Optimum Structural Design Considering Vibration Control

Abstract

This paper deals with a problem of optimum structural design in which the shape for a beamlike structure that minimizes the cost for vibration control under the condition of volume constancy is determined. This is an approach to the simultaneous optimization of the structure and control functions. The objective structure is modeled by the finite-element method, and the control law obeys the optimal regulator theory. Through numerical examples, the effects of the initial state and weighting matrices on the result are discussed. Moreover, a two-step method for obtaining the optimum shape is proposed.