Electrical tuned vibration absorber: Application of the equal-peak method to linear and non-linear rl piezoelectric shunts

Gilles Tondreau, Arnaud Deraemaeker, Payam Soltani, Gaëtan Kerschen

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

1 Citation (Scopus)

Abstract

Mechanical tuned vibration absorbers (MTVAs) are devices used to mitigate the vibrations of a structure around one of its eigenfrequencies. By introducing an additional degree of freedom in the structure, MTVAs allow to split the peak of interest in the frequency response in two peaks with lower amplitudes. The design of MTVAs is usually based on the (approximate) equal-peak method proposed by Den Hartog. A closed-form exact solution was however obtained by Asami and Nishihara, for which the two peaks of the frequency response have exactly the same amplitude. Similarly to MTVAs, piezoelectric tuned vibration absorbers (PTVAs) allow to damp efficiently a specific peak of the frequency response. Although a pole placement technique can be used to design such devices, tuning rules are usually based on approximate equal-peak methods which define the optimum values of the resistor and the inductance of the shunt. Very recently, Asami and Nishihara's exact solution has been extended for the equal-peak method to PTVAs by the authors of the present paper. The first contribution of this paper is to illustrate this new optimum design of a series RL piezoelectric shunt on a realistic example. A clamped-free steel plate excited with two piezoelectric actuators and shunted with two piezoelectric transducers is modelled using plate elements (laminates). Non-linearity is then introduced in the host structure, and a new non-linear PTVA for mitigating the vibrations of the non-linear host structure is proposed. The improvement of damping performances in the presence of structural non-linearties using a non-linear PTVA is illustrated.
Original languageEnglish
Title of host publicationICAST 2014 - 25th International Conference on Adaptive Structures and Technologies
PublisherETH Zurich
Pages240-252
Number of pages13
ISBN (Print)978-1-63439-808-4
Publication statusPublished - 1 Jan 2014
Externally publishedYes
Event25th International Conference on Adaptive Structures and Technologies - The Hague, Netherlands
Duration: 6 Oct 20188 Oct 2018
Conference number: 25
http://icast2014.fyper.com/

Conference

Conference25th International Conference on Adaptive Structures and Technologies
Abbreviated titleICAST 2014
CountryNetherlands
CityThe Hague
Period6/10/188/10/18
Internet address

Fingerprint

shunts
absorbers
vibration
frequency response
piezoelectric actuators
piezoelectric transducers
inductance
resistors
laminates
poles
degrees of freedom
damping
nonlinearity
tuning
steels

Cite this

Tondreau, G., Deraemaeker, A., Soltani, P., & Kerschen, G. (2014). Electrical tuned vibration absorber: Application of the equal-peak method to linear and non-linear rl piezoelectric shunts. In ICAST 2014 - 25th International Conference on Adaptive Structures and Technologies (pp. 240-252). ETH Zurich .

Electrical tuned vibration absorber : Application of the equal-peak method to linear and non-linear rl piezoelectric shunts. / Tondreau, Gilles; Deraemaeker, Arnaud; Soltani, Payam; Kerschen, Gaëtan.

ICAST 2014 - 25th International Conference on Adaptive Structures and Technologies. ETH Zurich , 2014. p. 240-252.

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

Tondreau, G, Deraemaeker, A, Soltani, P & Kerschen, G 2014, Electrical tuned vibration absorber: Application of the equal-peak method to linear and non-linear rl piezoelectric shunts. in ICAST 2014 - 25th International Conference on Adaptive Structures and Technologies. ETH Zurich , pp. 240-252, 25th International Conference on Adaptive Structures and Technologies, The Hague, Netherlands, 6/10/18.
Tondreau G, Deraemaeker A, Soltani P, Kerschen G. Electrical tuned vibration absorber: Application of the equal-peak method to linear and non-linear rl piezoelectric shunts. In ICAST 2014 - 25th International Conference on Adaptive Structures and Technologies. ETH Zurich . 2014. p. 240-252
Tondreau, Gilles ; Deraemaeker, Arnaud ; Soltani, Payam ; Kerschen, Gaëtan. / Electrical tuned vibration absorber : Application of the equal-peak method to linear and non-linear rl piezoelectric shunts. ICAST 2014 - 25th International Conference on Adaptive Structures and Technologies. ETH Zurich , 2014. pp. 240-252
@inproceedings{cf256714d3f1479ba3380515bff38aa1,
title = "Electrical tuned vibration absorber: Application of the equal-peak method to linear and non-linear rl piezoelectric shunts",
abstract = "Mechanical tuned vibration absorbers (MTVAs) are devices used to mitigate the vibrations of a structure around one of its eigenfrequencies. By introducing an additional degree of freedom in the structure, MTVAs allow to split the peak of interest in the frequency response in two peaks with lower amplitudes. The design of MTVAs is usually based on the (approximate) equal-peak method proposed by Den Hartog. A closed-form exact solution was however obtained by Asami and Nishihara, for which the two peaks of the frequency response have exactly the same amplitude. Similarly to MTVAs, piezoelectric tuned vibration absorbers (PTVAs) allow to damp efficiently a specific peak of the frequency response. Although a pole placement technique can be used to design such devices, tuning rules are usually based on approximate equal-peak methods which define the optimum values of the resistor and the inductance of the shunt. Very recently, Asami and Nishihara's exact solution has been extended for the equal-peak method to PTVAs by the authors of the present paper. The first contribution of this paper is to illustrate this new optimum design of a series RL piezoelectric shunt on a realistic example. A clamped-free steel plate excited with two piezoelectric actuators and shunted with two piezoelectric transducers is modelled using plate elements (laminates). Non-linearity is then introduced in the host structure, and a new non-linear PTVA for mitigating the vibrations of the non-linear host structure is proposed. The improvement of damping performances in the presence of structural non-linearties using a non-linear PTVA is illustrated.",
author = "Gilles Tondreau and Arnaud Deraemaeker and Payam Soltani and Ga{\"e}tan Kerschen",
year = "2014",
month = "1",
day = "1",
language = "English",
isbn = "978-1-63439-808-4",
pages = "240--252",
booktitle = "ICAST 2014 - 25th International Conference on Adaptive Structures and Technologies",
publisher = "ETH Zurich",

