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Bifurcations at Combination Resonance and Quasiperiodic Vibrations of Flexible Beams

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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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Avramov, K.V. Bifurcations at Combination Resonance and Quasiperiodic Vibrations of Flexible Beams. International Applied Mechanics 39, 976–982 (2003). https://doi.org/10.1023/A:1027472917775

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