Optimal design of simply supported columns subject to distributed axial load and stress constraint

ADALI S., ÇAĞDAŞ İ. U.

OPTIMAL CONTROL APPLICATIONS & METHODS, cilt.30, sa.5, ss.505-520, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 5
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1002/oca.878
  • Dergi Adı: OPTIMAL CONTROL APPLICATIONS & METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.505-520
  • Anahtar Kelimeler: optimal columns, design optimization, distributed axial loads, stress constraints, NONUNIFORM COLUMNS, CLAMPED COLUMNS, OPTIMIZATION
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The optimum designs are given for columns, which are simply supported and under distributed and concentrated axial loads. The objective is to maximize the buckling load subject to volume and maximum stress constraints. The area of the minimum cross-section tinder a stress constraint is not known a prion as it depends on the maximum buckling load which in turn depends on the optimum shape. This minimum cross-sectional area is computed as part of an iterative procedure. An iterative solution method is developed based on finite elements and the results are obtained for n = 1, 2, 3, defined as I = alpha(n)A(n) with I being the moment of inertia, and A the cross-sectional area. Numerical results show that the optimal areas become larger in the direction of the distributed load. Results are given for uniformly and triangular distributed loads, which are shown to have distinct effects on the optimal column shape. Copyright (C) 2009 John Wiley & Sons, Ltd.