Engineering Transactions, 55, 4, pp. 281–292, 2007

Stability Constraints in Optimization of Cracked Columns Subjected to Compressive Follower Load

SZ. IMIEŁOWSKI
Institute of Fundamental Technological Research Polish Academy of Sciences

R. BOGACZ
Institute of Fundamental Technological Research Polish Academy of Sciences

Maximization of the critical force of cracked columns, subjected to generalized follower
force is discussed in the paper. The crack is assumed to be formed according to the opening
and sliding modes and is modeled by a localized loss of stiffness. Influence of the crack stiffness
and its localization on the value of the critical force is analyzed. The optimization process
is based on the multimodal approach. The localization of crack with the critical force of the
system equal to 137.17 EJ/L2 is found.
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