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dc.contributor.author
Febbo, Mariano
dc.date.available
2018-12-10T12:31:34Z
dc.date.issued
2011-06
dc.identifier.citation
Febbo, Mariano; Harmonic response of a class of finite extensibility nonlinear oscillators; IOP Publishing; Physica Scripta; 83; 6; 6-2011; 65009-65021
dc.identifier.issn
0031-8949
dc.identifier.uri
http://hdl.handle.net/11336/66138
dc.description.abstract
Finite extensibility oscillators are widely used to simulate those systems which can not be extended to infinity. For example, they are used when modelling the bonds between molecules in a polymer or DNA molecule or when simulating filaments of non-Newtonian liquids. In this work, the dynamic behavior of a harmonically driven finite extensibility oscillator is presented and studied. To this end, the harmonic balance method is applied to determine the amplitude-frequency and the amplitude-phase equations. The distinguishable feature in this case is the bending of the amplitude-frequency curve to the frequency axis, making it to approach asymptotically to the limit of maximum elongation of the oscillator, which physically represents the impossibility for the system<br />to reach this limit. Also, the stability condition which defines stable and unstable steady-states solutions is derived. The study of the effect of the system parameters in the response reveals that a decreasing value of damping coefficient or an increasing value of excitation amplitude leads to the appearance of a multi-valued response and to the existence of a jump phenomenon. In this sense, the critical amplitude of the excitation, which refers to here as a certain value of external excitation that results in the occurrence of jump phenomena, is also derived. Numerical experiments to observe the effects of the system parameters on the frequency-amplitude response are performed to compare them to analytical calculations. For a low value of damping coefficient or a high value of excitation amplitude the agreement is poor for low frequencies but good for high frequencies.<br />It is demonstrated that the disagreement is caused by neglecting the higher-order harmonics in the analytical formulation. These higher-order harmonics, which appear as distinguishable peaks at certain values in the frequency response curves, are possible to calculate considering not the linearized frequency of the oscillator but its actual frequency which is strongly amplitude-dependent. On the other side, for a high value of damping coefficient or a low value of excitation amplitude, the agreement between numerical and analytical calculations is excellent. For these cases, the system is prevented to explore large amplitudes of vibration and, therefore, the<br />nonlinearity is not too much manifested.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Harmonic Response
dc.subject
Finite Extensibility
dc.subject
Nonlinear Oscillator
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Harmonic response of a class of finite extensibility nonlinear oscillators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-11-21T16:55:46Z
dc.journal.volume
83
dc.journal.number
6
dc.journal.pagination
65009-65021
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Febbo, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
dc.journal.title
Physica Scripta
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/0031-8949/83/06/065009
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0031-8949/83/06/065009/meta
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