Non-probabilistic convex models and interval analysis method for dynamic response of a beam with bounded uncertainty

DOI10.1016/j.apm.2009.06.013zbMath1185.74029OpenAlexW2032766071MaRDI QIDQ967859

Juxi Hu, Zhi-Ping Qiu

Publication date: 2 May 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.06.013

zbMATH Keywords

uncertaintydynamic responseinterval analysis methodconvex model methodinfinitely long beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Random vibrations in dynamical problems in solid mechanics (74H50)

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Cites Work

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• Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval
• Comparison of dynamic responses of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach.
• Two non-probabilistic set-theoretical models for dynamic response and buckling failure measures of bars with unknown-but-bounded initial imperfections
• Axial Impact Buckling of a Column With Random Initial Imperfections
• Stochastic Finite Elements for a Beam on a Random Foundation with Uncertain Damping Under a Moving Force

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