An analysis of the weighted sum of spatial gradients (WSSG) control metric in active structural acoustic control

2014 ◽  
Vol 135 (4) ◽  
pp. 2418-2418
Author(s):  
Yin Cao ◽  
Scott D. Sommerfeldt ◽  
Jonathan D. Blotter ◽  
Pegah Aslani
Keyword(s):  
Weighted Sum ◽  
Spatial Gradients ◽  
Acoustic Control ◽  
Control Metric ◽  
Structural Acoustic Control

scholarly journals Active Structural Acoustic Control of Clamped Flat Plates Using a Weighted Sum of Spatial Gradients

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
William R. Johnson ◽  
Daniel R. Hendricks ◽  
Scott D. Sommerfeldt ◽  
Jonathan D. Blotter
Keyword(s):  
Rectangular Plate ◽  
Acoustic Radiation ◽  
Wave Number ◽  
Effective Control ◽  
Weighted Sum ◽  
Rectangular Plates ◽  
Flat Plates ◽  
Spatial Gradients ◽  
Acoustic Control ◽  
Structural Acoustic Control

The weighted sum of spatial gradients (WSSG) control minimization parameter is developed for use in active structural acoustic control (ASAC) on a clamped flat rectangular plate. The WSSG minimization parameter is measured using four accelerometers grouped closely together on the test structure. In previous work, WSSG was developed on a simply supported flat rectangular plate and showed promise as a control metric. The displacement on the clamped plate has been modeled using an approximate analytical solution assuming shape functions corresponding to clamped-clamped beams. From the analytical formulation, weights, which were found to be the reciprocal of the wave number squared, have been derived to produce a uniform WSSG field across the plate. In active control simulations, this quantity has been shown to provide better global control of acoustic radiation than volume velocity. Analysis is presented which shows that comparable control, regardless of the sensor location, can be achieved using WSSG. Experimental results are presented which demonstrate that WSSG works effectively in practice, with results similar to the simulations. The results show that minimization of WSSG can be used as an effective control objective on clamped rectangular plates to achieve attenuation of acoustic radiation.

An analysis of control using the weighted sum of spatial gradients in active structural acoustic control for flat panels

2015 ◽  
Vol 138 (5) ◽  
pp. 2986-2997 ◽  
Author(s):  
Yin Cao ◽  
Scott. D. Sommerfeldt ◽  
William Johnson ◽  
Jonathan D. Blotter ◽  
Pegah Ashlani
Keyword(s):  
Weighted Sum ◽  
Spatial Gradients ◽  
Acoustic Control ◽  
Structural Acoustic Control

Experimental active structural acoustic control of simply supported plates using a weighted sum of spatial gradients

2014 ◽  
Vol 136 (5) ◽  
pp. 2598-2608 ◽  
Author(s):  
Daniel R. Hendricks ◽  
William R. Johnson ◽  
Scott D. Sommerfeldt ◽  
Jonathan D. Blotter
Keyword(s):  
Weighted Sum ◽  
Simply Supported ◽  
Spatial Gradients ◽  
Acoustic Control ◽  
Structural Acoustic Control

Active structural acoustic control using a sum of weighted spatial gradients control metric

2013 ◽  
Vol 134 (5) ◽  
pp. 4190-4190 ◽  
Author(s):  
William R. Johnson ◽  
Daniel R. Hendricks ◽  
Monty J. Anderson ◽  
Jonathan D. Blotter ◽  
Scott D. Sommerfeldt
Keyword(s):  
Spatial Gradients ◽  
Acoustic Control ◽  
Control Metric ◽  
Structural Acoustic Control

A compact active structural acoustic control method for minimizing radiated sound power

2021 ◽  
Vol 263 (3) ◽  
pp. 3396-3406
Author(s):  
Scott Sommerfeldt
Keyword(s):  
Control Method ◽  
Acoustic Radiation ◽  
Structural Vibration ◽  
Sound Power ◽  
Flat Plates ◽  
Spatial Gradients ◽  
Acoustic Control ◽  
Radiated Sound ◽  
Radiated Sound Power ◽  
Structural Acoustic Control

Active structural acoustic control is an active control method that controls a vibrating structure in a manner that reduces the sound power radiated from the structure. Such methods focus on attenuating some metric that results in attenuated sound power, while not necessarily minimizing the structural vibration. The work reported here outlines the weighted sum of spatial gradients (WSSG) control metric as a method to attenuate structural radiation. The WSSG method utilizes a compact error sensor that is able to measure the acceleration and the acceleration gradients at the sensor location. These vibration signals are combined into the WSSG metric in a manner that is closely related to the radiated sound power, such that minimizing the WSSG also results in a minimization of the sound power. The connection between WSSG and acoustic radiation modes will be highlighted. Computational and experimental results for both flat plates and cylindrical shells will be presented, indicating that the WSSG method can achieve near optimal attenuation of the radiated sound power with a minimum number of sensors.

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