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Article

An Aeroacoustic Study of Full-Scale and Small-Scale Generic Landing Gear Models with Identical Geometry

1
Central Aerohydrodynamic Institute (TsAGI), 105005 Moscow, Russia
2
China Aerodynamics Research and Development Center, Mianyang 621000, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2023, 13(4), 2295; https://doi.org/10.3390/app13042295
Submission received: 24 January 2023 / Revised: 6 February 2023 / Accepted: 8 February 2023 / Published: 10 February 2023
(This article belongs to the Special Issue Active Vibration and Noise Control)

Abstract

:
The paper reports on the results of acoustic measurements of full-scale and small-scale generic landing gear models, which have identical geometry and differ only by their scales. The large-scale landing gear models were simplified and lack small geometric details, which for the first time allows their results to be directly compared with those for the small-scale models of the same geometry. It is shown that after application of the scaling procedure to their noise spectra, the normalized results for broadband noise of the landing gear models of different scales are in good agreement with each other. This result seems to support the feasibility of developing technologies for low-frequency noise reduction of landing gears based on small-scale tests and allowing refinement of semi-empirical models of noise prediction for different landing gear elements.

1. Introduction

Landing gears are an important source of aircraft noise at approach and landing, which has motivated a significant amount of research on their noise [1,2,3]. A number of the studies have been concerned with comparing acoustic results for landing gears of different scales and geometric fidelity.
A classic work on the topic was published by Heller and Dobrzynski [4], who compared the noise of small-scale models of landing gears with the results of flight tests. The small-scale landing gears had a generic geometry, which was different from the landing gears of the aircraft (Jetstar, BAC 111, HS 125, and VC 10) in flight tests. Nevertheless, the comparison was generally favorable, although there were discrepancies in the normalized noise spectra for four-wheel landing gears. A possible explanation of these discrepancies was proposed by Crighton [1], who noticed that the noise spectra for the flight tests with four-wheel landing gears were considered in [4] for the gear bay doors closed, while the small-scale tests were carried out with an open wheel well. If the small-scale data are compared with the flight tests with open doors, the normalized noise spectra demonstrate a much better agreement.
Later, Hayes et al., performed a study [5] where a small-scale (4.6%) model of a DC-10 wing with a simplified main landing gear was investigated. The small-scale tests showed that the landing gear had a negligible effect on the airframe noise, which contradicted the flight tests where the effect of landing gear on measured noise was significant. Continuation of the work for a 6.3% wing model with simplified and detailed main landing gears of a B777 led to the important observation [6] that for higher frequencies the noise of the detailed landing gear model is higher than for the simplified one. This effect was then demonstrated for simplified and detailed 26% models of isolated main landing gears of the B777 [7], as well as main landing gears on the 26% wing model [8,9]. A comparison for the 6.3% high-fidelity main landing gear model with B777 flight tests was provided in [10,11], demonstrating a rather good agreement, despite significant scatter in the flight test data. The scatter often appears in flight tests results due to the uncontrolled environment of the experiment; therefore, it is important to perform full-scale experiments in the controlled environment of large anechoic facilities.
Indeed, a new era of experimental research has begun with the acoustic measurements of full-scale landing gears in anechoic conditions. In [12,13] such tests were performed for A320 and A340 landing gears, with a view on developing noise reduction technologies. A study on the full-scale B737 main landing gear with modifications and simplifications is provided in [14]; this work compares high-fidelity and low-fidelity full-scale landing gear models. A similar work was recently performed under the ALLEGRA project [15] for a full-scale nose landing gear model and in [16] for a 16.7% nose landing gear model of B777.
A comparison of full-scale and smaller-scale (25%) main landing gear models of A340 is reported in [17,18], where both the appearance of tones and broadband noise spectra were considered. The spectra for landing gear models were found to be in a good agreement, except for higher frequencies, which was explained by simplifications of fine details for the 25% model.
Noise results for an 18% wing model with a main landing gear, a full-scale model landing gear and flight tests are compared in [19]. Full-scale tests and flight tests give rise to similar noise spectra, whereas 18% model tests turned out to provide lower noise levels. Novel tests with the 18% model are reported in [20], where the agreement with full-scale and flight tests was improved, although discrepancies both in low-frequency and high-frequency parts of noise spectra were still observed. These small-scale landing gear models had slightly different geometry than full-scale landing gear and did not reproduce fine elements of the full-scale model.
This brief literature review demonstrates that noise results for small-scale and larger-scale landing gear models are typically determined for the models, which have different geometries (mostly with respect to fine details). Indeed, large-scale tests are expensive and are typically performed in the interests of the industry; therefore, they tend to use the most realistic models of landing gears or even real landing gears. At the same time, small-scale models do not exactly reproduce some details of the complex large-scale landing gears, thus simplifying their original geometry.
However, this poses the question of whether the differences in acoustic results are due to the differences in geometries or due to other reasons such as the Reynolds number effect, different scaling laws, or experimental errors. Therefore, it is important to isolate one of the effects to study its influence on noise spectra.
This paper aims at isolating the effect of landing gear geometry on its noise by considering full-scale and small-scale landing gear models with identical simplified geometry that differ only in their scale. The tests of the small-scale generic landing gear were performed in an anechoic chamber with flow AC-2 TsAGI (Moscow, Russia), whereas the large-scale landing gear models were tested in a large anechoic facility FL-17 CARDC (Mianyang, China).
In these tests, the large-scale landing gear models had simplified geometries and lacked small geometric details, which for the first time allowed their results to be directly compared with those for the small-scale models of the same geometry. It seems that this study of the geometry effect, where the landing gear models of different scales have identical geometry, is novel in its approach; the authors are not aware of such studies published in the open literature.
The paper is organized as follows. In the next Section, a brief description of anechoic facilities FL-17 CARDC and AC-2 TsAGI is provided. Section 3 describes the landing gear models that were tested in these facilities. Section 4 describes experimental corrections applied to the measured data in both facilities. Then, the comparison of the experimental results is performed in Section 5, and some conclusions regarding the scaling of the results of small-scale tests to the full scale are made.

