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Generation of prescribed strain waves in an elastic bar by use of piezoelectric actuators driven by a linear power amplifier
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, Solid Mechanics.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Solid Mechanics.
2007 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 306, no 3-5, 751-765 p.Article in journal (Refereed) Published
Abstract [en]

The problem of generating prescribed strain waves in an elastic bar by means of a pair of piezoelectric actuators driven in phase by a linear power amplifier was considered theoretically and experimentally. The power amplifier was characterized by its DC voltage gain and 3 dB cut-off frequency unloaded, and by its output resistance and inductance. With the assumption of one-dimensional (1D) wave propagation in the bar, including the actuator region, a linear difference equation was derived for the required input voltage to the power amplifier in terms of the strain associated with the prescribed wave. This difference equation was solved numerically for a bell-shaped strain wave and for a single-period sine strain wave. After identification of the linear power amplifier, two tests were carried out with the aim to generate the two strain waves in an aluminium bar instrumented with semi-conductor strain gauges. Very good agreement was obtained between the implemented and required input voltages, output voltages and output currents of the power amplifier, and good agreement was achieved between the implemented and prescribed strain waves.

Place, publisher, year, edition, pages
2007. Vol. 306, no 3-5, 751-765 p.
Keyword [en]
Stress measurement, Resistance strain gauge, Difference equation, Aluminium, Voltage, Linear motor, Piezoelectric sensor, Piezoelectric actuators, Sinusoidal wave, Cut off frequency, Power amplifier, Elastic wave, Elastodynamics, Strain wave
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-96419DOI: 10.1016/j.jsv.2007.06.013ISI: 000249373400020OAI: oai:DiVA.org:uu-96419DiVA: diva2:170987
Available from: 2007-11-07 Created: 2007-11-07 Last updated: 2016-04-08Bibliographically 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, AndersValdek, UrmasLundberg, Bengt

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