Abstract
This work deals with forced vibration of nonlinear rotating composite beams with uniform cross-section. Coupling the Galerkin method with the balance harmonic method, the nonlinear intrinsic and geometrical exact equations of motion for anisotropic beams are converted into a static formulation, which is treated with the continuation method; the asymptotic numerical method, where power series expansions and Padé approximants are used to represent the generalized vector of displacement and the frequency. Response curves are obtained and the nonlinearity is studied for various angular speed. Internal resonance flexion-flexion is found and the angular speed effect on the coupling between modes is investigated.
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Bekhoucha, F., Rechak, S., Duigou, L., Cadou, JM. (2013). Nonlinear Forced Vibrations of Rotating Composite Beams with Internal Combination Resonance. In: Haddar, M., Romdhane, L., Louati, J., Ben Amara, A. (eds) Design and Modeling of Mechanical Systems. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37143-1_20
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DOI: https://doi.org/10.1007/978-3-642-37143-1_20
Publisher Name: Springer, Berlin, Heidelberg
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