Evaluation of the Active Plate Vibration Reduction by the Parameter of the Acoustic Field

Brański, A.; Szela, S

doi:10.12693/aphyspola.119.942

Cited by 13 publications

(18 citation statements)

References 14 publications

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“…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%

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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: 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%

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

Brański

Lipiński

2011

Acta Phys. Pol. A

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“…s , y (2) s , 0) indicate the points located at the surface of the first and the second membrane, respectively. The location of the membranes' central points in the global Cartesian coordinates system is defined by the vectors l (1) = (l…”

Section: Analysis Assumptionsmentioning

confidence: 99%

“…2. Locations of the membranes on the horizontal baffle of the three-wall corner region: vectors describing the locations of sources' central points l (1) , l (2) , local polar coordinates system (r …”

Section: Analysis Assumptionsmentioning

confidence: 99%

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Acoustic Power Radiated by a System of Two Vibrating Circular Membranes Located at the Boundary of Three-Wall Corner Spatial Region

Szemela¹,

Rdzanek²

2012

Archives of Acoustics

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Two vibrating circular membranes radiate acoustic waves into the region bounded by three infinite baffles arranged perpendicularly to one another. The Neumann boundary value problem has been investigated in the case when both sources are embedded in the same baffle. The analyzed processes are time harmonic. The membranes vibrate asymmetrically. External excitations of different surface distributions and different phases have been applied to the sound sources' surfaces. The influence of the radiated acoustic waves on the membranes' vibrations has been included. The acoustic power of the sound sources system has been calculated by using a complete eigenfunctions system. Keywords: three-wall corner region, Green function, Neumann boundary value problem, modal analysis, asymmetric vibrations, vibration of an excited circular membrane, acoustic power, mutual interaction of sound sources.

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High Frequency Approximation for the Modal Acoustic Impedance Coefficients of a Circular Plate Located at the Boundary of the Three-Wall Corner Region

Szemela

2013

J. Comp. Acous.

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The high frequency asymptotic formulas for the acoustic impedance modal coefficients of a clamped circular plate located at the boundary of the three-wall corner region have been obtained. The method of contour integral analysis, the series for the Bessel and Neumann functions and the stationary phase method have been used. Some sample modal coefficients of the acoustic resistance and reactance together with the absolute approximation error have been illustrated as the functions of a parameter proportional to the vibration frequency. The computational efficiency of the presented asymptotic formulas has been compared with the computational efficiency of the integral formulas. The cases, in which the asymptotic formulas allow to reduce the calculation time in comparison with the integral formulas, have been determined. The presented formulas can be used to decrease the computation time of the acoustics power radiated by a clamped circular plate located at the boundary of the three-wall corner region. Moreover, the sound pressure calculations can be performed much faster by using these formulas when the acoustic attenuation is included.

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Evaluation of the Active Plate Vibration Reduction by the Parameter of the Acoustic Field

Cited by 13 publications

References 14 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

Acoustic Power Radiated by a System of Two Vibrating Circular Membranes Located at the Boundary of Three-Wall Corner Spatial Region

High Frequency Approximation for the Modal Acoustic Impedance Coefficients of a Circular Plate Located at the Boundary of the Three-Wall Corner Region

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