Abstract
Large amplitude vibrations from hand held impact machines might bring serious health problems for users in long term. Here, a vibration absorber which works based on the nonlinear tuned mass damper concept is applied to mitigate unpleasant vibrations in a hand held impact machine. A global sensitivity analysis is carried out using multiplicative dimensional reduction method to scrutinize the effects of different components on the hand held impact machine dynamics response and attenuate the number of input parameters for optimization. Based on the global sensitivity analysis results, the nonlinear tuned mass damper components are chosen as the design parameters subject to optimization. A multiobjective optimization problem is formulated and solved using genetic algorithm to reduce vibrations and total weight of the machine. The Pareto optimized solutions are robust against the exciting force amplitude and frequency. The global sensitivity analysis results revealed that it is possible to run the simulations with a constant exciting force amplitude and extend the obtained solutions for the case with a variable exciting force amplitude while the same order of accuracy in the results can be observed. This significantly reduced the computational burden of the optimization. Closed form expressions for the optimal values of the tuned mass damper parameters as well as system response in terms of the auxiliary mass are developed by using the nonlinear least squares method. The results revealed that the proposed technique can significantly suppress the vibrations induced by the hand held impact machine. This makes it possible for users to operate the machine for a longer time period with lower health risks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Yang, Y., Dai, W., Liu, Q.: Design and implementation of two-degree-of-freedom tuned mass damper in milling vibration mitigation. J. Sound Vib. 335(2015), 78–88 (2015). https://doi.org/10.1016/j.jsv.2014.09.032
Li, S., Tang, J.: On vibration suppression and energy dissipation using tuned mass particle damper. J Vib Acoust. 139(011008), 1–10 (2017). https://doi.org/10.1115/1.4034777
Dinh, V.-N., Basu, B.: Passive control of floating offshore wind turbine nacelle and spar vibrations by multiple tuned mass dampers. Struct. Control. Health Monit. 22, 152–176 (2015). https://doi.org/10.1002/stc.1666
Mrabet, E., Guedri, M., Ichchou, M., Ghanmi, S.: New approaches in reliability based optimization of tuned mass damper in presence of uncertain bounded parameters. J. Sound Vib. 355, 93–116 (2015). https://doi.org/10.1016/j.jsv.2015.06.009
Venanzi, I.: Robust optimal design of tuned mass dampers for tall buildings with uncertain parameters. Struct. Multidiscip. Optim. 51, 239–250 (2015). https://doi.org/10.1007/s00158-014-1129-4
Lievens, K., Lombaert, G., Roeck, G.D., den Broeck, P.V.: Robust design of a TMD for the vibration serviceability of a footbridge. Eng. Struct. 123, 408–418 (2016). https://doi.org/10.1016/j.engstruct.2016.05.028
Miguel, L.F.F., Lopez, R.H., Torii, A.J., Miguel, L.F.F., Beck, A.T.: Robust design optimization of TMDs in vehicle–bridge coupled vibration problems. Eng. Struct. 126, 703–711 (2016). https://doi.org/10.1016/j.engstruct.2016.08.033
Tripathi, A., Grover, P., Kalmár-Nagy, T.: On optimal performance of nonlinear energy sinks in multiple-degree-of-freedom systems. J. Sound Vib. 388, 272–297 (2017). https://doi.org/10.1016/j.jsv.2016.10.025
Marano, G.C., Quaranta, G., Greco, R.: Multi-objective optimization by genetic algorithm of structural systems subject to random vibrations. Struct. Multidiscip. Optim. 39(4), 385–399 (2009). https://doi.org/10.1007/s00158-008-0330-8
Ribeiro, E.A., Pereira, J.T., Bavastri, C.A.: Passive vibration control in rotor dynamics: optimization of composed support using viscoelastic materials. J. Sound Vib. 351, 43–56 (2015). https://doi.org/10.1016/j.jsv.2015.04.007
Mousavi Bideleh, S.M., Berbyuk, V., Persson, R.: Wear/comfort Pareto optimisation of bogie suspension. Veh. Syst. Dyn. 54(8), 1053–1076 (2016). https://doi.org/10.1080/00423114.2016.1180405
Ok, S.-Y., Song, J., Park, K.-S.: Development of optimal design formula for bi-tuned mass dampers using multi-objective optimization. J. Sound Vib. 322, 60–77 (2009). https://doi.org/10.1016/j.jsv.2008.11.023
Mohtat, A., Dehghan-Niri, E.: Generalized framework for robust design of tuned mass damper systems. J. Sound Vib. 330, 902–922 (2011). https://doi.org/10.1016/j.jsv.2010.09.007
Greco, R., Marano, G.C., Fiore, A.: Performance–cost optimization of tuned mass damper under low-moderate seismic actions. Struct Des Tall Special Build. 25, 1103–1122 (2016). https://doi.org/10.1002/tal.1300
Detroux, T., Habib, G., Masset, L., Kerschen, G.: Performance, robustness and sensitivity analysis of the nonlinear tuned vibration absorber. Mech. Syst. Signal Process. 60-61, 799–809 (2015). https://doi.org/10.1016/j.ymssp.2015.01.035
Zhang, X., Pandey, M.D.: An effective approximation for variance-based global sensitivity analysis. Reliab. Eng. Syst. Saf. 121, 164–174 (2014)
Mousavi Bideleh, S.M., Berbyuk, V.: Global sensitivity analysis of bogie dynamics with respect to suspension components. Multibody Sys Dyn. 37(2), 145–174 (2016). https://doi.org/10.1007/s11044-015-9497-0
Mousavi-Bideleh, S.M., Berbyuk, V.: Multiobjective optimisation of bogie suspension to boost speed on curves. Veh. Syst. Dyn. 54(1), 58–85 (2016). https://doi.org/10.1080/00423114.2015.1114655
Lindell, H., Berbyuk, V., Josefsson, M., and Grétarsson, S.L.: Nonlinear dynamic absorber to reduce vibration in hand-held impact machines. In International Conference on Engineering Vibration. Ljubljana, Slovenia, pp. 1530–1539 (2015)
Li, G., Rosenthal, C., Rabitz, H.: High dimensional model representations. Chem. A Eur. J. 105, 7765–7777 (2001)
Sobol', I.M.: Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math. Comput. Simul. 55, 271–280 (2001)
Sobol', I.M.: Theorems and examples on high dimensional model representation. Reliab. Eng. Syst. Saf. 79, 187–193 (2003)
Mousavi Bideleh, S.M.: Robustness analysis of bogie suspension components Pareto optimized values. Veh. Syst. Dyn. 55(8), 1189–1205 (2017). https://doi.org/10.1080/00423114.2017.1305115
Mousavi Bideleh, S.M., and Berbyuk, V.: Acomputer code for sensitivity analysis and multiobjective optimization: SAMO tutorial. Research report 2017:01, Chalmers University of Technology, Gothenurg, Sweden
Acknowledgments
This work was financially supported by the Ekman family foundation and the Sweden’s Innovation Agency (VINNOVA) through the project “Noll Vibrationsskador-steg 2” (Dnr: 2015-00352), which are gratefully acknowledged. The authors also would like to thank Hans Lindell and Snævar Leó Grétarsson, Swerea IVF AB, Mölndal, Sweden for interesting communication and fruitful discussions.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Mousavi Bideleh, S.M., Berbyuk, V. (2019). Pareto Optimization of a Nonlinear Tuned Mass Damper to Control Vibrations in Hand Held Impact Machines. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74280-9_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-74280-9_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-74279-3
Online ISBN: 978-3-319-74280-9
eBook Packages: EngineeringEngineering (R0)