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Vol 69, No 2 (2023)

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КЛАССИЧЕСКИЕ ПРОБЛЕМЫ ЛИНЕЙНОЙ АКУСТИКИ И ТЕОРИИ ВОЛН

Diffraction of a Whispering Gallery Mode at a Jumply Straightening of the Boundary

Zlobina E.A., Kiselev A.P.

Abstract

Diffraction of a high-frequency small-number whispering gallery mode running along a concave boundary, which turns into a flat one so that its curvature experiences a jump, is studied. The cases of rigid (Neumann) and soft (Dirichlet) boundary conditions are considered. Within the framework of the parabolic equation method, a mathematically correct scattering problem is obtained which is solved explicitly and investigated asymptotically in detail. Analytic expressions are found for all emerging wavefields. In particular, an edge wave diverging from the point of non-smoothness of the boundary is described. For the rigid condition, its amplitude is proportional to the magnitude of curvature jump, but not for the soft condition.

Akustičeskij žurnal. 2023;69(2):119-128
pages 119-128 views

The Sommerfeld Integral in Problems of Simulating the Diffraction of Acoustic Waves Using a Triangular Lattice

Makarov O.I., Shanin A.V., Korolkov A.I.

Abstract

Analytical solutions are obtained for two problems for a discrete analogue of the Helmholtz equation on a triangular lattice: (1) the problem of radiation from a point source on a plane; (2) the problem of diffraction on a half-line with Dirichlet boundary conditions. It is shown that in these problems, the complete field can be represented as an integral of an algebraic function over a family of contours located on some complex manifold. The solution to the first problem is found as an integral of some differential form over this manifold, and the asymptotics of the far field for this solution is obtained. The second problem is solved using an analogue of the Sommerfeld integral. It is checked that the obtained solution coincides with the solution of this problem by the Wiener–Hopf method.

Akustičeskij žurnal. 2023;69(2):129-145
pages 129-145 views

АТМОСФЕРНАЯ И АЭРОАКУСТИКА

Validation of a Two-Point Jet–Wing Interaction Noise Model for a Realistic Configuration

Bychkov O.P., Faranosov G.A.

Abstract

For the case of a realistic small-scale “double-stream nozzle–high-lift wing” configuration, a previously developed simplified semiempirical method for calculating the low-frequency noise of jet–wing interaction is tested. As input data for calculating the noise, we used the results of measuring the amplitude and convective velocity of perturbations in the near field of a turbulent jet near the trailing edge of an extended flap. The measurements were performed with a pair of pressure sensors flush-mounted on the lower surface of the wing model. It is demonstrated that the results of the calculated estimate for the spectral characteristics and directivity of the interaction noise agree well with direct noise measurements in the far field both under static conditions and in the presence of coflow simulating the effect of flight.

Akustičeskij žurnal. 2023;69(2):146-154
pages 146-154 views

Method for Optimal Analytical Approximation of Time Samplings in Analyzing Nonstationary Periodic Signals

Vishnyakov A.N., Makashov S.Y.

Abstract

An algorithm has been developed for determining the frequency and amplitude of the harmonic components of a weakly nonstationary acoustic signal, which also contains random noise and drift of the constant component. The algorithm was tested on a signal simulating flight of an aircraft over a measurement point. For a model source simulating a the propeller of UAV, the possibility of determining the harmonic amplitudes of a propeller with varying revolutions and under noise interference conditions was demonstrated using the unique scientific installation the TsAGI AC-2 anechoic chamber with flow.

Akustičeskij žurnal. 2023;69(2):155-164
pages 155-164 views

Localization and Ranking of Aircraft Noise Sources in Flight Tests and Comparison with Acoustic Measurements of a Large-Scale Wing Model

Zaytsev M.Y., Kopiev V.F., Velichko S.A., Belyaev I.V.

Abstract

The noise of a modern regional aircraft was measured using the beamforming method during flight tests in the landing approach configuration with extended landing gear and deflected high-lift devices (slats and flaps). The localization and ranking of aircraft noise sources for full-scale Reynolds numbers has been carried out. Comparison of the flight test results with the results of acoustic measurements of airframe noise for a large-scale wing model obtained earlier at DNW-NWB showed good agreement between noise measurements of the large-scale model, scaled to full size, with the results for the airframe noise of an aircraft wing in flight tests.

Akustičeskij žurnal. 2023;69(2):165-176
pages 165-176 views

Active Control of Jet–Wing Interaction Noise Using Plasma Actuators in a Narrow Frequency Band

Kopiev V.F., Bychkov O.P., Kopiev V.A., Faranosov G.A., Moralev I.A., Kazansky P.N.

