Combined topology and sizing optimization of actively controlled structures

Abstract

Most of the available literature for the design of actively controlled structures deals with structures of a predetermined topology. It is recognized that the structural performance can be improved significantly by optimization of topology. A combined approach to topology and sizing optimization of actively controlled structures is considered in this article. The approach to an optimum structural topology involves defining a domain for the structure, the points of load application and supports. The optimum topology is created by minimizing the strain energy. Once the optimum topology is obtained, an iterative sizing and control system optimization of the optimum topology is performed. Two examples dealing with sizing and control optimization of structures with predetermined as well as optimum topology are presented. It is shown that a simultaneous reduction in structural weight and improvement in root mean square displacement error can be achieved when topological, control and structural aspects of design are considered simultaneously.