Active Control of Nonlinear Cylindrical Shell Vibrations under Random Excitation

Doğan, Vedat; Vaicaitis, R.

doi:10.1177/1045389x9901000508

Cited by 13 publications

(5 citation statements)

References 24 publications

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“…In the case of shaped piezoelectric patches, the practicality can be limited by the fact that the piezoelectric design is dependent on the structure's dynamic response and the modes that need to be controlled. [8][9][10][11][12][13][14][15] Regardless of the degree of practicality, the control results obtained were generally not optimal. Here, the term optimal is used to refer to the performance that results in the maximum attenuation of the radiated sound power.…”

Section: Introductionmentioning

confidence: 99%

Active control of simply supported cylindrical shells using the weighted sum of spatial gradients control metric

Aslani

Sommerfeldt

Blotter

2018

The Journal of the Acoustical Society of America

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It is often desired to reduce sound radiated from cylindrical shells. Active structural acoustic control (ASAC) provides a means of controlling the structural vibration in a manner to efficiently reduce the radiated sound. Previous work has often required a large number of error sensors to reduce the radiated sound power, and the control performance has been sensitive to the location of error sensors. The ultimate objective is to provide global sound power reduction using a minimal number of local error measurements, while also minimizing any dependence on error sensor locations. Recently, a control metric referred to as weighted sum of spatial gradients (WSSG) was developed for ASAC. Specific features associated with WSSG make this method robust under a variety of conditions. In this work, the WSSG control metric is extended to curved structures, specifically a simply supported cylindrical shell. It is shown that global attenuation of the radiated sound power is possible using only one local error measurement. It is shown that the WSSG control metric provides a solution approximating the optimal solution of attenuating the radiated sound power, with minimal dependence on the error sensor location. Numerical and experimental results are presented to demonstrate the effectiveness of the method.

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Section: Introductionmentioning

confidence: 99%

Active control of simply supported cylindrical shells using the weighted sum of spatial gradients control metric

Aslani

Sommerfeldt

Blotter

2018

The Journal of the Acoustical Society of America

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“…So the present host circular cylindrical shell is considered to be made of FGM and the effect of its temperature on the actuation capability of SPFRC is also another objective of this study. It may be noted here that the literature shows a substantial number of studies on the analysis of FG/laminated composite circular cylindrical shell integrated with monolithic piezoelectric/PZC actuators (Carrera et al, 2011; Chen and Shen, 1996; Dogan and Vaicaitis, 1999; Ganesan and Kadoli, 2003; He et al, 2002; Jafari et al, 2014; Kumar et al, 2008; Lester and Sylvie, 1993; Li et al, 2004; Liew et al, 2002; Qiu and Tani, 1995; Ray and Reddy, 2005; Saadatfar, 2015; Sheng and Wang, 2009; Sonti and James, 1996; Zhang et al, 2008). But none of the available studies addresses the actuation capability of SPFRC actuator especially in comparison to the same of monolithic piezoelectric/PZC actuator.…”

Section: Introductionmentioning

confidence: 99%

Performance of a short piezoelectric fiber–reinforced composite actuator in vibration control of functionally graded circular cylindrical shell

Panda

2016

Journal of Intelligent Material Systems and Structures

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For improved flexibility and conformability of piezoelectric fiber–reinforced composite actuator, it is reconstructed in a recent study by the use of short piezoelectric fibers (short piezoelectric fiber–reinforced composite) instead of continuous fibers (continuous piezoelectric fiber–reinforced composite). This modification facilitates its application in short piezoelectric fiber–reinforced composite layer form instead of continuous piezoelectric fiber–reinforced composite patch form particularly in case of host structures with highly curved boundary surfaces. But the corresponding change in actuation capability is a major issue for potential application of short piezoelectric fiber–reinforced composite that is studied in this work through the control of vibration of a functionally graded circular cylindrical shell under thermal environment. First, an arrangement of continuous piezoelectric fiber–reinforced composite actuator patches over the host shell surface is presented with an objective of controlling all modes of vibration. Next, the use of short piezoelectric fiber–reinforced composite actuator layer for similar control activity is demonstrated through an arrangement of electrode patches over its surfaces. Subsequently, an electric potential function is assumed for the consideration of electrode patches and a geometrically nonlinear coupled thermo-electro-mechanical incremental finite element model of the harmonically excited overall functionally graded shell is developed. The numerical results reveal actuation capability of short piezoelectric fiber–reinforced composite actuator layer with reference to that of the existing continuous piezoelectric fiber–reinforced composite/monolithic piezoelectric actuator patches. The effects of temperature, size of electrode patches, properties of piezoelectric fiber–reinforced composite, and functionally graded properties on the control activity of short piezoelectric fiber–reinforced composite/continuous piezoelectric fiber–reinforced composite actuator are also presented.

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“…There are a number of studies where active vibration control has been investigated as an approach for active noise control of the cylinders [32][33][34][35][36][37][39][40][41]. For instance, in 2000, with further progress in the design of actuators and sensors, Goddu and McDowell used active fiber composite actuators and the adaptive least-mean-square (LMS) algorithm to minimize the error signal from an accelerometer mounted on the cylindrical structure [42].…”

Section: Introductionmentioning

confidence: 99%

Active control of cylindrical shells using the weighted sum of spatial gradients control metric

Aslani

Sommerfeldt

Blotter

2015

Journal of the Acoustical Society of America

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Active Control of Cylindrical Shells Using theWeighted Sum of Spatial Gradients (WSSG) Control Metric Pegah Aslani Department of Physics and Astronomy, BYU Doctor of Philosophy Cylindrical shells are common structures that are often used in industry, such as pipes, ducts, aircraft fuselages, rockets, submarine pressure hulls, electric motors and generators. In many applications it is desired to attenuate the sound radiated from the vibrating structure. There are both active and passive methods to achieve this purpose. However, at low frequencies passive methods are less effective and often an excessive amount of material is needed to achieve acceptable results. There have been a number of works regarding active control methods for this type of structure. In most cases a considerable number of error sensors and secondary sources are needed. However, in practice it is much preferred to have the fewest number of error sensors and control forces possible. Most methods presented have shown considerable dependence on the error sensor location. The goal of this dissertation is to develop an active noise control method that is able to attenuate the radiated sound effectively at low frequencies using only a small number of error sensors and secondary sources, and with minimal dependence on error sensor location. The Weighted Sum of Spatial Gradients control metric has been developed both theoretically and experimentally for simply supported cylindrical shells. The method has proven to be robust with respect to error sensor location. In order to quantify the performance of the control method, the radiated sound power has been chosen. In order to calculate the radiated sound power theoretically, the radiation modes have been developed for cylindrical shells. Experimentally, the radiated sound power without and with control has been measured using the ISO 3741 standard. The results show comparable, or in some cases better, performance in comparison with other known methods. Some agreement has been observed between model and experimental results. However, there are some discrepancies due to the fact that the actual cylinder does not appear to behave as an ideal simply supported cylindrical shell.

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Active Control of Nonlinear Cylindrical Shell Vibrations under Random Excitation

Cited by 13 publications

References 24 publications

Active control of simply supported cylindrical shells using the weighted sum of spatial gradients control metric

Active control of simply supported cylindrical shells using the weighted sum of spatial gradients control metric

Performance of a short piezoelectric fiber–reinforced composite actuator in vibration control of functionally graded circular cylindrical shell

Active control of cylindrical shells using the weighted sum of spatial gradients control metric

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