Abstract
In this study, a method to evaluate sensitivities in post-buckling analysis is developed. The gradients of load values obtained under several constraint conditions are discussed. Unlike other methods for sensitivity analysis, the present method can cope with both snap-through and bifurcation problems without eigenvalue analysis. In addition, the load sensitivity at arbitrary points on an equilibrium path can be calculated. Using the MITC4 shell element, several numerical examples, such as a bifurcation buckling and a snap-through analysis of shell structures, are solved to show the performance of this sensitivity analysis method.
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