Iterative algorithms for optimal design of columns subject to a stress constraint
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.344, sa.5, ss.711-724, 2007 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 344 Sayı: 5
- Basım Tarihi: 2007
- Doi Numarası: 10.1016/j.jfranklin.2006.03.017
- Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.711-724
- Anahtar Kelimeler: optimal design of columns, maximum buckling load, lagrange problem, stress constraint
- Akdeniz Üniversitesi Adresli: Hayır
Özet
Two algorithms based on an integral equation formulation of the buckling optimization problem are formulated and implemented. The objective of the optimization is to maximize the buckling load of an elastically restrained column by optimally designing the cross-sectional area subject to a minimum cross-section or maximum stress constraint. The first approach involves solving the resulting integral equations iteratively taking into account the boundary conditions, the optimality criterion and the imposed constraints. In the second approach an iterative finite difference approximation scheme is developed.