Abstract
The structural optimization algorithms developed in recent years mainly consider the elastic behaviour of structures. The reserve of resisting loads in nonlinear regions is totally ignored. The optimum design algorithm presented in this study takes into account the response of the structure beyond the elastic limit. This is achieved by coupling a nonlinear analysis technique with an optimality criteria approach. The first is used to provide the nonlinear behaviour of the structure as the design variables are changed. The latter is employed to obtain a recursive relationship to be utilized to update these design variables. The design algorithm includes the displacement limitations. Consideration of the post buckling and post yielding behaviour of the truss members makes the necessity of stress and buckling constraints irrelevant. Minimum size constraints are imposed on the design variables. A number of design examples are presented to demonstrate the application of the method.
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