Optimal Design of Structures Against Buckling: A Complementary Energy Approach
- 1 January 1977
- journal article
- research article
- Published by Taylor & Francis in Journal of Structural Mechanics
- Vol. 5 (1) , 45-66
- https://doi.org/10.1080/03601217708907304
Abstract
The complementary energy approach is used to establish the basic principles in terms of generalized stress components for the optimum design of elastic structures against buckling. The necessary condition of optlmality is derived and its sufficiency is established for those structures whose compliance densities are convex and which are statically determinate. By way of illustration, the development is used to rederive the governing equations for the optimal design of a column against lateral buckling. The formulation is further applied to obtain optimum design of thin-walled beams against lateral-torsional buckling.Keywords
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