}

TY - GEN

T1 - Electrical tuned vibration absorber

T2 - Application of the equal-peak method to linear and non-linear rl piezoelectric shunts

AU - Tondreau, Gilles

AU - Deraemaeker, Arnaud

AU - Soltani, Payam

AU - Kerschen, Gaëtan

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Mechanical tuned vibration absorbers (MTVAs) are devices used to mitigate the vibrations of a structure around one of its eigenfrequencies. By introducing an additional degree of freedom in the structure, MTVAs allow to split the peak of interest in the frequency response in two peaks with lower amplitudes. The design of MTVAs is usually based on the (approximate) equal-peak method proposed by Den Hartog. A closed-form exact solution was however obtained by Asami and Nishihara, for which the two peaks of the frequency response have exactly the same amplitude. Similarly to MTVAs, piezoelectric tuned vibration absorbers (PTVAs) allow to damp efficiently a specific peak of the frequency response. Although a pole placement technique can be used to design such devices, tuning rules are usually based on approximate equal-peak methods which define the optimum values of the resistor and the inductance of the shunt. Very recently, Asami and Nishihara's exact solution has been extended for the equal-peak method to PTVAs by the authors of the present paper. The first contribution of this paper is to illustrate this new optimum design of a series RL piezoelectric shunt on a realistic example. A clamped-free steel plate excited with two piezoelectric actuators and shunted with two piezoelectric transducers is modelled using plate elements (laminates). Non-linearity is then introduced in the host structure, and a new non-linear PTVA for mitigating the vibrations of the non-linear host structure is proposed. The improvement of damping performances in the presence of structural non-linearties using a non-linear PTVA is illustrated.

AB - Mechanical tuned vibration absorbers (MTVAs) are devices used to mitigate the vibrations of a structure around one of its eigenfrequencies. By introducing an additional degree of freedom in the structure, MTVAs allow to split the peak of interest in the frequency response in two peaks with lower amplitudes. The design of MTVAs is usually based on the (approximate) equal-peak method proposed by Den Hartog. A closed-form exact solution was however obtained by Asami and Nishihara, for which the two peaks of the frequency response have exactly the same amplitude. Similarly to MTVAs, piezoelectric tuned vibration absorbers (PTVAs) allow to damp efficiently a specific peak of the frequency response. Although a pole placement technique can be used to design such devices, tuning rules are usually based on approximate equal-peak methods which define the optimum values of the resistor and the inductance of the shunt. Very recently, Asami and Nishihara's exact solution has been extended for the equal-peak method to PTVAs by the authors of the present paper. The first contribution of this paper is to illustrate this new optimum design of a series RL piezoelectric shunt on a realistic example. A clamped-free steel plate excited with two piezoelectric actuators and shunted with two piezoelectric transducers is modelled using plate elements (laminates). Non-linearity is then introduced in the host structure, and a new non-linear PTVA for mitigating the vibrations of the non-linear host structure is proposed. The improvement of damping performances in the presence of structural non-linearties using a non-linear PTVA is illustrated.

UR - http://www.scopus.com/inward/record.url?scp=84923683307&partnerID=8YFLogxK

M3 - Conference proceeding

SN - 978-1-63439-808-4

SP - 240

EP - 252

BT - ICAST 2014 - 25th International Conference on Adaptive Structures and Technologies

PB - ETH Zurich

ER -