Optimum design of Beck's column with a constraint on the static buckling load

M. A. Langthjem; Y. Sugiyama

doi:10.1007/bf01223304

Optimum design of Beck's column with a constraint on the static buckling load

Structural Optimization ◽

10.1007/bf01223304 ◽

1999 ◽

Vol 18 (4) ◽

pp. 228-235 ◽

Cited By ~ 7

Author(s):

M. A. Langthjem ◽

Y. Sugiyama

Keyword(s):

Optimum Design ◽

Buckling Load

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Optimum design of composite laminates for maximum buckling load capacity using simulated annealing

Composite Structures ◽

10.1016/j.compstruct.2004.09.008 ◽

2005 ◽

Vol 71 (1) ◽

pp. 45-52 ◽

Cited By ~ 87

Author(s):

Ozgur Erdal ◽

Fazil O. Sonmez

Keyword(s):

Simulated Annealing ◽

Optimum Design ◽

Composite Laminates ◽

Load Capacity ◽

Buckling Load

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Optimum design of laminated composite plates to maximize buckling load using MFD method

Thin-Walled Structures ◽

10.1016/j.tws.2007.06.002 ◽

2007 ◽

Vol 45 (7-8) ◽

pp. 660-669 ◽

Cited By ~ 21

Author(s):

Umut Topal ◽

Ümit Uzman

Keyword(s):

Optimum Design ◽

Laminated Composite ◽

Composite Plates ◽

Buckling Load ◽

Laminated Composite Plates

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SEQUENTIAL SEMIDEFINITE PROGRAMMING FOR OPTIMIZATION OF FRAMED STRUCTURES UNDER MULTIMODAL BUCKLING CONSTRAINTS

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455401000305 ◽

2001 ◽

Vol 01 (04) ◽

pp. 585-602 ◽

Cited By ~ 17

Author(s):

Y. KANNO ◽

M. OHSAKI ◽

N. KATOH

Keyword(s):

Semidefinite Programming ◽

Optimum Design ◽

Interior Point ◽

Interior Point Method ◽

Buckling Load ◽

Framed Structures ◽

Buckling Constraints ◽

Load Factors ◽

Linear Buckling ◽

Primal Dual

An algorithm based on Semi-Definite Programming (SDP) formulation is proposed for optimum design of structures for specified linear buckling load factors. Optimal trusses and frames are computed by using the primal-dual interior-point method based on SDP scheme. It is well known that optimizing structures under buckling constraints is difficult because of the non-differentiability of buckling load factors for the case of multimodal solutions. The examples studied indicate that optimum designs with multiple buckling load factors can be found with no difficulty by successively solving the SDP problems.

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