Abstract
The chaotic motions of axial compressed nonlinear elastic beam subjected to transverse load were studied. The damping force in the system is nonlinear. Considering material and geometric nonlinearity, nonlinear governing equation of the system was derived. By use of nonlinear Galerkin method, differential dynamic system was set up. Melnikov method was used to analyze the characters of the system. The results showed that chaos may occur in the system when the load parameters Po and f satisfy some conditions. The zone of chaotic motion was belted. The route from subharmonic bifurcation to chaos was analyzed. The critical conditions that chaos occurs were determined.
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. Experiments on chaotic motions of a forced nonlinear oscillator: stranger attractors[J].J Appl Mech, 1988,55:190–196.
Panida Dinca Baran. Mathematical modes used in study the chaotic vibration of buckled beams[J].Mechanics Research Communications, 1984,29(2):189–196.
ZHANG Nian-mei, YANG Gui-tong. Dynamic subharmonic bifurcation and chaos of nonlinear elastic beam[J].J Nonlinear Dynamic, 1996,3(2):265–274. (in Chinese)
Author information
Authors and Affiliations
Additional information
Contributed by Yang Gui-tong
Foundation item: the National Natural Science Foundation of China (10172063)
Biography: Zhang Nian-mei (1965 -)
Rights and permissions
About this article
Cite this article
Nian-mei, Z., Gui-tong, Y. Chaotic belt phenomena in nonlinear elastic beam. Appl Math Mech 24, 509–513 (2003). https://doi.org/10.1007/BF02435862
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02435862