AUTHOR(S):

Martin Kalina

TITLE

Stability Problems of Pyramidal von Mises Planar Trusses with Geometrical Imperfection

KEYWORDS

Pyramidal von Mises planar truss, Nonlinear system, Dynamical relaxation method, Potential energy, Static eqilibrium paths, Bifurcation point

ABSTRACT

The present paper deals with an analysis of pyramidal von Mises planar trusses with or without initial geometric imperfection. Models with real geometrical and material parameters were applied. The models had the cross section of a hot-rolled steel profile. The paper describes a dynamic relaxation method which monitors the potential energy of the von Mises planar truss loaded by displacement of top hinge. The transformed potential energy was depicted in flat and three-dimensional maps. Static eqilibrium paths and positions of chosen bifurcation points were found.

Cite this paper

Martin Kalina. (2016) Stability Problems of Pyramidal von Mises Planar Trusses with Geometrical Imperfection. International Journal of Theoretical and Applied Mechanics, 1, 118-123