Abstract
An analysis method for evaluating the sensitivity of bucking load in geometrically nonlinear finite element methods is developed. By pursuing the pseudo-critical point in the perturbed system on the surface of the hypercylinder where the original critical point exists, the sensitivity of buckling load is estimated. Compared with other methods, the present method can cope with both snap-through and bifurcation problems without an eigenvalue analysis. In addition, the load sensitivity at arbitrary points on the equilibrium path can be calculated under the total-displacement constraint condition. Two examples of sensitivity buckling analysis of shell structures are demonstrated to examine the validity of this method, and satisfactory results are obtained.
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