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Uncertain Linear Systems in Dynamics: Stochastic Approaches

  • Conference paper
IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 27))

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Abstract

This paper provides an overview along with a critical appraisal of available methods for uncertainty propagation of linear systems subjected to dynamic loading. All uncertain structural properties are treated as random quantities by employing a stochastic approach. The loading can be either of deterministic or stochastic nature, described by withe noise, filtered white noise, and more generally, by a Gaussian stochastic process. The assessment of the variability of the uncertain response in terms of the mean and variance is described by reviewing the random eigenvalue problem and procedures to evaluate the first two moments of the stochastic (uncertain) response. Computational procedures which are efficiently applicable for general FE-models are in the focus of this work.

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Authors and Affiliations

  1. Institute of Engineering Mechanics, University of Innsbruck, A-6020, Innsbruck, Austria

    G. I. Schuëller

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  1. G. I. Schuëller
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  2. H. J. Pradlwarter
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Correspondence to G. I. Schuëller .

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Editors and Affiliations

  1. Inst. Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoy Ave. V. O. 61, St. Petersburg, 199178, Russian Federation

    Alexander K. Belyaev

  2. Dept. Engineering, University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, United Kingdom

    Robin S. Langley

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Schuëller, G.I., Pradlwarter, H.J. (2011). Uncertain Linear Systems in Dynamics: Stochastic Approaches. In: Belyaev, A., Langley, R. (eds) IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. IUTAM Bookseries, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0289-9_20

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  • DOI: https://doi.org/10.1007/978-94-007-0289-9_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0288-2

  • Online ISBN: 978-94-007-0289-9

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