2. Description of the Facilities

In this section, two anechoic facilities are described: anechoic chamber with flow AC-2 TsAGI (Moscow, Russia), where acoustic tests with small-scale landing gear models were performed, and anechoic wind tunnel FL-17 CARDC (Mianyang, China), where acoustic tests with full-scale landing gear models were carried out.

2.1. Anechoic Chamber with Flow AC-2 TsAGI

The free-jet anechoic facility AC-2 TsAGI (Figure 1) is designed for acoustic measurements in free-field conditions of subsonic and supersonic jets, airframe noise, propeller noise, etc. The interior chamber dimensions, including sound treatment (wedge tip to wedge tip), are 9.6 m × 5.3 m × 4.2 m. All interior surfaces of the chamber are acoustically treated using polyurethane wedges with a cut-off frequency of 160 Hz. For the airframe noise tests, a round nozzle with a diameter of 0.4 m was used, with the maximum flow speed being 80 m s−1.
The landing gear model was installed on a horizontal metal plate with sawtooth trailing edge serrations (Figure 2a) to reduce trailing edge noise. The nozzle and the support system were covered with sound-absorbing material to decrease sound reflections from them.
The microphones were installed at the sideline from the landing gear model at a distance of 1.265 m along the line parallel to the flow axis at azimuthal angles θ = 50°, 70°, 90°, and 110° (Figure 2b) and polar angles φ = 20° and 40° (Figure 2c). One microphone was located in the overhead position at (θ, φ) = (90°, 90°).
For the landing gear noise measurements, 9 multi-field microphones 1/4″ Bruel & Kjaer 4961 (frequency range 5 Hz –20 kHz, dynamic range 20–130 dB, sensitivity 60 mV Pa−1) were used. Before the tests, the microphones were calibrated with a pistonphone Bruel & Kjaer 4228.
A photo of the microphones in AC-2 TsAGI is provided in Figure 2d. The microphones were installed on horizontal holders, which had a length of 30 cm to reduce the effect of noise reflection from the vertical part of the frame on the measured noise. An open door that can be seen in Figure 2a,d was closed during the tests to enhance the acoustic characteristics of the anechoic facility AC-2 TsAGI.
The flow velocity V in both small-scale and full-scale tests ranged from 34 m s−1 to 75 m s−1.

