Stability Analysis of Beam’s Non-Linear Vibration with Time-Delay Feedback Control

Can Chang Liu; Dong Huan Zhang

doi:10.4028/www.scientific.net/AMR.383-390.1090

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 383-390Stability Analysis of Beam’s Non-Linear Vibration...

Stability Analysis of Beam’s Non-Linear Vibration with Time-Delay Feedback Control

Abstract:

The stability control domain of beam’s non-linear vibration with time-delay feedback controller was investigated. The non-linear dynamic equation of beam was expanded into a series of linear equations by multi-scales method. The equations of the phase trajectory could be gotten from secular terms. The conditions of the negative real roots could be calculated by the method of Routh-Hurwitz. The stable time-delay domain of beam’s non-linear vibration was given.

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Periodical:

Advanced Materials Research (Volumes 383-390)

Pages:

1090-1094

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.383-390.1090

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Online since:

November 2011

Authors:

Can Chang Liu, Dong Huan Zhang

Keywords:

Beam, Non-Linear Vibration, Stable Analysis, Time-Delay Feedback Control

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References

[1] Hu Haiyan, Wang Zaihua. Review on nonlinear dynamic systems involving time delays,. Adv. Mech, vol, 29, pp.501-509, Sep. (1999).

Google Scholar

[2] XU Jian, PEi Lijun. Advances in dynamics for delayed system,. Adv. Mech, vol, 36, pp.17-30, Jan. (2006).

Google Scholar

[3] K Sato, Y. Sumio, T. Okimura. Dynamic motion of a nonlinear mechanical system with time delay: Analysis of the self-excited vibration by an averaging method,. Trans JSME, Series C, vol, 685, pp.1861-1866, (1995).

Google Scholar

[4] A .H. Nayfeh, C-M Chin, Pratt J. Perturbation methods in non-linear dynamics: applications to matching dynamics,. J. Manufact Sci Tech, vol, 119, pp.485-493, (1997).

DOI: 10.1115/1.2831178

Google Scholar

[5] H.Y. Hu,E.H. Dowell L.N. Virgin. Resonance of a harmonically forced Duffing oscillators with time delay state feedback,. Non-linear Dyn, vol, 15, pp.311-327, Apr. (1998).

Google Scholar

[6] J. C. JI, A. Y. T. LEUNG. Responses of a non-linear sdof system with two time-delays in linear feedback control,. J. Sound Vib, vol, 253, pp.985-1000, Jan. (2002).

DOI: 10.1006/jsvi.2001.3974

Google Scholar

[7] Qian Changzhao, Tang Jiashi. A time delay control for a nonlinear dynamic beam under moving load,.J. Sound Vib, 309(2008)1-8.

DOI: 10.1016/j.jsv.2006.08.018

Google Scholar

[8] B. Nageswara Rao. Large amplitude free vibrations of simply supported uniform beams with immovable ends,. J. Sound Vib, vol, 155, pp.523-527, Jun. (1992).

DOI: 10.1016/0022-460x(92)90716-b

Google Scholar

[9] S. Nima Mahmoodia, Nader Jalilia, Siamak E. Khadem . An experimental investigation of nonlinear vibration and frequency response analysis of cantilever viscoelastic beams,. J. Sound Vib, vol, 311, p.1409–1419, Apr. (2008).

DOI: 10.1016/j.jsv.2007.09.027

Google Scholar