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Nonlinear flexural-flexural-torsional interactions in beams including the effect of torsional dynamics. II: Combination resonance

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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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References

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Authors and Affiliations

  1. Department of Mechanical Engineering Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, 12180-3590, Troy, NY, U.S.A.

    C. L. Zaretzky & M. R. M. Crespo da Silva

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  1. C. L. Zaretzky
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  2. M. R. M. Crespo da Silva
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Zaretzky, C.L., Crespo da Silva, M.R.M. Nonlinear flexural-flexural-torsional interactions in beams including the effect of torsional dynamics. II: Combination resonance. Nonlinear Dyn 5, 161–180 (1994). https://doi.org/10.1007/BF00045674

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  • DOI: https://doi.org/10.1007/BF00045674

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