Comparison of Classical and Modern Uncertainty Qualification Methods for the Calculation of Critical Speeds in Railway Vehicle Dynamics

Daniele Bigoni, Allan Peter Engsig-Karup, Hans True

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    Abstract

    This paper describes the results of the application of Uncertainty Quantification methods to a railway vehicle dynamical example. Uncertainty Quantification methods take the probability distribution of the system parameters that stems from the parameter tolerances into account in the result. In this paper the methods are applied to a lowdimensional vehicle dynamical model composed by a two-axle bogie, which is connected to a car body by a lateral linear spring, a lateral damper and a torsional spring.
    Their characteristics are not deterministically defined, but they are defined by probability distributions. The model - but with deterministically defined parameters - was studied in [1], and this article will focus on the calculation of the critical speed of the model, when the distribution of the parameters is taken into account.
    Results of the application of the traditional Monte Carlo sampling method will be compared with the results of the application of advanced Uncertainty Quantification methods such as generalized Polynomial Chaos (gPC) [2]. We
    highlight the computational performance and fast convergence that result from the application of advanced Uncertainty Quantification methods. Generalized Polynomial Chaos will be presented in both the Galerkin and Collocation form with emphasis on the pros and cons of each of those approaches
    Original languageEnglish
    Title of host publicationProceedings of 13th Mini Conference on Vehicle System dynamics, Identification and Anomalities
    Number of pages10
    Publication date2012
    Publication statusPublished - 2012
    Event13th Mini Conference on Vehicle System dynamics, Identification and Anomalities - Faculty of Transportation Engineering and Vehicle Engineering - Budapest University of Technology and Economincs, Budapest, Hungary
    Duration: 5 Nov 20127 Nov 2012
    Conference number: 13

    Conference

    Conference13th Mini Conference on Vehicle System dynamics, Identification and Anomalities
    Number13
    LocationFaculty of Transportation Engineering and Vehicle Engineering - Budapest University of Technology and Economincs
    CountryHungary
    CityBudapest
    Period05/11/201207/11/2012

    Keywords

    • Railway vehicle dynamics
    • Nonlinear dynamics
    • Uncertainty quantification
    • Generalized polynomial chaos
    • High-order cubature rules

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