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Piezoelectric generation of extensional waves in a viscoelastic bar by use of a linear power amplifier: Theoretical basis
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Applied Mechanics.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Applied Mechanics.
2007 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 306, no 1-2, 318-332 p.Article in journal (Refereed) Published
Abstract [en]

A system consisting of a linear power amplifier driving a piezoelectric actuator pair attached to a long viscoelastic bar is analysed. Coupled piezoelectric theory is used, and allowance is made for the dynamics of the amplifier and of the actuators. Formulae are derived for the relation between the input voltage to the amplifier and the normal force associated with extensional waves generated in the bar and for the load impedance constituted by the actuator-bar assembly. It is established that the mechanical work performed on the external parts of the bar at the actuator/bar interfaces is at most equal to the electrical energy supplied by the amplifier. The results are applied to a three-parameter viscoelastic bar and to an elastic bar, and the effects of the cut-off frequency, without load, and the output impedance of the amplifier are examined. For the elastic bar, sharp response minima occur at frequencies that are integral multiples of the inverse transit time through the actuator region. For the viscoelastic bar, the corresponding minima are less sharp and deep. The input voltage to the amplifier required to produce a desired output wave at the actuator/bar interfaces can be determined provided that the spectrum of this wave is not too broad.

Place, publisher, year, edition, pages
2007. Vol. 306, no 1-2, 318-332 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-96418DOI: 10.1016/j.jsv.2007.05.005ISI: 000248719000020OAI: oai:DiVA.org:uu-96418DiVA: diva2:170986
Available from: 2007-11-07 Created: 2007-11-07 Last updated: 2017-12-14Bibliographically approved
In thesis
1. Piezoelectric Generation and Damping of Extensional Waves in Bars
Open this publication in new window or tab >>Piezoelectric Generation and Damping of Extensional Waves in Bars
2007 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis focuses on the electromechanical processes of generation and damping of transient waves in bars with attached piezoelectric members. In particular, the influence of amplifier and electrical circuitry on the mechanical waves is of interest.

A straight bar element containing piezoelectric members is viewed as a linear system with one electrical and two mechanical ports where it interacts with external electrical and mechanical devices through voltage, current, forces and velocities. For the modelling of the piezoelectric bar element (PBE) and its environment, coupled piezoelectric theory is used with allowance for the dynamics of the PBE and attached electrical and mechanical devices.

Two applications are considered for a PBE that constitutes a part of a long bar, viz. generation and damping of extensional waves. In the first, simulations and experiments were performed when the PBE was driven by a power amplifier. In the second, simulations and experiments were performed when the PBE supplied an output voltage to an external load.

In the case of wave generation, the influence of amplifier characteristics in terms of DC voltage gain, 3 dB cut-off frequency, output impedance and current constraints on the output voltage and current of the amplifier and the waves generated are studied. Further, generation of waves of prescribed shapes are studied for a specific amplifier. In general, good agreement between simulated and experimental results was obtained.

In the case of wave damping, the influence of external electrical loads and incident waveforms on reflected and transmitted waves, and on gener-ated voltage, current, electrical power and dissipated energy, are studied. In general, fair agreement between simulated and experimental results was obtained. The fractions of a few percent of wave energy dissipated in the exter-nal load were well below the 50 percent achievable for a harmonic wave under condition of electrical impedance matching.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2007. 71 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 363
Keyword
Technology, Piezoelectric, wave, generation, damping, bar, TEKNIKVETENSKAP
Identifiers
urn:nbn:se:uu:diva-8304 (URN)978-91-554-7018-0 (ISBN)
Public defence
2007-12-13, 2001, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 10:15
Opponent
Supervisors
Available from: 2007-11-07 Created: 2007-11-07Bibliographically approved

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Jansson, AndersLundberg, Bengt

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