2.2. Anechoic Wind Tunnel FL-17 CARDC

The aeroacoustic wind tunnel FL-17 CARDC (Mianyang, China), shown in Figure 3, is a closed-circuit open-jet wind tunnel; its circuit length is 368 m. In the test hall, the nozzle has an exit area of 5.5 m (width) × 4 m (height). With the 12.5 MW power supply, a maximum wind speed of V = 100 m s−1 is achieved in the open test section. The open-jet test section is surrounded by a full anechoic test hall of 28 m × 27 m × 20 m; the cut-off (lowest) frequency of the test hall is f0 = 100 Hz. The centerline of the jet is 8 m high above the ground, and the distance from the nozzle outlet to the collector is 14 m.
For acoustic measurements, a linear microphone array was used that was located at the sideline from the landing gear model (Figure 4).
The microphones were installed on horizontal holders directed toward the landing gear model, with a length of 0.23 m. The microphone array comprised 10 free-field microphones 1/2″ Bruel & Kjaer 4189 with preamplifiers Bruel & Kjaer 2671 (frequency range 20 Hz–20 kHz, dynamic range 16.5–134 dB, sensitivity 50 mV Pa−1) were used. Before the tests, the microphones were calibrated with a pistonphone Bruel & Kjaer 4228. The microphone coordinates comprised polar angles φ = 20° and 40° (Figure 4c) and azimuthal angles θ = 50°, 70°, 90°, 110°, and 130° (Figure 4b). It can be seen that these positions correspond to microphone coordinates in AC-2 TsAGI, with the exception of azimuthal angle θ = 130°, which was absent in AC-2 TsAGI tests due to the proximity of the microphone to the anechoic wedges in AC-2 TsAGI for this azimuthal angle.
In addition to the linear microphone array, acoustic tests in FL-17 CARDC also used a 135-microphone beamforming array (Figure 5a), located at the sideline but on the opposite side from the landing gear model. A general view of the test hall of FL-17 CARDC with an installed landing gear model and the measurement systems is shown in Figure 5b–d.
The scheme of the landing gear noise measurements in FL-17 CARDC has also been described previously [21,22], providing some test results for large-scale landing gear models.

3. Landing Gear Models

As described in the introduction, the major objective of this study consists of comparing noise measurements for landing gear models that have the identical generic geometry but different scales. As an example, photos of large-scale and small-scale landing gear models are shown in Figure 6. The small-scale landing gear models studied in AC-2 TsAGI have the same geometry as the large-scale models, but their scale with respect to the models from FL-17 CARDC is 1:10.9 (Figure 7).
Landing gear models for both small-scale and full-scale tests were designed and manufactured as modular constructions, which allowed installation and removing some parts of the landing gear model, such as the wheels, the torque link, and the main leg (shock strut), as well as changing the geometric parameters of the model (number and diameter of the wheels, height of the main leg, inclination angle of the wheel track, etc.). Figure 8a shows schemes of full-scale landing gear models with different numbers of wheels, whereas different main leg heights are depicted in Figure 8b. Such a construction allows comparing acoustic results for small-scale and full-scale landing gear models for an extensive range of geometric parameters.
However, before the test results from the different facilities can be compared, their data quality must be checked, and a number of corrections must be applied to the experimental results. These corrections are described in the next section.

