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Convex models and probabilistic approach of nonlinear fatigue failure

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  • Qiu, Zhiping
  • Lin, Qiang
  • Wang, Xiaojun

Abstract

This paper is concerned with the nonlinear fatigue failure problem with uncertainties in the structural systems. In the present study, in order to solve the nonlinear problem by convex models, the theory of ellipsoidal algebra with the help of the thought of interval analysis is applied. In terms of the inclusion monotonic property of ellipsoidal functions, the nonlinear fatigue failure problem with uncertainties can be solved. A numerical example of 25-bar truss structures is given to illustrate the efficiency of the presented method in comparison with the probabilistic approach.

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  • Qiu, Zhiping & Lin, Qiang & Wang, Xiaojun, 2008. "Convex models and probabilistic approach of nonlinear fatigue failure," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 129-137.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:1:p:129-137
    DOI: 10.1016/j.chaos.2006.06.015
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    1. Qiu, Zhiping & Müller, Peter C. & Frommer, Andreas, 2001. "Ellipsoidal set-theoretic approach for stability of linear state-space models with interval uncertainty," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(1), pages 45-59.
    2. Qiu, Zhiping & Müller, Peter C. & Frommer, Andreas, 2001. "Stability robustness bounds for linear state–space models with structured uncertainty based on ellipsoidal set-theoretic approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(1), pages 35-53.
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