The new nonprobabilistic criterion of failure for dynamical systems based on convex models

DOI10.1016/j.mcm.2003.08.006zbMath1112.93038OpenAlexW1994188931MaRDI QIDQ1764969

Andreas Frommer, Zhi-Ping Qiu, Peter C. Müller

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.08.006

zbMATH Keywords

Dynamical systemsInterval analysisFailureConvex modelsNonprobabilistic criterionRobust reliability

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Fracture and damage (74R99) Control of mechanical systems (70Q05) Interval and finite arithmetic (65G30) Linear vibration theory (70J99)

Related Items (8)

Probabilistic interval reliability of structural systems ⋮ The reliability analysis of probabilistic and interval hybrid structural system ⋮ Hybrid reliability analysis of structures with multi-source uncertainties ⋮ Fatigue reliability based on residual strength model with hybrid uncertain parameters ⋮ Non-probabilistic set-theoretic model for structural safety measure ⋮ Comparison of the reliability-based and safety factor methods for structural design ⋮ Reliability evaluation of bridges based on nonprobabilistic response surface limit method ⋮ Probability and convexity concepts are not antagonistic

Cites Work

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• Anti-optimization technique -- a generalization of interval analysis for nonprobabilistic treatment of uncertainty
• Natural frequencies of structures with uncertain but nonrandom parameters
• Comparison of static response of structures using convex models and interval analysis method

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