Simultaneous Optimization of Actuator Placement and Structural Parameters by Mathematical and Genetic Optimization Algorithms

Abstract

Because of their potential for significant performance improvement, smart structures gain increasing consideration for aerospace or precision system applications. Nevertheless the performance increase can only be realized by proper if not optimal selection of structural and control parameters. The related design problem can often be formulated as a nonlinear multicriteria optimization problem. Objective functions are mostly related to performance (e.g. amplitudes and settling time), mass, required power etc., while constraints are to be satisfied e.g. with respect to eigenvalues, control force amplitudes etc. This increases the complexity of the structural design, where the design variables are not only geometry, mass and stiffness distribution but also actuator/sensor positions and control parameters. In this paper, the optimal design of adaptive structures for active damping is addressed.