학술논문

Plastic optimization of 3D steel frames under fixed or repeated loading: Reduction formulation
Document Type
Article
Source
Engineering Structures. Apr2010, Vol. 32 Issue 4, p1092-1099. 8p.
Subject
*MATHEMATICAL optimization
*SPACE frame structures
*LINEAR programming
*ALGORITHMS
*CONSTRAINTS (Physics)
*BENDING moment
*MATERIAL plasticity
Language
ISSN
0141-0296
Abstract
Abstract: This paper present a new algorithm of plastic optimization for 3D steel frames under fixed loading (limit optimization) or repeated loading (shakedown optimization). The weights of the frames are minimized under constraints of plastic collapse (instantaneous mechanics/alternating plasticity). A 3D plastic-hinge considering two bending moments and axial force is taken into account by 16-facet polyhedrons. The static theorem of limit analysis is adopted and the formulations are written under a linear programming problem that is solved by using the simplex method. Several useful techniques of reducing the problem sizes are proposed. Some numerical examples are presented to demonstrate the efficiency of the proposed algorithm. [Copyright &y& Elsevier]