Quasi-optimal PZT distribution in active vibration reduction of the triangular plate with P-F-F boundary conditions

Brański, A.; Szela, S

doi:10.2478/v10170-010-0014-7

Cited by 14 publications

(25 citation statements)

References 13 publications

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“…It is possible if the signs of κ ν (x P ) and f P are the same, namely positive or negative. An idea of description of the signs of κ ν (x P ) and f P arise from the physical interpretation of the active vibration reduction; it is so-called the signs convention and is described in detail in [3,15,16]. Assume that all PZTs are exactly the same, hence {f P } = {f 0 } and { P } = { 0 }.…”

Section: Beam Vibration Reduction By Pztmentioning

confidence: 99%

“…This problem was solved [3,[15][16][17]. It was proved there that the most effective PZTs distribution is on the structure sub-domains with the largest curvatures; such distribution is called quasi-optimal one (QO).…”

Section: Introductionmentioning

confidence: 99%

“…This means that the minimum energy is added to the system and consequently, the maximum effectiveness of the p--reduction is assured. An effectiveness measure of the reduction is an effectiveness coefficient; it is defined in [3,15,16].…”

Section: Introductionmentioning

confidence: 99%

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Analytical Determination of the PZTs Distribution in Active Beam Vibration Protection Problem

Brański

Lipiński

2011

Acta Phys. Pol. A

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The paper concerns an active vibration protection (p-reduction) of the structure via piezoelectric transducers; p-reduction corresponds to an active vibration reduction (a-reduction). The quantity and effectiveness of the (a-or p-) reduction, among other parameters, depend on the piezoelectric transducers distribution on the structure. The best results are obtained bonding piezoelectric transducers to the structure in the sub-domains with the largest curvatures; it is so-called quasi-optimal distribution of the piezoelectric transducers. Up to now, the quasi-optimal distribution was determined based on heuristic reasons only. The aim of the paper is to confirm quasi-optimal distribution in analytical way. The beam clamped at one end, vibrating with first three modes separately, is chosen as the research object. It is assumed that the piezoelectric transducers are exactly the same. Demanding the vibration amplitude to be equal to zero (i.e. p-reduction condition), the general formula for interacting forces piezoelectric transducers-beam is derived. Next, such an appropriate distribution of piezoelectric transducers is searched analytically, that the minimal forces are achieved; it leads to the best reduction effectiveness. It turned out that the analytical method pointed out quasi-optimal distribution of the piezoelectric transducers. The validation of theoretical considerations is confirmed numerically.

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Section: Beam Vibration Reduction By Pztmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical Determination of the PZTs Distribution in Active Beam Vibration Protection Problem

Brański

Lipiński

2011

Acta Phys. Pol. A

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“…In recent decades, the application of piezoelectric elements for the reduction of vibrations, especially of bending type, has been considered in many publications -e.g. (Brański, Szela, 2010;Filipek, Wiciak, 2008;Hohl et al, 1996;Kozień, Wiciak, 2008;2009;Leniowska, 2009). The other problem, not considered in the article, is choosing the proper control algorithm -see e.g.…”

Section: Introductionmentioning

confidence: 99%

FEM Analysis of Active Reduction of Torsional Vibrations of Clamped-Free Beam by Piezoelectric Elements for Separated Modes

Augustyn¹,

Kozień²,

Prącik³

2015

Archives of Acoustics

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Beams with rectangular cross-section, with large length-to-width ratio, can be excited to torsional vibrations. If the piezoelectric elements are mounted to the beam in pairs at the same cross-section with two separated elements positioned on the same side of the beam, and the voltages applied to them are in the opposite phase, they produce twisting moments which can be applied to reduce the torsional vibrations. Results of FEM simulations are presented and analysed in the paper. All analyses are performed for a steel free-clamped beam. The piezoelectric elements made of PZT material are mounted in pairs on one side of the beam. The analyses are done for separated natural modes.

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“…The piezoelectric effect provides the ability to use these materials as both sensors and actuators [1]. The application of PZTs for reducing vibrations and structure-borne noise [2][3][4][5] has been studied by many researchers in the past few years [1,2,6,7]. The passive control strategies for smart materials consist almost entirely of various shunt circuit techniques [8].…”

Section: Introductionmentioning

confidence: 99%

Active Vibration Control of Rectangular Plate with Distributed Piezoelements Excited Acoustically and Mechanically

Kozupa

Wiciak

2010

Acta Phys. Pol. A

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The paper presents simulations and research results of testing of the aluminium plate with active vibration control. The aim of this paper is to analyze and compare two ways of excitation of the test plate, various influence on its vibrations and active damping control. Vibration control of the smart structure is realized through four piezoceramic PZT actuators and one PZT sensor bonded to the plate. Simulations and numerical computations of the structure are performed in ANSYS environment. Measurements are executed on specialized sound insulation suite for small elements in reverberation chamber. At the beginning white noise sound source is used in purpose to measure basic vibration modes. After numerical computations and measurements three particular frequencies has been chosen and for them active damping is applied. There are two ways of exciting the test plate; first method is sound wave, second is mechanical vibrations via one of piezoceramics. The test results indicate that PZTs can decrease vibrations by approximately 15 dB for a pure sound input with acoustic excitation method, for mechanical excitation method 18 dB for a sinus vibration signal is achieved.

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Quasi-optimal PZT distribution in active vibration reduction of the triangular plate with P-F-F boundary conditions

Cited by 14 publications

References 13 publications

Analytical Determination of the PZTs Distribution in Active Beam Vibration Protection Problem

Analytical Determination of the PZTs Distribution in Active Beam Vibration Protection Problem

FEM Analysis of Active Reduction of Torsional Vibrations of Clamped-Free Beam by Piezoelectric Elements for Separated Modes

Active Vibration Control of Rectangular Plate with Distributed Piezoelements Excited Acoustically and Mechanically

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