Abstract

For a jet located near the wing, instability waves present in jet mixing layer scatter on the wing trailing edge, leading to additional noise generation. In this article, the possibility of reducing this noise by active cancellation of natural instability waves has been experimentally studied. The active control system consists of near-field microphones from which the feedback signal is taken, a data processing module for signal filtering, and a high-frequency dielectric barrier discharge plasma actuator. Decrease in pressure perturbations in the near field of a turbulent jet associated with axisymmetric instability waves in a narrow frequency band was demonstrated. It was shown that this reduction leads to a corresponding noise decrease in the far field.

Akustičeskij žurnal. 2023;69(2):177-190
pages 177-190 views

Improving the Localization Accuracy of Dipole Sound Sources Using Planar Microphone Arrays

Kopiev V.F., Ershov V.V., Khramtsov I.V., Kustov O.Y.

Abstract

A method has been developed for tuning the microphone array for optimal visualization of acoustic dipoles. Acoustic dipoles were generated under experimental conditions in an anechoic chamber using a subsonic air flow around a thin metal rod and thin rectangular plate. To confirm the operability of this approach, we compared the visualization maps obtained using the approach with the results obtained with a similar array class tuned in the traditional monopole method. The developed approach, which adapts the array to the dipole radiation model and modifies the transfer functions that take into account the influence of the incidence pattern of sound waves, demonstrates an increase in the array’s dynamic range with optimal microphone placement.

Akustičeskij žurnal. 2023;69(2):191-206
pages 191-206 views

The Effect of the Step Height on the Wall Pressure Fluctuations near Its Side Edge in the Turbulent Boundary Layer

Kuznetsov S.V., Golubev A.Y.

Abstract

Wall pressure fluctuations in a turbulent flow are a source of noise and vibrations in elastic structures immersed in a flow. This paper presents the results of an experimental study on the effect produced by the height of a step on the spatiotemporal structure of wall pressure fluctuations in the vicinity of its side edge in the turbulent boundary layer. Measurements were performed in a subsonic low-noise wind tunnel of the Moscow Complex of the Zhukovsky Central Aerohydrodynamic Institute. The height of a step was varied from 3 to 17% of the incident-boundary-layer thickness. It has been shown that the area of the most intensive pressure fluctuations is located near the frontal side corner of the step. The characteristic Strouhal number determining the spectra of pressure fluctuations behind the leading edge of the step was established. An essential effect of the step height on the spatiotemporal structure of the pressure field in the vicinity of the side edge was shown. The obtained results evidence the existence of a strong correlation with the field of pressure fluctuations in the incident turbulent boundary layer in the case of steps with a small height.

Akustičeskij žurnal. 2023;69(2):207-215
pages 207-215 views

Validation of a Method for Determining the Modal Composition of a Tonal Sound Field in a Cylindrical Duct Based on Synchronous Measurements in the Duct and the Far Field in Absence of Flow

Ostrikov N.N., Yakovets M.A., Ipatov I.S., Pankratov I.V.

Abstract

A method has been developed for determining the modal composition of correlated sound modes propagating in a cylindrical duct, the peculiarity of which is that the effect of sound reflection from the open end of the duct is taken into account by numerical or analytical calculation of the reflection coefficients. This method was validated in the TsAGI AC-2 anechoic chamber, in which the sound field was created in the duct of a small-scale air intake model using 12 speakers at fixed frequencies; the modal composition was determined using 48 microphones installed flush with the duct walls, and synchronous measurements of the directivity of sound emission from the open end of the duct in the far field were carried out. In this case, on based on the found amplitudes of sound modes in the duct, the radiation characteristics in the far field were calculated using an analytical solution for sound emission from a semi-infinite cylindrical duct, the results of which were compared with the measurement results. It is shown that the amplitudes of sound modes found according to the developed method make it possible to reconstruct the far sound field characteristics with high accuracy in cases where the number of generated propagating modes in the duct does not exceed the number of installed microphones in the cylindrical array.

Akustičeskij žurnal. 2023;69(2):216-229
pages 216-229 views

Evaluation of the Impedance Variability Effect of Acoustic Liner on Aircraft Engine Fan Noise in Calculation of Far Field Sound Modes Propagation

Palchikovskiy V.V., Kuznetsov A.A., Pavlogradskiy V.V.

