Global Control of Total Energy and Power of a Generic Structural/Acoustic Field(Mechanical Systems)

Abstract

This paper concerns global control of the total energy and power of a structural and acoustic field of a generic dynamical system. In light of the magnitude of state variables; structural kinetic energy, acoustic power in the outer space and acoustic potential energy in the inner space of an enclosure, a total performance index is introduced such that each state variable is to be evenly dealt with. The orthogonal contributors, termed vibro-acoustic modes, responsible for the total performance index are then derived. With an aim to extract the vibro-acoustic modes, a vibration-centric spatial filter is introduced, which is found to be frequency dependent. To overcome this impracticality, a fixed modal filter is presented, the viability being investigated. Once the filtering methodology is established, the actuation methodology is similarly achieved due to the duality in between. Finally, a numerical analysis is conducted, demonstrating the capability of achieving global control of the total energy and power of a dynamical system.