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1
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Sound Radiation by Vibrating Building Partitions in Terms of Acceptable Vibration Values

100%
Szeląg A., Stypuła K., Kamisiński T.
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vol. 125
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issue 4A
A-122-A-126
EN
The subject of this study is an analysis of the phenomenon of sound radiation generated by vibrating building partitions in terms of acceptable vibration values set out in PN-88/B-02171: Evaluation of the vibration impact on people in buildings. The aim of the research was to determine conditions when vibration limits, determined as those providing the required human comfort according to the standard, do not meet the requirements of PN-87/B-02151/02 describing sound level limits in rooms. In order to carry out research showing the phenomenon, various aspects of sound radiation by vibrating building partitions were analyzed theoretically. It was assumed that the vibration velocity of elements did not exceed the limits specified in the standard. Calculations were carried out, in particular, for variants with variable thickness or surface of vibrating partition as well as various types of the construction material. Furthermore, the minimum vibration duration was determined for which the values of noise exceeded the sound level limits.
2
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Evaluation of the Active Plate Vibration Reduction by the Parameter of the Acoustic Field

100%
Brański A., Szela S.
Acta Physica Polonica A
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2011
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vol. 119
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issue 6A
942-945
EN
Effectiveness of the active vibration reduction of triangular plate is evaluated by way of the analysis of acoustical field. The active vibration reduction is performed with actuators. The effect is measured by the analysis of the acoustical field both far distance and near one from the plate. As the control parameter, the difference between acoustical pressures is considered. The first pressure and the second one are radiated by the plate without and with the vibration reduction, respectively. The control parameter is calculated for two reduction cases. First case, when actuators are attached at so-called quasi-optimal places and second one, when they are shifted. The numerical calculations show that the acoustical field is sensitive to change of the plate active vibration reduction. It responds to even little changes of the plate vibrations in both active reduction cases mentioned above. So that it is handy indirect control parameter of the active vibration reduction.
3
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Content available

Phononic Band Gap Width Control through Structural and Material Parameters in Two-Dimensional Phononic Crystals

100%
Śliwa I., Krawczyk M.
Acta Physica Polonica A
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2005
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vol. 108
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issue 6
943-957
EN
The phononic band structures of two-dimensional solid phononic crystals with different lattice and scatterer symmetry are studied numerically, with three types of lattice (square, triangular, and rectangular) and four different scatterer shapes (circle, hexagon, square, and rectangle) considered. XY and Z vibration modes are investigated separately. Two types of phononic crystal are considered: one composed of high-density rods embedded in a low-density matrix, the other of low-density rods in a high-density matrix. In the former case, lattice type and polarization being fixed, the broadest gaps are obtained when the symmetry of the rods corresponds to that of the lattice (the shape of a rod is identical with that of the first Brillouin zone); the largest gap width values are observed in triangular lattice-based crystals (compared to those based on the square and rectangular lattices), the shape of the corresponding first Brillouin zone being closest to a circle. These rules do not apply to structures in which the density of the rod material is lower than that of the matrix. In this case, when the symmetry of the rods corresponds to that of the lattice, gaps either fail to appear at all, or are much narrower than in other configurations. The effect of other material parameter values (such as the longitudinal and transversal velocity values) on the relation between the energy gap width and the scatterer symmetry is found to be much lesser.
4
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Asymptotic Formulae of the Modal Acoustic Impedance for the Asymmetric Vibrations of a Clamped Circular Plate

100%
Rdzanek W., Rdzanek W., Szemela K.
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issue 1
141-154
EN
The asymptotic and approximate formulae for the asymmetric modal acoustic self- and mutual-impedance have been presented for a clamped circular plate embedded into a flat rigid baffle. The formulae have been obtained for the wide frequency band covering the low frequencies, the high frequencies and the middle frequencies. The high frequency asymptotics have been achieved using the method of contour integral and the method of stationary phase. The products of the Bessel and Neumann functions have been expressed as the asymptotic expansions. Further, the approximate formulae valid within the low and middle frequencies have been obtained from the high frequency asymptotics using some mathematical manipulations. The formulae presented are valid for both the axisymmetric vibrations and the asymmetric vibrations.
5
Content available remote

