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A stochastic formulation for eigenproblems in fracture mechanics

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EN
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EN
In the paper a non-statistical approach for eigenproblems of cracked cross-sectional beam systems with random parameters is proposed. The methodology is based on the mean-centered second moment analysis of a random variable expanded in the second-order perturbation form. The system random parameters are defined by their first two statistical moments. A hierarchical system of equations is obtained and solved for the first two statistical moments for the eigenpairs. An exact solution of the first- and second-order sensitivity equations is presented. Analytical and computational issues of the stochastic formulation are discussed. Comprehensive numerical results are given for cantilever and fixed-hinged beams. The efficient technique may be employed directly for a wide class of problems in fracture mechanics.
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  • Technical University of Szczecin, Szczecin, Poland, Faculty of Maritime Technology, Al. Piastów 41, 71-065 Szczecin
Bibliografia
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Bibliografia
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bwmeta1.element.baztech-article-BWM2-0061-0049
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