On the modelling and solving of the truss design problem with global stability constraints

By Michal Kočvara. 2002

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Optimal design of trusses with geometric imperfections: Accounting for global instability (2011, background): “Ben-Tal et al. (2000) and Kočvara (2002) for mulated an approach for deterministic truss design that included linearized global buckling in the compliance formulation.”
PENNON: A code for convex nonlinear and semidefinite programming (2003, background): “Originally a nonlinear matrix inequality, the constraint should guarantee that the optimal structure is mechanically stable (does not buckle); see [9].”
Level‐set topology optimization with many linear buckling constraints using an efficient and robust eigensolver (2016, background): “Thus, a global buckling constraint is also included [7].”
Form Finding of Sparse Structures with Continuum Topology Optimization (2003, unknown): “…past, such methods been investigated quite extensively for civil engineering ty structures with a good deal of attention paid to achievement designs that are stable with respect to design loads~Oberndorfer et al. 1996; Rozvany 1996; Zou 1996; Achtziger 1999; Bojcz and Mróz 1999; Kočvara 2002!.”
Optimum design of truss topology under buckling constraints (2005, background): “The so-called exact formulation has variable sets of constraints (Achtziger 2000) and the author also develops a special numerical procedure to deal with it. Kocvara (2002) addressed the problem of truss topology optimization with global sta- 170 X. Guo et al.”