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  • 1
    ISSN: 1573-269X
    Keywords: Beams ; nonlinear oscillations ; flexural-torsional dynamics ; torsional response ; nonlinear resonance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Nonlinear coupling between torsional and both in-plane and out-of-plane flexural motion is examined for inextensional beams (or beam-like structures) whose torsional and flexural eigenfrequencies are of the same order. The analysis presented here is based on a consistent set of nonlinear differential equations which contain both curvature and inertia nonlinearities, and account for torsional dynamics. Response characteristics, including stability, are determined for cantilever beams subjected to a lateral periodic excitation. The beam's response in the presence of a one-to-one internal resonance involving a torsional frequency and an in-plane bending frequency is investigated in detail.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1573-269X
    Keywords: Beams ; nonlinear oscillations ; flexural-torsional dynamics ; torsional motions ; nonlinear resonance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
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