Reliable Computing

, Volume 13, Issue 2, pp 125–147 | Cite as

Formulation for Reliable Analysis of Structural Frames

  • George Corliss
  • Christopher Foley
  • R. Baker Kearfott
Article

Abstract

Structural engineers use design codes formulated to consider uncertainty for both reinforced concrete and structural steel design. For a simple one-bay structural steel frame, we survey typical uncertainties and compute an interval solution for displacements and forces. The naive solutions have large over-estimations, so we explore the Mullen-Muhanna assembly strategy, scaling, and constraint propagation to achieve tight enclosures of the true ranges for displacements and forces in a fraction of the CPU time typically used for simulations. That we compute tight enclosures, even for large parameter uncertainties used in practice, suggests the promise of interval methods for much larger structures.

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Copyright information

© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  • George Corliss
    • 1
  • Christopher Foley
    • 1
  • R. Baker Kearfott
    • 2
  1. 1.Electrical and Computer EngineeringMarquette UniversityMilwaukeeUSA
  2. 2.Department of MathematicsUniversity of Louisiana at LafayetteLafayetteUSA

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