Abstract
The equation [Fomula ommited] is a possible dimensionless version of a model for the configuration of a very long strut resting on a nonlinear elastic foundation with axial loading P. By seeking to establish the existence of homoclinic orbits connecting the zero equilibrium, now regarded as defining a four dimensional dynamical system, to itself one is pursuing the so-called ‘dynamical phase-space analogy’ for the spatial configuration suggested by the form of the equation. The existence of homoclinic solutions is then interpreted as indicating the presence of spatially localized buckling of the deformed strut.
Original language | English |
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Pages (from-to) | 97-114 |
Number of pages | 18 |
Journal | European Journal of Applied Mathematics |
Volume | 3 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 1992 |
ASJC Scopus subject areas
- Applied Mathematics