Nonlinear analysis of thin-walled members of variable cross-section. Part II: Application
The equilibrium equations of a tapered member may be structured into finite element format by vanishing of the first variation of the Total Potential, while the stability equations may be presented in finite element format when the second variation of the Total Potential vanishes. These variations have been developed in a companion paper, and are recast into finite element format in this paper. The finite element program is used to investigate the linear stiffness behaviour of a tapered beam subject to a torque, classical stability analyses of tapered members and the stability of tapered members when subjected to the effects of initial bending curvature. Where possible, comparisons are made with other solutions in the literature, and it is shown that the numerical model presented in this paper is very accurate.
nonlinearity tapering finite elements buckling elasticity stability analysis thin-walled structures