Active Structural Acoustic Control of Ribbed Plates using a Weighted Sum of Spatial Gradients

A weighted sum of spatial gradients (WSSG) control metric for use in active structural acoustic control of finite ribbed plates was developed and compared to volume velocity. A finite element model was used to obtain the displacement field on the plate, and a finite difference derivative approach to obtaining the terms in WSSG was used. Previous results of ASAC on finite ribbed plates are minimal in the literature, however volume velocity has been heavily used as a control metric on flat plates. WSSG was compared to volume velocity as a benchmark to measure success of control on a variety of boundary conditions including clamped and simply-supported plates. Simulation results showed that WSSG provided comparable or improved control of radiated sound power on finite ribbed plates on four different boundary conditions. Results also showed that WSSG was relatively insensitive to sensor location, and that multiple control forces could be used to successfully improve control. These results confirm that ASAC can be successfully performed on finite ribbed plates with the WSSG control metric.