An analytical and experimental investigation on active control of the flexural wave transmission in a simply supported ribbed plate

Abstract

The feedforward active control of the plate flexural wave transmission along a semi-infinite simply supported ribbed plate has been analytically and experimentally investigated. The ribbed plate was modelled as a continuous system using equations of motion to describe the plate in flexure and the beam in both flexure and torsion. Due to the simply supported and infinite boundary conditions, the structural response is described by a combination of a modal and a travelling wave solution. The primary and secondary sources are modelled as single point forces, with the primary force located on the plate and the secondary control force applied to the reinforcing beam. This force configuration is to demonstrate the feasibility of attenuating the plate response by actively modifying the beam response. Results show that using a single, properly located control actuator and a single error sensor, global attenuation of the transmitted plate vibration through the reinforcing beam is achieved.