Iterative algorithms for optimal design of columns subject to a stress constraint

ADALI, Sarp; Cagdas, İZZET

doi:10.1016/j.jfranklin.2006.03.017

Iterative algorithms for optimal design of columns subject to a stress constraint

Atıf İçin Kopyala

ADALI S., Cagdas I. U.

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.