Mathematical Programming Approaches for Interval Structural Behaviour and Stability Analysis
Di Wu, Wei Gao, Chongmin Song and Zhen Luo

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 108, No. 5, pp. 331-373, 2015
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Keywords Structural behaviour; Buckling; Uncertainty; Interval analysis; Structural safety; Mathematical programming.

Two novel mathematical programming approaches are proposed to separately assess non-deterministic behaviour and stability of engineering structures against disparate uncertainties. Within the proposed computational schemes, uncertainties attributed by the material properties, loading regimes, as well as environmental influences are simultaneously incorporated and modelled by the interval approach. The proposed mathematical programming approaches proficiently transform the uncertain structural analyses into deterministic mathematical programs. Two essential aspects of structural analysis, namely linear structural behaviour and bifurcation buckling, have been explicitly investigated. Diverse verifications have been implemented to justify the accuracy and computational efficiency of the proposed approaches through practically motivated numerical examples.

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