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2013
Impact Factor

Michail Pivovarov

PF 10 05 65, 98684 Ilmenau, Germany
Technische Universität Ilmenau

Publications:

Pivovarov M.
On the Probability of the Outcomes in Buckling of an Elastic Beam
2012, vol. 17, no. 6, pp.  506-511
Abstract
A nonlinear time-varying one-degree-of-freedom system, which is used for the modelling of the buckling of a loaded beam in Euler’s problem, is considered. For a slowly changing load, the deterministic approach in this problem fails if the trajectories pass through the separatrix. An expression for the probability of possible outcomes of the evolution of the oscillations is obtained. The analytical and numerical results are compared.
Keywords: deterministic chaos, separatrix crossing, buckling of beams
Citation: Pivovarov M.,  On the Probability of the Outcomes in Buckling of an Elastic Beam, Regular and Chaotic Dynamics, 2012, vol. 17, no. 6, pp. 506-511
DOI:10.1134/S1560354712060032

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