Control of Non-linear vibrations using three-to-one internal resonances

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dc.contributor.author Zhang, Nong en_US
dc.contributor.author Ji, Jc en_US
dc.contributor.editor S.S. Law, L. Cheng, Y. Xia, and Z.Q. Su en_US
dc.date.accessioned 2012-10-12T03:37:48Z
dc.date.available 2012-10-12T03:37:48Z
dc.date.issued 2011 en_US
dc.identifier 2011001327 en_US
dc.identifier.citation Ji Jinchen and Zhang Nong 2011, 'Control of Non-linear vibrations using three-to-one internal resonances', Proceedings of the 14th Asia-Pacific Vibration Conference, 5th-8th December 2011, HongKong, The Hong Kong Polytechnic University, Kowloon, Hong Kong en_US
dc.identifier.issn 978-962-367-733-2 en_US
dc.identifier.other E5 en_US
dc.identifier.uri http://hdl.handle.net/10453/19435
dc.description.abstract A weakly nonlinear vibration absorber is used to suppress the primary resonance vibrations of a single-degree-of-freedom weakly nonlinear oscillator subjected to periodic excitation. The linearized natural frequency (low frequency mode) of the nonlinear absorber is tuned to be approximately one-third of the linearized natural frequency (high frequency mode) of the primary nonlinear oscillator. The cubically nonlinear coupling of stiffness establishes the terms that develop three-to-one internal resonances. The low frequency mode required for the absorber can be achieved by a light-weight mass nonlinear attachment with small values of linear and nonlinear stiffness of coupling. The method of multiple scales is used to obtain the averaged equations that determine the amplitudes and phases of the first-order approximate solutions. Numerical results are given to show the effectiveness of the nonlinear absorber for suppressing nonlinear vibrations of the primary nonlinear oscillator under primary resonance conditions. en_US
dc.language en_US
dc.publisher The Hong Kong Polytechnic University en_US
dc.relation.isbasedon en_US
dc.title Control of Non-linear vibrations using three-to-one internal resonances en_US
dc.parent Proceedings of the 14th Asia-Pacific Vibration Conference, 5th-8th December 2011, HongKong en_US
dc.journal.volume en_US
dc.journal.number en_US
dc.publocation Kowloon, Hong Kong en_US
dc.identifier.startpage 1029 en_US
dc.identifier.endpage 1037 en_US
dc.cauo.name FEIT.School of Elec, Mech and Mechatronic Systems en_US
dc.conference Verified OK en_US
dc.for 090200 en_US
dc.personcode 997749 en_US
dc.personcode 950854 en_US
dc.percentage 100 en_US
dc.classification.name Automotive Engineering en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity 20111201 en_US
dc.location.activity Hong Kong en_US
dc.description.keywords Nonlinear vibration absorber, single degree-of-freedom nonlinear oscillator, three-to-one internal resonances, primary resonance response, passive vibration control, vibration absorber. en_US
dc.staffid en_US
dc.staffid 950854 en_US


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