Bifurcation and chaos of rectangular moderately thick cracked plates on an elastic foundation subjected to periodic load

Yong-Gang Xiao, Yi-Ming Fu and Xu-Dong Zha

Chaos, Solitons & Fractals, 2008, vol. 35, issue 3, 460-465

Abstract: Based on Reissner plate theory and Hamilton variational principle, the nonlinear equations of motion are derived for the rectangular moderately thick plates with transverse surface penetrating crack on an elastic foundation under the action of periodic load. Suitable expressions of trial functions satisfying all boundary conditions and crack’s continuous conditions are proposed. The nonlinear equations are solved by using the Galerkin and the Runge–Kutta integration methods. Possible bifurcation and chaos behaviors of the system are analyzed. The influence of the different locations and depths of cracks and external loads on the bifurcation and chaos behaviors of the rectangular moderately thick plates with freely supported boundary is investigated numerically.

Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906004863
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:3:p:460-465

DOI: 10.1016/j.chaos.2006.04.074

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().