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Spectral Properties of Circular Piezoelectric Unimorphs

Pustka M., Půst L.

Archives of Acoustics

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2017

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Vol. 42, No. 4

743--751

EN

The piezoelectric unimorphs are essential resonant components of many oscillating systems including electroacoustic devices. The unimorph spectral properties are namely dependent on geometric dimensions, applied materials and mounting. Preliminary dimensioning and optimization of unimorph shape are usually carried out prior to comprehensive design work mostly based on finite element method. Simple analytical model is a suitable tool for initial design phase. This paper presents a derivation of calculation model describing natural vibrations of a circular unimorph with the piezoelectric layer diameter smaller than the elastic layer diameter. The system of equations with closed-form solution is instrumental to calculation of resonant frequencies and mode shapes for unimorphs with clamped, simply supported and free circumference. The theoretical results are compared with vibration velocity measurement of clamped unimorph sample in a wide frequency range. Analytical model derived in this paper is used to assess the effect of the thickness tolerance on unimorph resonant frequencies.

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Numerical Study of Forced Vibration Suppression by Parametric Anti-Resonance

Pešek L., Šulc P., Půst L.

Archives of Acoustics

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2016

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Vol. 41, No. 3

527--533

EN

The parametric anti-resonance phenomenon as an active damping tool for suppression of externally excited resonant vibration is numerically studied herein. It is well known fact that the anti-resonance phenomenon, i.e. the stiffness periodic variation by subtractive, combination resonance frequency, brings stabilization and cancelling into self-excited vibrations. But this paper aims at a new possibility of its application, namely a damping of externally excited resonant vibration. For estimation of its effect we come both from a characteristic exponent of the analytical solution and numerical solution of forced vibration of 2DOF linear system with additional parametric excitation. The amplitude suppression owing to the parametric anti-resonance is studied on several parameters of the system: a depth of parametric excitation, mass ratio, damping coefficient and small frequency deviations from the parametric anti-resonance.

3

Application of Piezofilms for Excitation and Active Damping of Blade Flexural Vibration

Pešek L., Půst L., Bula V., Cibulka J.

Archives of Acoustics

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2015

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Vol. 40, No. 1

59--69

EN

The steam turbine blades of low pressure stages are endangerd by the high-cyclic fatigue due to the combined loading of dynamic stresses by the steam time-variant pressure and the pre-stress from centrifugal forces. Therefore, the importance of their experimental dynamic analysis in the design stage is critical. For laboratory tests of the blades, the piezo actuators placed on the blades, unlike electromagnets placed in the stationary space, give a possibility to excite the flexural vibration of the blades within the bladed disk by time continuous forces independently of the rotor revolutions. In addition, the piezo actuators can be also used to control the vibrations of the blade. Therefore, several dynamic experiments of the clamped model blade equipped with PVDF films were performed for the force description of the piezo foils and their behavior as actuators of the blade vibration. The numerical beam models were used for numerical analysis of the vibration suppression effects both by additional parametric excitation and by active damping. The optimal phase shift of piezo actuator voltage supply was ascertained both for amplitude amplification and suppression. The results contribute to the knowledge of the actuation and active damping of blade vibration by the piezo elements.

4

Blade couple connected by damping element with dry friction contacts

Pešek L., Půst L.

Journal of Theoretical and Applied Mechanics

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2014

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Vol. 52 nr 3

815--826

EN

Theoretical and experimental solutions of forced vibration of a three-mass system linked together by two dry friction connections are presented. This system is a computational model of a physical model of a blade couple with a friction element measured in dynamic laboratory of Institute of Thermomechanics AS CR. Numerical solution of strongly nonlinear equations of motion shows good damping properties of the dry friction element and correspond to the results of experimental research, which is oriented on the investigation of both forced and free vibration of the physical blade couple model.