Size-dependent internal resonances and modal interactions in nonlinear dynamics of microcantilevers
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DOI: 10.1007/s10999-017-9365-6
Abstract: The size-dependent internal energy transfer in the nonlinear dynamical behaviour of a microcantilever with an intermediate spring-support is investigated. A geometric size-dependent nonlinearity due to large changes in the curvature is taken into account in… read more here.
Keywords: dependent internal; size dependent; energy; internal resonances ... See more keywords
Multifrequency excitation of an inclined marine riser under internal resonances
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DOI: 10.1007/s11071-019-05136-w
Abstract: We study the multifrequency excitation of an inclined marine riser under two-to-one and three-to-one internal resonances. The riser model accounts for the initial static deflection, self-weight, and mid-plane stretching nonlinearity. By tuning the initial applied… read more here.
Keywords: resonance; multifrequency excitation; riser; internal resonances ... See more keywords
On the study of nonlocal effect on the internal resonances of axial oscillation of nanorods
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DOI: 10.1007/s40430-021-03104-3
Abstract: This study aims to consider the nonlocal effect on internal resonances of nanorods in nonlinear axial vibration. To this end, the nonlocal nonlinear governing equation of motion and boundary conditions are derived by implementing Hamilton’s… read more here.
Keywords: study nonlocal; internal resonances; resonances axial; effect internal ... See more keywords
Internal resonances among the first three modes of a hinged–hinged beam with cubic and quintic nonlinearities
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DOI: 10.1016/j.ijnonlinmec.2020.103592
Abstract: Abstract This paper presents a derivation of a hinged–hinged Euler–Bernoulli beam including cubic and quintic nonlinearities. Then, a three-mode Galerkin discretization technique has been utilized to generate a system of ordinary differential equations governing the… read more here.
Keywords: resonances among; internal resonances; hinged hinged; quintic nonlinearities ... See more keywords
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration
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DOI: 10.1177/10812865221102326
Abstract: In this paper, effects of the surface energy on the nonlinear torsional vibrations and internal resonances of nanorods are investigated. To this end, the second-order term with respect to angle of rotation is considered for… read more here.
Keywords: surface energy; nonlinear torsional; internal resonances; energy ... See more keywords