A Topology Optimization Problem in Control of Structures Using Modal Disparity Available to Purchase

Towards the goal of developing a new methodology for control of vibration in flexible structures, this paper introduces the concept of modal disparity and addresses the topology optimization problem for maximizing the disparity. The modal disparity in a structure is generated by the application of forces that vary the stiffness of the structure and a topology optimization problem determines the best locations for application of these forces. When the forces are switched on and off and, as a result, the structure is switched between two stiffness states, modal disparity results in vibration energy being transferred from a set of uncontrolled modes to a set of controlled modes. This allows the vibration of the structure to be completely attenuated by removing energy from the small set of controlled modes. Simulation results are presented to demonstrate control of vibration in two truss-like structures exploiting modal disparity.