Study on PostBuckling of Constrained Bar

Abstract:

The behavior of constrained bar between rigid walls can be divided into different states,such as point contact and line contact phases. The parts of the bar between arbitrary two neighboring contact points are regarded as objects to be analyzed.The buckling equilibrium equations of bilateral constrained bar in different phases are derived based on the assumption of small deformation, point contact and line contact model. The relationship between axial load and different phases can also be established on the basis of the equations. The critical load of phases transition is computed.Analytical results show that the mode transition occurs when the lengths of different segments of the bar equal. In contrast to unconstrained Euler buckling, there are rich bifurcation points in the process of constrained buckling.

Key words:bar; postbuckling; constrained buckling; point contact; line contact