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Research Papers: Structures and Safety Reliability

A Rapid Method Connecting Vibrating Structure Size, Piezo-Actuator Size, and Control Voltage for Noise Level Reduction on Oil Drilling Platforms

[+] Author and Article Information
Cícero R. Souto

Electrical Engineering Department,
Federal University of Paraiba
Cidade Universitária,
João Pessoa 58051-900, PB, Brazil
e-mail: cicerosouto@cear.ufpb.br

Simplício A. da Silva

Electrical Engineering Department,
Federal University of Paraiba
Cidade Universitária,
João Pessoa 58051-900, PB, Brazil
e-mail: simplicioarnaud@gmail.com

Andreas Ries

Electrical Engineering Department,
Federal University of Paraiba
Cidade Universitária,
João Pessoa 58051-900, PB, Brazil
e-mail: ries750@yahoo.com.br

Roberto L. Pimentel

Civil Engineering Department Federal,
University of Paraiba Cidade Universitária,
João Pessoa 58051-900, PB, Brazil
e-mail: r.pimentel@uol.com.br

Seyyed S. Dana

Mechanical Engineering Department,
Federal University of Paraiba
Cidade Universitária,
João Pessoa 58051-900, PB, Brazil
e-mail: seyyeddana@gmail.com

1Corresponding author.

2Current affiliation: Mechanical Engineering Department, Federal University of Sergipe, Av. Marechal Rondon s/n, 49100-000 São Cristóvão, SE, Brazil.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received August 17, 2017; final manuscript received August 15, 2018; published online October 12, 2018. Assoc. Editor: Ioannis K. Chatjigeorgiou.

J. Offshore Mech. Arct. Eng 141(2), 021601 (Oct 12, 2018) (7 pages) Paper No: OMAE-17-1148; doi: 10.1115/1.4041301 History: Received August 17, 2017; Revised August 15, 2018

Scientific studies dealing with mechanical vibration attenuation by means of piezoelectric actuators are mostly focused on special details of structure modeling through finite elements and the amount of attenuation that can be achieved. However, a little explored issue in the scientific literature is the size of the actuator in relation to the size of the vibrating structure and the voltage applied to the piezoelectric actuator in order to achieve optimum vibration attenuation. This paper presents a theoretical and experimental study of mechanical vibration control of an aluminum plate with attached piezoelectric actuator. The aluminum plate was clamped at all four sides and a piezoelectric actuator based on lead zirconium titanate (PZT) was positioned at its center. Its natural frequency was close to 50 Hz, which is a frequency being constantly present on oil drilling platforms, producing annoying sound. The contribution of this paper is the determination of the relationship between the areas of the aluminum plate and the PZT actuator associated with the voltage value applied to the piezo-actuator for the purpose of vibration attenuation. The work demonstrates the possibility of the development of open-loop control using finite elements, to attenuate the vibration via piezoelectric actuator plates. This method makes it possible to vary the electric voltage across the piezoelectric actuator and/or the actuator dimensions involved, leading to the best attenuation condition. Numerical simulations and experimental results show the relation between size of the PZT actuator and the electric field which must be applied for best attenuation.

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References

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Figures

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Fig. 1

Sketch of the junction between piezoelectric actuator and aluminum plate

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Fig. 2

Model of the aluminum plate with piezoelectric actuator in its center

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Fig. 3

Schematic diagram of the experimental setup

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Fig. 4

Photograph of the clamped plate as utilized for determination of the vibration modes

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Fig. 5

The first five vibration modes of the aluminum plate with mounted piezoelectric actuator: (a) 48.75 Hz, (b) 88.43 Hz, (c) 109.62 Hz, (d) 146.40 Hz, and (e) 152.38 Hz

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Fig. 6

Vibration attenuation response as a function of the ratio actuator area to aluminum plate area

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Fig. 7

Vibration attenuation response as a function of the voltage applied to the piezoelectric actuator

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Fig. 8

Experimental observation of the first vibration mode

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Fig. 9

Captured vibration signals with and without control in the time (top) and frequency (bottom) domain (PZT actuator size 38 × 32 × 0.2 mm3)

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Fig. 10

Captured vibration signals with and without control in the time (top) and frequency (bottom) domain (PZT actuator size 65 × 56 × 0.2 mm3)

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