A dimension-wise method for the static analysis of structures with interval parameters View Full Text


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Article Info

DATE

2014-10

AUTHORS

MengHui Xu, ZhiPing Qiu

ABSTRACT

A novel method for the static analysis of structures with interval parameters under uncertain loads is proposed, which overcomes the inherent conservatism introduced by the conventional interval analysis due to ignoring the dependency phenomenon. Instead of capturing the extremum of the structural static responses in the entire space spanned by uncertain parameters, their lower and upper bounds are calculated at the minimal and maximal point vectors obtained dimension by dimension with respect to uncertain parameters based on the Legend orthogonal polynomial approximation, overcoming the potential engineering insignificance caused by the optimization strategy. After performing its theoretical analysis, both the accuracy and applicability of the proposed method are verified. More... »

PAGES

1934-1945

References to SciGraph publications

  • 2001-12. Interval Arithmetic and Static Interval Finite Element Method in APPLIED MATHEMATICS AND MECHANICS
  • 2013-08. Equivalent method for accurate solution to linear interval equations in APPLIED MATHEMATICS AND MECHANICS
  • 1992-09. On the solution of interval linear systems in COMPUTING
  • Journal

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11433-014-5445-x

    DOI

    http://dx.doi.org/10.1007/s11433-014-5445-x

    DIMENSIONS

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