Abstract

The influence of the impedance variability of the acoustic liner of an air intake on aircraft engine fan noise in the far field has been studied. The calculations were carried out in an axisymmetric statement for single modes based on the finite element solution to the Blokhintsev equation for the acoustic potential. The acoustic liner impedance was determined from a well-developed semiempirical model that takes into account the influence of a high sound pressure level (SPL) and grazing flow. A procedure has been developed for calculating the propagation of single sound modes through the air intake of an aircraft engine with a variable liner impedance depending on the flow velocity and SPL at a local point. The calculation procedure has been validated. Calculations were made for single mode propagation into the forward hemisphere for an air intake on the wall of which the following conditions were set: rigid wall, constant impedance (the impedance does not change along the liner) and variable impedance (the impedance changes along the liner depending on the changes in the velocity of the grazing flow and SPL). According to the calculation results, it was found that constant and variable impedances yield different SPL values in the far field; as well, taking into account the impedance variability changes not only the SPL values in the far field, but also the direction of the maximum mode radiation.

Akustičeskij žurnal. 2023;69(2):230-241
pages 230-241 views

АКУСТИЧЕСКАЯ ЭКОЛОГИЯ. ШУМЫ И ВИБРАЦИИ

Ground Tests of Rectangular Nozzle with Noise Reduction Devices on Aircraft

Belyaev I.V., Makashov S.Y., Zaytsev M.Y., Yudin V.G., Potapov A.V.

Abstract

The importance of jet noise for prospective supersonic transport (SST) in takeoff and climb modes dictates the need to develop methods for reducing jet noise and their subsequent validation in large- and full-scale tests. This paper presents the results of Russia’s first ground acoustic tests of a rectangular nozzle with a noise suppression system, installed on a subsonic aircraft engine to demonstrate the technology. The authors studied a rectangular beveled nozzle with an ejector and screens—elements of the SST airframe. The test results were compared for three nozzle geometries: a round nozzle corresponding to measurements for the original engine without modifications, a rectangular nozzle without screens, and a rectangular nozzle with screens. It was found that when the rectangular nozzle without screens is used, there two opposite effects occur: noise amplification compared to the round nozzle for angles of observation close to the jet axis, and noise attenuation at angles of observation close to the fan rotation plane. Installing screens increases noise up to 5 dB in the low-frequency region below 150 Hz and reduces noise by 2 dB for frequencies higher than 250 Hz. Estimation of community noise in the EPNL metric showed that this rectangular nozzle with the noise suppression system has the effect of reducing community noise in comparison with the baseline round nozzle.

Akustičeskij žurnal. 2023;69(2):242-248
pages 242-248 views

Comparative Analysis of the Acoustic Characteristics of Composite and Metal Panels Under Sound and Pseudosound Excitation

Zverev A.Y.

Abstract

The results of experimental studies to determine the acoustic and vibroacoustic characteristics of a panel made of a polymer composite material are presented in comparison with the characteristics of a reinforced metal panel of comparable mass and relative stiffness. A comparative analysis of the characteristics was carried out for an unlined panel and a panel lined with a vibration-absorbing material in the case of their excitation by sound and pseudosound fields of pressure fluctuations

Akustičeskij žurnal. 2023;69(2):249-260
pages 249-260 views

ФИЗИЧЕСКИЕ ОСНОВЫ ТЕХНИЧЕСКОЙ АКУСТИКИ

Impact Damage Influence Investigations on the Composite Skin-Stringer Joint Fatigue Characteristics Under Conditions of Vibroacoustic Loading

Dubinskii S.V., Sevastyanov F.S., Kostenko V.M., Denisov S.L.

Abstract

The article presents the results of studying the fatigue characteristics of skin–stringer joints (T‑samples) made of a polymer composite material subjected to random vibroacoustic loading with a wide spectrum. Experimental data were analyzed to determine the damage initiation and growth mechanisms, as well as the criterion and failure mode for samples with and without impact damages. The effect of impact damage on the fatigue characteristics of the test samples at different impact energies and vibroacoustic loading levels is demonstrated. The main patterns of the influence of defects on the fatigue characteristics are revealed, which can be used in the future in creating computational models for damage development in structures made of the polymer composite material under vibroacoustic loading.

Akustičeskij žurnal. 2023;69(2):261-269
pages 261-269 views

Tangential Impedance

Kanev N.G.

Abstract

The problem of reflection of a plane sound wave from a rigid surface covered with dipole resonators is solved. It is shown that such a surface responds to obliquely incident waves, while the found angular dependence of the reflection coefficient cannot be obtained for surfaces whose properties are described by conventional impedance. Therefore, the concept of tangential impedance is proposed: the ratio of tangential acoustic force on a surface to its normal velocity. It is shown that the tangential impedance can be both isotropic and anisotropic; i.e., the magnitude of the latter depends on the direction of the incident wave. It is proposed to call the corresponding surfaces unpolarized and polarized. In some cases, tangential impedance can be useful for macroscopic description of complex metasurfaces.

Akustičeskij žurnal. 2023;69(2):270-274
pages 270-274 views

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