Bifurcations of a Thin Plate-Strip Excited Transversally and Axially |
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| Authors: | Awrejcewicz J Krysko V A Narkaitis G G |
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| Institution: | (1) Department of Automatics and Biomechanics, Technical University of Lodz, Stefanowskiego 1/15, PL-90-924 Lodz, Poland;(2) Department of Mathematics, Saratov State University, 41005 Saratov, Russia |
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| Abstract: | The complex vibrations and bifurcations of plates modeled as systemswith infinite degrees-of-freedom are considered. Both theBubnov–Galerkin with high-order approximations and finite differencemethods with approximation O(h
4)are applied. In addition, the calculation ofthe Lyapunov exponents of the system is performed, and the results arecompared to those derived by Bennetin's method. Some examples of newnonlinear phenomena exhibited by the considered systems are reported. |
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| Keywords: | bifurcation chaos plate Bubnov– Galerkin and finite difference methods |
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