Structural Design and Vibration Control for a Cantilever Beam

Abstract

The objective of this work is to present a structural design methodology considering the control effects, the change of the topology by a control force action, and design modal control for suitable fixed actuator locations. The structural optimization design in a cantilever structure is completed through a homogenization design method, while the control force is obtained by the optimal control design for transient response and performed in the modal space. In this work the actuators locations are chosen arbitrarily prior to the structural design. In fact, it is a known fact that a good location for an actuator in a cantilever structure is close the fixed size of the structure, since it acts upon the first and most significant mode. The lower fundamental modes are responsible for the most of the tip displacement of the beam; therefore the first two eigenfunctions are computed and considered in the work. The additional dynamics and control design were included in a topology optimization code. Simulations were conducted to assess the optimality and control model efficiency.