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dc.contributor.authorGe, ZMen_US
dc.contributor.authorYang, CHen_US
dc.contributor.authorChen, HHen_US
dc.contributor.authorLee, SCen_US
dc.date.accessioned2014-12-08T15:43:56Z-
dc.date.available2014-12-08T15:43:56Z-
dc.date.issued2001-04-26en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://dx.doi.org/10.1006/jsvi.2000.3353en_US
dc.identifier.urihttp://hdl.handle.net/11536/29702-
dc.description.abstractThe dynamic behavior of a physical pendulum system of which the support is subjected to both rotation and vertical vibration are studied in this paper. Both analytical and computational results are employed to obtain the characteristics of the system. By using Lyapunov's direct method the conditions of stability of the relative equilibrium position can be determined. Melnikov's method is applied to identify the existence of chaotic motion. The incremental harmonic balance method is used to find the stable and unstable periodic solutions For the strong non-linear system. By applying various numerical results such as phase portrait, Pioncare map. time history and power spectrum analysis, a variety of the periodic solutions and the phenomena of the chaotic motion can be presented. The effects of the changes of parameters in the system could be found in the bifurcation and parametric diagrams. Further, chaotic motion can be verified by using Lyapunov exponent and Lyapunov dimension. The global analysis of basin boundary and fractal structure are observed by the modified interpolated cell mapping method. Besides, non-feedback control, delayed feedback control, adaptive control, and variable structure control are used to control the chaos effectively. (C) 2001 Academic Press.en_US
dc.language.isoen_USen_US
dc.titleNon-linear dynamics and chaos control of a physical pendulum with vibrating and rotating supporten_US
dc.typeArticleen_US
dc.identifier.doi10.1006/jsvi.2000.3353en_US
dc.identifier.journalJOURNAL OF SOUND AND VIBRATIONen_US
dc.citation.volume242en_US
dc.citation.issue2en_US
dc.citation.spage247en_US
dc.citation.epage264en_US
dc.contributor.department機械工程學系zh_TW
dc.contributor.departmentDepartment of Mechanical Engineeringen_US
dc.identifier.wosnumberWOS:000167978500003-
dc.citation.woscount14-
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