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Three-port impedance model of a piezoelectric bar element: Application to generation and damping of extensional waves
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.
2008 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 315, no 4-5, 985-1002 p.Article in journal (Refereed) Published
Abstract [en]

A straight bar element containing piezoelectric members is viewed as a linear system with one electrical and two mechanical ports where it can interact with external electrical and mechanical devices through voltage, current, forces and velocities. A generalized force vector, with one voltage and two forces as elements, is expressed as the product of an impedance matrix and a generalized velocity vector, with one current and two velocities, as elements. Due to symmetry and reciprocity, this matrix is defined by four of its nine elements. Two applications are considered for a piezoelectric bar element (PBE) that constitutes a part of a long elastic or viscoelastic bar, viz. generation and damping of extensional waves in the bar. In the first, the PBE is driven by a given input voltage or by the output voltage from a linear power amplifier. In the second, the PBE supplies an output voltage to an external load. In numerical simulations carried out for a specific laminated PBE, an elastic bar, a serial RL load and a bell-shaped incident wave, the highest fraction of wave energy dissipated was 8.1%. This is much less than the 50% achievable for a harmonic wave under condition of electrical impedance matching.

Place, publisher, year, edition, pages
2008. Vol. 315, no 4-5, 985-1002 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-96420DOI: 10.1016/j.jsv.2008.02.013ISI: 000257517000012OAI: oai:DiVA.org:uu-96420DiVA: diva2:170988
Available from: 2007-11-07 Created: 2007-11-07 Last updated: 2016-04-13Bibliographically 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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Lundberg, Bengt

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