4. Data Quality Checks and Experimental Corrections

Before comparing the noise results obtained in these two anechoic facilities, a number of corrections should be applied to the data measured with the out-of-flow microphones to determine the acoustic characteristics of the noise source. In particular, sound pressure levels have to be corrected for insufficient signal-to-noise ratio, the effects of shear-layer refraction, atmospheric absorption, and geometric distance. These corrections were performed as follows:
  • Background noise correction
  • Correction for shear-layer refraction
  • Correction for microphone directivity and frequency response
  • Atmospheric absorption
  • Geometric position (for AC-2 TsAGI data)
  • Strouhal scaling (for AC-2 TsAGI data)

4.1. Background Noise Correction

Background noise correction consisted of subtraction of the narrowband spectra of background noise LBG (i.e., noise when the landing gear model is removed) from the narrowband spectra of landing gear noise LLG according to Equation (1). If the level difference L between the total noise and the background noise is less than 3 dB, then the correction can be considered as introducing too-large errors, so that the source level cannot be determined.
L = 10 log10 (10LLG/10 − 10LBG/10)
To compare noise spectra, the acoustic signal measured over a time interval of 30 s at a sampling frequency of 51,200 Hz is separated into Hanning-widowed blocks with 66.7% overlap, corresponding to a bandwidth of 3.125 Hz. After Fast Fourier Transform (FFT), the final spectrum is averaged over 280 blocks to smooth the curve. All the spectra displayed in this paper show the power spectral density (PSD) in dB/Hz (rel. to 2 10−5 Pa).
Figure 9 shows a comparison of the background noise and landing gear noise for both facilities when the flow velocity is 75 m s−1; the landing gear model is the four-wheel model with the high main leg (Figure 5b) and microphone position (θ, φ) = (90°, 20°).
From Figure 9, it can be seen that for the full-scale model the landing gear noise exceeds the background noise by at least 3 dB in the frequency range below 10 kHz, whereas for small-scale models the landing gear noise becomes noticeable over the background noise only for frequencies more than 400 Hz.
It is worth noting that a strong tone is present at 840 Hz for the small-scale landing gear model, whereas no such tone is observed for the full-scale model. It is likely that this tone is an Aeolian tone produced by the main leg of the landing gear model; its Strouhal number St calculated based on the main leg diameter d = 16.9 mm for frequency f = 840 Hz and flow speed V = 75 m s−1 is St = f d/V = 0.19, which is close to the expected value of St = 0.2 for such a tone. The peak is absent from the noise spectra of the full-scale model, because its frequency at the full scale would be ~77 Hz, i.e., it is below the low-frequency limit of FL-17 CARDC and is not visible in the spectra.
The spectra in Figure 9 are shown for the whole frequency range from 100 Hz to 20 kHz. However, from the perspective of the spectra comparison, only a part of this frequency range is of interest. Indeed, after Strouhal scaling for the scale l = 10.9 the data from AC-2 TsAGI will be located in the frequency range below 2 kHz, so the higher frequency part of the spectra from FL-17 CARDC cannot be directly compared with AC-2 TsAGI results. Therefore, in the following analysis the highest frequency of FL-17 CARDC data will be limited to 5 kHz. On the other hand, the low-frequency limit of FL-17 CARDC facility is 100 Hz, which implies that only the part of the noise spectra from AC-2 TsAGI with frequencies above 1 kHz can be directly compared with FL-17 CARDC data. As a result, the high level of the background noise at low frequencies in AC-2 TsAGI will not affect the comparison of the spectra with FL-17 CARDC data. The tone at 840 Hz for the small-scale model (Figure 9b) will also be excluded from the full-scale frequency range, after the noise spectra for the small-scale model are scaled to the full scale based on the Strouhal number. Figure 10 shows the parts of the noise spectra from Figure 9 that are used for comparison of small-scale and full-scale noise data.

