Bifurcations at Combination Resonance and Quasiperiodic Vibrations of Flexible Beams |
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Authors: | Avramov K V |
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Institution: | (1) National Technical University (Khar'kov Polytechnic Institute), Khar'kov, Ukraine |
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Abstract: | The nonlinear dynamic behavior of flexible beams is described by nonlinear partial differential equations. The beam model accounts for the tension of the neutral axis under vibrations. The Bubnov–Galerkin method is used to derive a system of ordinary differential equations. The system is solved by the multiple-scale method. A system of modulation equations is analyzed |
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Keywords: | vibrations flexible beam Bubnov– Galerkin method multiple-scale method bifurcations quasiperiodic vibrations |
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