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ArticleProbability and convexity concepts are not antagonistic

Xiaojun Wang2011

Article2011

Probability and convexity concepts are not antagonistic

Xiaojun Wang · Lei Wang · Isaac E. Elishakoff · Zhiping Qiu

63 citations·0/0 files stored·Acta Mechanica

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Probabilistic and Robust Engineering Design Geotechnical Engineering and Analysis Structural Integrity and Reliability Analysis

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References

1990Convex Models of Uncertainty in Applied Mechanics 2004Challenge problems: uncertainty in system response given uncertain parameters 1995Discussion on: A non-probabilistic concept of reliability 2010Optimization and Anti-Optimization of Structures Under Uncertainty 2008Non-probabilistic set-theoretic model for structural safety measure 1998Three Versions of the Finite Element Method Based on Concepts of Either Stochasticity, Fuzziness, or Anti-Optimization

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2016Reliability-based design optimization under mixture of random, interval and convex uncertainties 2019Non-probabilistic kinematic reliability analysis of planar mechanisms with non-uniform revolute clearance joints 2018Hybrid time-variant reliability estimation for active control structures under aleatory and epistemic uncertainties 2015Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process 2012The encounter of interval and probabilistic approaches to structural reliability at the design point 2020Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads

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Year2011

Typearticle

Published2011-01-21

VenueActa Mechanica

ISSN-L0001-5970

Languageen

Citations63

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1007/s00707-010-0440-4

openalex_workW1973152305

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2019

Some significant improvements for interval process model and non-random vibration analysis method

2014An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs