Abstract
The vibration responses of rotating machines can be affected by the inherent uncertainties of their parameters. Therefore, the study of uncertainty quantification in rotating machines is relevant aiming at both increasing the performance of the machine and preventing failures. Among the various stochastic approaches used to model the uncertainties affecting the system, the stochastic finite element method received attention in the last few years. Uncertain parameters are commonly discretized by using Karhunen-Loève expansion together with Latin Hypercube and Polynomial Chaos. In the present contribution, the uncertain information is treated by using the Latin Hypercube approach. In this context, uncertainty analysis based on stochastic methods is an expensive task when applied to rotating machines of industrial interest. Thus, reduced models become an interesting alternative. The Modal Strain Energy (MSE) approach is commonly used due to the representativeness of the obtained reduced model and computational time savings. In this context, this paper is dedicated to the analysis of the uncertainties that affect the dynamic behavior of a horizontal rotating machine, composed by a flexible shaft containing two rigid discs and supported by two ball bearings. The finite element model of the considered rotor system was reduced by using the MSE approach. The obtained results demonstrated the efficiency of the methodology conveyed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Lalanne M, Ferraris G (1998) Rotordynamics prediction in engineering. Wiley, Chichester
Vance J, Zeidan F, Murphy B (2010) Machinery vibration and rotordynamics. Wiley, Hoboken
Koroishi EH, Cavalini AA Jr, Lima AMG, Steffen V Jr (2012) Stochastics modeling of flexible rotors. J Braz Soc Mech Sci Eng 34:597–603
Cavalini AA Jr, Silva ADG, Lara-Molina FA, Steffen V Jr (2017) Dynamic analysis of a flexible rotor supported by hydrodynamics bearings with uncertain parameters. Meccanica 52:2931
Ghanem RG, Spanos PD (2012) Stochastic finite elements: a spectral approach. Springer, New York
Moller B, Beer M (2004) Fuzzy randomness, uncertainty in civil engineering and computational mechanics. Springer, New York
Didier J, Faverjon B, Sinou JJ (2011) Analysing the dynamic response of a rotor system under uncertain parameters Polynomial Chaos expansion. J Vib Control 18(1):712–732
Lara-Molina FA, Koroishi EH, Steffen V Jr (2015) Uncertainty analysis of flexible rotors considering fuzzy and fuzzy random parameters. Lat Am J Solids Struct 12(10):1807–1823
Cavalini AA Jr, Lara-Molina FA, Sales TP, Koroishi EH, Steffen V Jr (2015) Uncertainty analysis of a flexible rotor supported by fluid film bearings. Lat Am J Solids Struct 12(8):1487–1504
Cavalini AA Jr, Dourado A, Lara-Molina FA, Steffen V Jr (2015) Fuzzy uncertainty analysis of a tilting-pad journal bearing. In: Proceedings of the ASME 2015 international design engineering technical conferences and Computers and information in engineering conference, Boston, pp 1–10
Johnson C, Kienholz D, Rogers L (1980) Finite element prediction of damping in beams with constrained viscoelastic layers. Shock Vib Bull 1:71–81
Rouleau L, Deu J-F, Legay A (2014) Review of reduction methods based on modal projection for highly damped structures. In: Proceeding of the 11th world congress on computational mechanics, Barcelona
Craig RR Jr (1981) Structural dynamics: an introduction to computer methods. Wiley, New York
Viana FAC (2016) A tutorial on Latin Hypercube design of experiments. Qual Reliab Eng Int 32(5):1975–1985
de Lima AMG, Bouhaddi N, Rade DA, Belonsi M (2015) A time-domain finite element model reduction method for viscoelastic linear and nonlinear systems. Lat Am J Solids Struct 12(6):1182–1201
Acknowledgments
The authors are thankful for the Brazilian Research Agencies CAPES, CNPq (574001/2008-5/304546/2017-8) and FAPEMIG (TEC-APQ-022284-15/TEC-APQ-307609) for the financial support provided to this research effort. The authors are also thankful to the companies CERAN, BAESA, ENERCAN, and Foz do Chapecó for the financial support through the R&D project Robust Modeling for the Diagnosis of Defects in Generating Units (02476-3108/2016).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Gonçalves, D.F., da Costa, T.N., Borges, R.A., Cavalini, A.A., Steffen, V. (2019). Modal Strain Energy Approach Applied in an Uncertainty Propagation Analysis Dedicated to Rotating Machines. In: Cavalca, K., Weber, H. (eds) Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM. IFToMM 2018. Mechanisms and Machine Science, vol 63. Springer, Cham. https://doi.org/10.1007/978-3-319-99272-3_33
Download citation
DOI: https://doi.org/10.1007/978-3-319-99272-3_33
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-99271-6
Online ISBN: 978-3-319-99272-3
eBook Packages: EngineeringEngineering (R0)