Abstract
The dynamics behaviour of tension bar with periodic tension velocity was presented. Melnikov method was used to study the dynamic system. The results show that material nonlinear may result in anomalous dynamics response. The subharmonic bifurcation and chaos may occur in the determined system when the tension velocity exceeds the critical value.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Moon F C, Shaw S W Chaotic vibration of a beam with nonlinear boundary conditions [J].Non-Linear Mech, 1983,18(6).
Ramu Anantha S, Sankar T S, Ganesan R. Bifurcations, catastrophes and chaos in a pre-buckled beam [J].Int J Nonlinear Mechanics, 1994,29(3).
ZHAO Jian-hong, CAI Zhong-min. Iterative solution of nonlinear visco-elastic colum under step load [A].Mechanics and Engineering Application [M]. 1994. (in Chinese)
CAI Zhong-min. Inertial behavior of zero degree elastic column under tension with step velocity [J].Engineering Mechanics, 1993 (Supplement). (in Chinese)
Lenci S, Menditto G, Tarantino A. M. The chaotic resonance [J].Eur J Mech Al Solid, 1994,13(6).
Guckenheimer J, Holmes P.Nonlinear Oscillations, Dynamical Systems and Befurcations of Vector Fields [M]. Springer-Verlag, 1983.
Author information
Authors and Affiliations
Additional information
Paper from YANG Gui-tong, Member of Editorial Committee, AMM
Foundation item: the National Natural Science Foundation of China; Natural Science Foundation of Shanxi Province
Biography: ZHANG Nian-mei (1965∼)
Rights and permissions
About this article
Cite this article
Nian-mei, Z., Qiang, H., Gui-tong, Y. et al. Anomalous dynamics response of nonlinear elastic bar. Appl Math Mech 21, 1008–1015 (2000). https://doi.org/10.1007/BF02459310
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02459310