Open Access

ARTICLE

The Effect of a Rotational Spring on the Global Stability Aspects of the Classical von Mises Model under Step Loading

D. S. Sophianopoulos¹, G. T. Michaltsos²

1 Doctor, Research Fellow (corresponding author, email: dimisof@central.ntua.gr), Metal Structures Lab, Department of Civil Engineering, National Technical University of Athens, 42 Patision Str., 106 82 Athens, Greece
2 Associate Professor, Metal Structures Lab, Department of Civil Engineering, National Technical University of Athens, 42 Patision Str., 106 82 Athens, Greece

Computer Modeling in Engineering & Sciences 2001, 2(1), 15-26. https://doi.org/10.3970/cmes.2001.002.015

Abstract

The present work deals with the global stability aspects of a simple two-degrees-of-freedom autonomous initially imperfect damped model, under step (conservative) loading. The proposed system is an extension of the classical limit point one firstly introduced by von Mises, with the addition of a linear rotational spring. The effect of its properties (stiffness and damping) are fully assessed and under certain combinations of the parameters involved a third possibility of postbuckling dynamic response is revealed. This is associated with a point attractor response on a stable prebuckling fixed point, although dynamic buckling has already occurred, a finding validating new relevant phenomena reported recently in the literature.

---

Keywords

---