This paper compares the frequency-amplitude relationship for nonlinear oscillations of a geometrically nonlinear model of a slender beam in the absence of damping with the corresponding predictions from the Mettler model for the transverse motion. In particular, the analysis shows that the Mettler model fails to account for a constant, amplitude-independent shift in the nonlinear frequency relative to the linear frequency caused by rotary inertia terms. Copyright © 2010 by ASME.

Zeroth-order corrections to the Euler-Bernoulli beam model / Harry, Dankowicz; Lacarbonara, Walter. - 5:(2010), pp. 827-833. ((Intervento presentato al convegno ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010 tenutosi a Montreal, QC nel 15 August 2010 through 18 August 2010 [10.1115/detc2010-28314].

Zeroth-order corrections to the Euler-Bernoulli beam model

LACARBONARA, Walter
2010

Abstract

This paper compares the frequency-amplitude relationship for nonlinear oscillations of a geometrically nonlinear model of a slender beam in the absence of damping with the corresponding predictions from the Mettler model for the transverse motion. In particular, the analysis shows that the Mettler model fails to account for a constant, amplitude-independent shift in the nonlinear frequency relative to the linear frequency caused by rotary inertia terms. Copyright © 2010 by ASME.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/54727
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