Nonlinear flexural-flexural-torsional interactions in beams including the effect of torsional dynamics. II: Combination resonance |
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Authors: | C. L. Zaretzky M. R. M. Crespo da Silva |
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Affiliation: | (1) Department of Mechanical Engineering Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, 12180-3590 Troy, NY, U.S.A. |
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Abstract: | In Part I of this work nonlinear coupling between torsional motion and both in-plane and out-of-plane flexural motion was examined for inextensional beams in the presence of a one-to-one internal resonance. Here the nonlinear response of the system considered in Part I is investigated for the case of an internal combination resonance involving modes associated with bending in two directions and torsion. The analysis presented is based on a consistent set of nonlinear differential equations which contain both curvature and inertia nonlinearities and account for torsional dynamics. |
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Keywords: | Beams nonlinear oscillations flexural-torsional dynamics torsional motions nonlinear resonance |
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