Formulation for Reliable Analysis of Structural Frames |
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Authors: | George Corliss Christopher Foley R Baker Kearfott |
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Affiliation: | (1) Electrical and Computer Engineering, Marquette University, PO Box 1881, 1515 W. Wisconsin Ave., Milwaukee, WI 53201–1881, USA;(2) Department of Mathematics, University of Louisiana at Lafayette, Box 4-1010, Lafayette, LA 70504–1010, USA |
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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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