Nonlinear vibration and of the Duffing oscillator to parametric excitation with time delay feedback

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dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorKotb, A. A
dc.contributor.authorEL-Sayed, A. T
dc.contributor.authorAmer, Y. A
dc.date.accessioned2019-12-03T06:10:44Z
dc.date.available2019-12-03T06:10:44Z
dc.date.issued2016-09
dc.descriptionAccession Number: WOS:000382399000026en_US
dc.description.abstractThe aim of this paper was to study the nonlinear vibrations of a parametric excited Duffing oscillator with time delay feedback. At some values of the time delay can be used to suppress the vibration of the nonlinear system. The method of multiple scales perturbation is applied to obtain the analytical solution of the system and the frequency response equation near sub-harmonic resonance case. The stability of the obtained nonlinear solution is studied and solved numerically. The effects of the different parameters of the system behavior are investigated. Analytical solution in this paper is in good agreement with the numerical simulation.en_US
dc.identifier.doihttps://doi.org/10.1007/s11071-016-2840-z
dc.identifier.issn0924-090X
dc.identifier.otherhttps://doi.org/10.1007/s11071-016-2840-z
dc.identifier.urihttps://link.springer.com/article/10.1007/s11071-016-2840-z
dc.language.isoen_USen_US
dc.publisherSpringeren_US
dc.relation.ispartofseriesNONLINEAR DYNAMICS;Volume: 85 Issue: 4 Pages: 2497-2505
dc.relation.urihttps://t.ly/BO3vB
dc.subjectUniversity for CHAOSen_US
dc.subjectABSORBERen_US
dc.subjectSUPPRESSIONen_US
dc.subjectSYSTEMen_US
dc.subjectStabilityen_US
dc.subjectTime delayen_US
dc.subjectSub-harmonic resonanceen_US
dc.subjectMultiple scales perturbationen_US
dc.subjectDuffing oscillatoren_US
dc.titleNonlinear vibration and of the Duffing oscillator to parametric excitation with time delay feedbacken_US
dc.typeArticleen_US

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