Probabilistic Treatment of Structural Problems with Unilateral Constraints

  • A. Baratta
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 304)


In the paper, the problem to find statistics of the response of structures with unilateral constraints when the structural pattern is affected by uncertainty, is approached. In particular, tne case of the elastic beam supported by an underlying rigid soil is investigated, under the assumption that the surface of the soil is not perfectly Known, out is described by a suitable random process. It is shown that if the beam is discretized into a number of finite beam-elements, and only the ordinates of the soil profile under the nodal points are significant, the problem can be solved by the evaluation of. a multidimensional integral. In most cases a Monte-Carlo procedure with “importance sampling” proves to be very efficient for numerical calculation of the above integral.


Soil Profile Nodal Point Structural Problem Importance Sampling Probabilistic Treatment 
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    BARATTA, A.: Non-Linear Truss Reliability by Montecarlo Sampling, Proc. III Int. Conf. “Applications of Statistics and Probability in Soil and Structural Engineering”, vol. I, pp. 136–148, Sydney, Australia, 1979Google Scholar
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    SHREIDER, YU. A.: Method of Statistical Testing, Elsevier Publ. Co., New York, 1964MATHGoogle Scholar
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    DEL PIERO, G. — MACERI, F. (editors): Unilateral Problems in Structural Analysis, Springer-Verlag, Udine (Italy), 1985MATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1987

Authors and Affiliations

  • A. Baratta
    • 1
  1. 1.Facoltà di ArchitetturaUniversity of NaplesItaly

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