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Stochastic Analysis of a Beam on Random Foundation with Uncertain Damping Subjected to a Moving Load

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Nonlinear Stochastic Mechanics

Part of the book series: IUTAM Symposia ((IUTAM))

Summary

The steady state vibration of the rail on the foundation with uncertain stiffness and damping is investigated. The stochastic finite element method is employed to the analysis. Basic formulation is reviewed first. Relevant matrices for the analysis are newly formulated. The variances of deflection and bending moment of the rail caused by the uncertainties are evaluated by the first-order perturbation technique and first-order second-moment method. The validity of the method is demonstrated by numerical examples.

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References

  1. Timoshenko, S.P.: Statical and Dynamical Stresses in Rails. Proc. Intern. Congr. Appl. Mech., Zurich, 1926, pp.407–418.

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Author information

Authors and Affiliations

  1. Institute of Theoretical and Applied Mechanics of the Czechoslovak Academy of Sciences, Prague, Czechoslovakia

    L. Fryba

  2. Institute of Industrial Science, University of Tokyo, Tokyo, Japan

    S. Nakagiri & N. Yoshikawa

Authors
  1. L. Fryba
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  2. S. Nakagiri
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  3. N. Yoshikawa
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy

    Nicola Bellomo

  2. Dept. of Structural Mechanics, University of Pavia, Via Abbiategrasso 211, I-27100, Pavia, Italy

    Fabio Casciati

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© 1992 Springer-Verlag Berlin Heidelberg

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Fryba, L., Nakagiri, S., Yoshikawa, N. (1992). Stochastic Analysis of a Beam on Random Foundation with Uncertain Damping Subjected to a Moving Load. In: Bellomo, N., Casciati, F. (eds) Nonlinear Stochastic Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84789-9_19

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  • DOI: https://doi.org/10.1007/978-3-642-84789-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84791-2

  • Online ISBN: 978-3-642-84789-9

  • eBook Packages: Springer Book Archive

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