Stochastic spline Ritz method based on stochastic variational principle

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • LuFeng Yang
  • A. Y T Leung
  • Liubin Yan
  • C. W Y Wong

Detail(s)

Original languageEnglish
Pages (from-to)455-462
Journal / PublicationEngineering Structures
Volume27
Issue number3
Publication statusPublished - Feb 2005

Abstract

In the previous versions of stochastic variational principles, the virtual displacements are often assumed to vary arbitrarily and independent of any uncertainties. This paper investigates the stochasticity of the virtual displacements via the relationship among virtual displacements, admissible displacements and real displacements. A stochastic variational principle is proposed so that the stochastic properties of the random parameters involved can be incorporated into the functional of the total potential energy. Cubic B-spline functions are employed as the trial functions to reduce the number of degrees of freedom. Then, the stochastic spline Ritz method is developed based on the stochastic variational principle via the second-order perturbation techniques. The spline Ritz method is applied to the structures consisting of elastic beams and plates by a local average of the homogeneous random field. Numerical examples are given to illustrate the efficiency and accuracy of the presented method. © 2004 Elsevier Ltd. Al rights reserved.

Research Area(s)

  • Perturbation technique, Spline Ritz method, Stochastic, Variational principle

Citation Format(s)

Stochastic spline Ritz method based on stochastic variational principle. / Yang, LuFeng; Leung, A. Y T; Yan, Liubin et al.
In: Engineering Structures, Vol. 27, No. 3, 02.2005, p. 455-462.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review