| 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 | |