Optimization of 3D Frame Structures for Stress and Overall Stability Constraints

摘要

The optimization problem is formulated for 3D frames with imposed constraints on extreme effective stresses in beam volumes, constraints on critical buckling load and side constraints on size parameters and shape parameters. The critical buckling load is calculated with the inclusion of geometrical nonlinearity. Special attention is paid to the particular case of nondifferentiability of critical value. In this paper, the effect of shear deformations for optimal solutions is considered. The optimization iteration includes a sequence of quadratic programming problems, concepts of normalization, approximation of active constraints and adaptive move limits.