Impulse and Resonant Response in Systems Showing Secular and Leaky Excitations

100%
Sobieszczyk P., Gałązka M., Trzupek D., Zieliński P.
Acta Physica Polonica A
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2013
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vol. 124
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issue 6
1020-1024
EN
A model consisting of a string embedded in an elastic medium and terminated by a harmonic oscillator has been studied in the frequency and time domains to elucidate the physical effects of supersonic and subsonic leaky waves as well as that of true surface waves. A supersonic leaky wave manifests itself by a resonant maximum of the local density of states within the band of bulk waves and by an anomalous dispersion of the real part of the frequency dependent response function. The time domain impulse response then contains mainly resonant contribution from the poles of the response function in analogy to ordinary resonances. True surface waves show generally analogous behaviour. Here, however, the phenomenon is governed by dissipation mechanisms different from the radiation into the bulk. An important difference is that the impulse response contains equilibrated contributions due to the poles and due to the stop frequency gap in the case of true surface waves. The main manifestation of a subsonic leaky wave, i.e. a surface resonance with the frequency situated in the stop gap, is a sharp peak of the real part of the frequency-dependent response function just at the bottom of the bulk waves band. This is in certain analogy with a large reactive power in electric circuits. A strong destructive interference of the resonant part of the impulse response with the part due to the gap makes the time domain response fast attenuated.
6
Content available remote

The Total Acoustic Power of a Clamped Circular Plate Located at the Boundary of Three-Wall Corner Region

88%
Szemela K., Rdzanek W., Pieczonka D.
Acta Physica Polonica A
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2011
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vol. 119
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issue 6A
1050-1060
EN
The energetic aspect of the sound radiation has been analyzed in the case of the three-wall corner region. This region is the part of space bounded by three baffles arranged perpendicularly to one another. The Neumann boundary value problem has been solved assuming that the sound source is the vibrating circular plate embedded in one of the baffles of the three-wall corner region. The Kelvin-Voigt theory of a visco-elastic plate has been used which allows to include internal attenuation existing in the plate material. It has been assumed that the sound source is excited to vibrations by the external pressure asymmetrically distributed on the plate surface. The modal coefficients of the acoustic impedance have been obtained in the form of the expressions containing single integrals only. The formula describing the acoustic power of the analyzed sound source has been presented as a fourfold infinite series containing the modal coefficients of the acoustic impedance. The influence of some asymmetric excitations on the acoustic power has been analyzed. The possibilities of the modelling some uniform excitations located on the plate fragment of the small area by the point force excitation has been examined. The influence of the transverse baffles on the acoustic power has also been investigated. It has been determined for which frequency the baffles influence on the acoustic power is the greatest.
7
Content available remote

The Acoustic Pressure Radiated by a Vibrating Circular Plate within the Fraunhofer Zone of the Three-Wall Corner Region

88%
Szemela K., Rdzanek W., Rdzanek W.
Acta Physica Polonica A
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2012
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vol. 121
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issue 1A
A-100-A-109
EN
The Neumann boundary value problem has been solved for the region bounded by the three perfect rigid infinite baffles arranged perpendicularly to one another. The harmonically vibrating clamped circular plate embedded in one of the baffles is the sound source. It has been assumed that the amplitude of the plate's transverse vibrations is small to use the linear Kelvin-Voigt theory. The Green function has been applied to obtain the asymptotic formulae describing the distribution of the acoustic pressure within the Fraunhofer zone. The analysis of sound radiation has been performed for some selected surface excitations and for some different plate's locations. The acoustic pressure distribution has been examined including the acoustic attenuation and the internal attenuation of the plate's material.
8
Content available remote

New Multimode Sonotrodes Models Designed for Rotary Ultrasonic Welding Systems

75%
Kogut P., Milewski A., Kardyś W., Kluk P., Gawryś P.
Acta Physica Polonica A
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2013
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vol. 124
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issue 3
474-478
EN
The paper presents methods of designing sonotrodes, working in varied mechanical vibration modes in high power application regime such as rotary ultrasonic welding systems. The aim of the sonotrode design process is to optimize its shape to achieve the best energy efficiency for a given welding process. Sonotrode geometry influences the power transferred to the welded element because it determines the vibration amplitude distribution in the sonotrode. The most popular applications use sonotrodes designed for axial vibration. Conducted research have shown that the optimal displacement and strain distribution is achieved for sonotrodes working in various vibration modes such as axial, transverse, radial or their compositions. In the paper examples of multimode sonotrode models for various rotary ultrasonic welding technologies have been presented.
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