4.2. Shear Layer Correction

If a sound source is placed in the wind tunnel core flow, and the measuring microphones are placed outside it, the sound waves have to pass through the shear-layer separating the open jet from the ambient air. This leads to a change in propagation direction (apparent radiation angle) and amplitude of the sound waves. In addition, the sound waves are convected downstream while propagating in the flow. To account for these effects, the data must be corrected. In this study, a widely used scheme from Amiet [23] to correct for shear-layer refraction is applied to the measurement data. The scheme allows for correction for both planar and circular shear layer, which correspond to the FL-17 CARDC and AC-2 TsAGI facilities, respectively. The shear-layer corrections depend on the measurement geometry (the incidence angle at the shear layer, in particular) and on flow velocity, but not on sound frequency.
The geometry and notations of the shear layer correction are shown in Figure 11. Two-dimensional geometry (Figure 11a) corresponds to either the case of a cylindrical shear layer with the source located at the centerline or the case of a plane shear layer with the source and the microphone located in the x–z plane. The case of a plane shear layer with the source and the observer not in this plane corresponds to three-dimensional geometry (Figure 11b).
The azimuthal and polar angles described in Section 2 are measured from the junction point of the landing gear with the support system. However, localization of the noise sources with the beamforming method [24] and numerical simulation [25] suggest that the major noise sources of the landing gears comprise wheels, torque link, and strut. Therefore, the upper point of the main leg will be considered as the position of the source, which should better correspond to the physics of the problem, although it has an obvious drawback that the polar angle of the microphones will be different for landing gears with different main leg heights. For instance, for the landing gear model with a high main leg in FL-17 CARDC polar angle φ = 20° becomes φM = –1.9°, while polar angle φ = 40° becomes φM = 24.8°.
A comparison of the results for radiation angles (θ0, φ0) obtained for the plane shear layer in FL-17 CARDC with 2D and 3D approaches is provided in Table 1. The polar angle φ0 for the 2D correction procedure is 0° by definition. It can be seen that both methods provide close values of azimuthal angles θ0, and for φ = 20° the values of polar angles φ0 are also quite similar. Taking into account the uncertainties associated with the position of the noise source, it has been concluded that the 2D correction procedure can be used for shear layer refraction in FL-17 CARDC.
Similarly, a comparison of the results obtained with the 2D correction procedure for radiation angle θ0 in FL-17 (plane shear layer) and AC-2 (cylindrical shear layer) is provided in Table 2. It can be seen that although geometrical positions of the microphones in AC-2 TsAGI and FL-17 CARDC were chosen as close to each other as possible, the shear layer correction introduces some differences in radiation angles between the two facilities, which will be accounted for in the further analysis.
In addition to the angle correction, the shear layer correction procedure also introduces amplitude corrections, which differ between the plane and cylindrical shear layer [23]. The resulting values correspond to the measurements of the landing gear noise by inflow microphones at the angle θ0 (rather than θ).

4.3. Correction for Microphone Directivity and Frequency Response

The experimental data were then corrected to account for the characteristics of microphones, such as microphone directivity (for the actual incident angle determined by θt) and frequency response. The characteristics are provided by the manufacturer.

4.4. Atmospheric Absorption

Noise data are corrected for atmospheric absorption following the procedure developed by Sutherland [26] and based on the true radiation angles and distances as determined by the shear layer refraction correction.

4.5. Geometric Position (for AC-2 TsAGI Data)

Although geometric positions of the microphones in AC-2 TsAGI and FL-17 CARDC were deliberately chosen as close to each other as possible, distances from the landing gear to the microphones in AC-2 TsAGI and FL-17 CARDC differ, as can be seen from Figure 2b and Figure 4c. The data from AC-2 TsAGI are therefore corrected to the distances of FL-17 CARDC using the geometric spreading law.
Moreover, the shear layer reflection introduces some differences in radiation angles between the two facilities. To account for the difference in radiation angles, the noise level of the results from AC-2 TsAGI are interpolated with respect to azimuthal angle for each frequency, which allows the interpolated spectra to be obtained at azimuthal angles θ0, corresponding not to the values of AC-2 but to the values of FL-17. An example of such an interpolation is provided in Figure 12.
As a result of the procedure, noise levels of small-scale landing gears are determined in the position and distances corresponding to the microphones in FL-17.

