contributor author | G. W. Hunt | |
contributor author | M. K. Wadee | |
contributor author | N. Shiacolas | |
date accessioned | 2017-05-08T23:40:24Z | |
date available | 2017-05-08T23:40:24Z | |
date copyright | December, 1993 | |
date issued | 1993 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26352#1033_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/111355 | |
description abstract | Localized solutions, for the classical problem of the nonlinear strut (elastica) on the linear elastic foundation, are predicted from double-scale analysis, and confirmed from nonlinear volume-preserving Runge-Kutta runs. The dynamical phase-space analogy introduces a spatial Lagrangian function, valid over the initial post-buckling range, with kinetic and potential energy components. The indefinite quadratic form of the spatial kinetic energy admits unbounded solutions, corresponding to escape from a potential well. Numerical experimentation demonstrates that there is a fractal edge to the escape boundary, resulting in spatial chaos. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Localized Elasticae for the Strut on the Linear Foundation | |
type | Journal Paper | |
journal volume | 60 | |
journal issue | 4 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2900971 | |
journal fristpage | 1033 | |
journal lastpage | 1038 | |
identifier eissn | 1528-9036 | |
keywords | Struts (Engineering) | |
keywords | Buckling | |
keywords | Chaos | |
keywords | Fractals | |
keywords | Kinetic energy | |
keywords | Potential energy AND Phase space | |
tree | Journal of Applied Mechanics:;1993:;volume( 060 ):;issue: 004 | |
contenttype | Fulltext | |