Model and Dynamics Analysis of a New Oscillator under Gravity

Article Preview

Abstract:

A mathematical modal for a new oscillator under Gravity is gived by The Second Law of Neton and proved the correctness by The Energy Method .We obtained a equation for the equilibrium point of system by the definition .We observe the dynamics action by the Hamilton function.Meanwhile the phase trajectories and the Poincaré sections are also presented. The analysis shows the complicated nonlinear dynamics with periodic motion in some special case.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 694-697)

Pages:

105-108

Citation:

Online since:

May 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Pavlovskaia E, Karpenko E V, Wiercigroc h M. J. Sound Vib. (2004)

Google Scholar

[2] Cao Q, Wiercigroch M, Pavlovskaia E E, et a1., Phil. Trans. R. Soc. A, 2008, Vol. 366

Google Scholar

[3] Qichang Zhang et al. The theory and application of the chaos and bifurcation, Tianjin: Tianjing University Press, 2005 (In Chinese)

Google Scholar

[4] Aqi Zheng, Practical Course of MATLAB,Beijing: Electronic Industry Press,2004(In Chinese)

Google Scholar