4.6. Strouhal Scaling (for AC-2 TsAGI Data)

The resulting noise spectra correspond to landing gear noise measured for small-scale and large-scale models in the same conditions. Then, the AC-2 TsAGI data are transferred to the full scale, thus allowing the results from the two facilities to be directly compared. Since the flow speeds V in both facilities were the same, there was no problem of spectra scaling with respect to flow speed as the 6th or 7th power of V (or something else), which has been extensively discussed in a number of studies on landing gear noise [14,15,22]. Thus, noise spectra of small-scale landing gear models Lsmall are scaled to the FL-17 CARDC data (frequency ffull and sound pressure level Lfull) with the use of the Strouhal number, as follows:
ffull = fsmall/D, Lfull = Lsmall + 20 log10 (l)
where l = 10.9 is the scale ratio of landing gear models in AC-2 TsAGI and FL-17 CARDC. The resulting spectra can be directly compared.
An example of such a comparison is provided in Figure 13 for the same conditions as for Figure 10. It can be seen that the normalized spectra are in a good agreement.

5. Discussion

Let us consider the normalized noise spectra for the two facilities for different parameters. Figure 14 shows the spectra for the same landing gear model and flow speed, but for different azimuthal angles θ. The effect of flow speed is demonstrated in Figure 15 for the same landing gear model. Again, a good agreement is observed.
Finally, Figure 16 illustrates the effect of landing gear model geometry, providing results for the six-wheel model with high and medium main legs. The spectra collapse very well, with the possible exception of a hump, which is present in the FL-17 CARDC spectra at the frequency ~1250 Hz. Localization of the noise sources for the frequency is shown in Figure 17 and demonstrates that the hump is likely to be related to the support structure between the wheels, so that the noise generation mechanism can be similar to that considered in [22] for two-wheel landing gear models. Investigation of wheels of different diameters in [22] leads to a conclusion that the tonal noise can be generated by a laminar flow around the support structure between the wheels and is more likely to appear for wheels with smaller diameters, which is exactly the case for the six-wheel landing gear model (Figure 8a).
In fact, it seems that while the results of small-scale tests agree reasonably well with the results of large-scale tests in terms of broadband noise of landing gear models, the small-scale tests fail to predict the tonal noise that appeared for some landing gear configurations in FL-17 CARDC. An example of this situation is shown in Figure 18 for the two-wheel landing gear model.
It can be seen that the normalized spectra from AC-2 TsAGI tests do not exhibit the peaks that are present for FL-17 CARDC data.
The inability of small-scale tests to reproduce tonal noise of the full-scale models is expected. Indeed, the tonal noise is known to strongly depend on the parameters of flow and model geometry [17]. In particular, the Reynolds number effect plays a prominent role in noise generation for both Aeolian tones and cavity tones. The results of the present study corroborate this conclusion that small-scale tests are ill-suited for tonal noise investigation.
At the same time, a good agreement of noise spectra for broadband noise of the small-scale and large-scale landing gear models implies that the small-scale tests can be used to predict and reduce broadband noise of large-scale landing gear models.

