robust design optimization for tuned mass damper in passive vibration control of deterministic/uncertain structures, Journal of Sound and Vibration, 332(9) (2013) 2222- 2238.

[17] S.S. Loren D. Lutes, Random Vibrations: Analysis of Structural and Mechanical Systems, Elsevier, Oxford, UK, 2004.

[18] R. Greco, G.C. Marano, Optimum design of Tuned Mass Dampers by displacement and energy perspectives, Soil dynamics and earthquake engineering, 49 (2013) 243-253.

[19] R. Eberhart, J. Kennedy, A new optimizer using particle swarm theory, in: Micro Machine and Human Science, 1995. MHS’95., Proceedings of the Sixth International Symposium on, IEEE, 1995, pp. 39-43.

Keywords

References