Abstract
Designing large-scale systems in which parametric uncertainties and localized nonlinearities are incorporated requires the implementation of both uncertainty propagation and robust model condensation methods. In this context, we propose to propagate uncertainties through a model, which combines the statistical Latin Hypercube Sampling (LHS) technique and a robust condensation method. The latter is based on the enrichment of a truncated eigenvectors bases using static residuals taking into account parametric uncertainty and localized nonlinearity effects. The efficiency, in terms of accuracy and time consuming, of the proposed method is evaluated on the nonlinear time response of a 2D frame structure.
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References
Helton, J.C., Davis, F.J.: Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. Reliability Engineering and System Safety 81, 23–69 (2003)
Rubinstein, R.-Y.: Simulation and the Monte Carlo methods. John Wiley & Sons (1981)
Balmès, E.: Parametric families of reduced finite element models. Theory and applications. Mechanical Systems and Signal Processing 10(4), 381–394 (1996)
Masson, G., Ait Brik, B., Cogan, S., Bouhaddi, N.: Component mode synthesis CMS based on an enriched Ritz approach for efficient structural optimization. Journal of Sound and Vibration 296(4-5), 845–860 (2006)
Segalman, D.J.: Model reduction of systems with localized nonlinearities. ASME Journal of Computational and Nonlinear Dynamics 2(3), 249–266 (2007)
Bouazizi, M.L., Guedri, M., Bouhaddi, N.: Robust component modal synthesis method adapted to the survey of the dynamic behavior of structures with localized nonlinearities. Mechanical Systems and Signal Processing 20, 131–157 (2006)
Guedri, M., Bouhaddi, N., Majed, R.: Reduction of the stochastic finite element models using a robust dynamic condensation method. Journal of Sound and Vibration 297, 123–145 (2006)
Maute, K., Weickum, G., Eldred, M.: A reduced-order stochastic finite element approach for design optimization under uncertainty. Structural Safety 31, 450–459 (2009)
Gérardin, M., Rixen, D.: Mechanical Vibrations: Theory and Application to Structural Dynamics, 2nd edn. John Wiley & Sons (1997)
Hemez, F.M., Doebling, S.W.: From shock response spectrum to temporal moments and vice-versa. In: International Modal Analysis Conference (IMAC-XXI), Kissirnmee, Florida, February 3-6 (2003)
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Chikhaoui, K., Bouhaddi, N., Kacem, N., Guedri, M., Soula, M. (2015). Uncertainties Propagation through Robust Reduced Model. In: Chouchane, M., Fakhfakh, T., Daly, H., Aifaoui, N., Chaari, F. (eds) Design and Modeling of Mechanical Systems - II. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-17527-0_53
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DOI: https://doi.org/10.1007/978-3-319-17527-0_53
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17526-3
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