Summary
Characteristics of optimal solutions under nonlinear buckling constraints are investigated by using a bar-spring model. It is demonstrated that optimization under buckling constraints of a symmetric system often leads to a structure with hill-top branching, where a limit point and bifurcation points coincide. A general formulation is derived for imperfection sensitivity of the critical load factor corresponding to a hill-top branching point. It is shown that the critical load is not imperfection-sensitive even for the case where an asymmetric bifurcation point exists at the limit point.
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Ohsaki, M. Sensitivity analysis of an optimized bar-spring model with hill-top branching. Archive of Applied Mechanics 73, 241–251 (2003). https://doi.org/10.1007/s00419-003-0282-9
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DOI: https://doi.org/10.1007/s00419-003-0282-9