6. Conclusions

We performed acoustic measurements of large-scale and small-scale landing gear models, which have identical simplified geometry and differ only by their scales. The tests of the full-scale generic landing gear were performed in the large anechoic facility FL-17 CARDC (Mianyang, China), whereas the small-scale landing gear models were tested in an anechoic chamber with flow, AC-2 TsAGI (Moscow, Russia).
The large-scale landing gear models are simplified and lack small geometric details, which for the first time allows their results to be directly compared with those for small-scale models of the same geometry. It is shown that the normalized spectra for broadband noise of the landing gear models of different scales are in a good agreement with each other. This conclusion implies that the small-scale tests can be reliably used to search for broadband noise reduction solutions, at least for the low-frequency region of full-scale noise spectra. One can mention the technology of truncated cylinders for landing gear noise reduction [21], which was initially developed for small-scaled cylinders and landing gear models and then successfully validated for low-frequency noise reduction at the full scale. Such studies can be continued with respect to other low-frequency noise reduction technologies. Small-scale tests can also be used for refinement of semi-empirical models of broadband noise prediction for different landing gear elements.
On the other hand, development of noise reduction technologies for high-frequency parts of the spectrum based on small-scale models seems problematic, because it requires high-fidelity reproduction of fine details of the landing gear, measuring the noise spectra up to very high frequencies, and introduction of large corrections due to sound refraction by the flow and sound attenuation in the atmosphere.
The present study also corroborates the conclusion that small-scale tests are ill-suited for tonal noise investigation for full-scale models due to high sensitivity of the tones to the parameters of flow and model geometry. This is not a significant drawback, however, because the tonal noise of full-scale landing gears should be effectively reduced with a number of noise reduction methods, both for Aeolian tones and cavity tones; thus, realistic landing gears have their tonal noise suppressed, so that their aerodynamic noise is essentially broadband in nature [2]. This means that investigations of broadband noise of landing gears in small-scale tests can be of practical interest.

Author Contributions

Conceptualization, V.K. and K.Z.; methodology, V.K.; software, I.B. and K.Z.; validation, M.Z.; formal analysis, M.Z.; investigation, I.B.; resources, V.K. and K.Z.; data curation, I.B. and M.Z.; writing—original draft preparation, I.B.; supervision, V.K. and K.Z.; project administration, V.K. and K.Z.; funding acquisition, V.K. and K.Z. All authors have read and agreed to the published version of the manuscript.

Funding

This research was partially supported by the Ministry of Science and Higher Education of the Russian Federation (Grant No. 075-15-2022-1023) within the program for the creation and development of the WCRC ‘‘Supersonic”. The small-scale tests were carried out on the basis of the TsAGI facility “AC-2 Anechoic chamber with flow” modernized with the financial support of the Ministry of Science and Higher Education of the Russian Federation under agreement No. 075-15-2022-1036.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.

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Figure 1. A photo of anechoic facility AC-2 TsAGI.
Figure 1. A photo of anechoic facility AC-2 TsAGI.
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Figure 2. Landing gear noise tests in AC-2 TsAGI: (a) photo of a small-scale model installed on the horizontal plate; (b) scheme of the experiment (top view); (c) scheme of the experiment (front view); (d) photo of microphones installed in AC-2 TsAGI.
Figure 2. Landing gear noise tests in AC-2 TsAGI: (a) photo of a small-scale model installed on the horizontal plate; (b) scheme of the experiment (top view); (c) scheme of the experiment (front view); (d) photo of microphones installed in AC-2 TsAGI.
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Figure 3. General scheme of FL-17 CARDC.
Figure 3. General scheme of FL-17 CARDC.
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Figure 4. Landing gear noise tests in FL-17 CARDC: (a) photo of the linear microphone array in the anechoic test hall; (b) scheme of the experiment (top view); (c) scheme of the experiment (front view); (d) photo of a microphone on the holder.
Figure 4. Landing gear noise tests in FL-17 CARDC: (a) photo of the linear microphone array in the anechoic test hall; (b) scheme of the experiment (top view); (c) scheme of the experiment (front view); (d) photo of a microphone on the holder.
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Figure 5. Landing gear noise tests in FL-17 CARDC: (a) photo of the beamforming microphone array; (b) photo of a landing gear model in FL-17 CARDC; (c) 2D scheme of acoustic tests in FL-17 CARDC; (d) 3D scheme of acoustic tests in FL-17 CARDC.
Figure 5. Landing gear noise tests in FL-17 CARDC: (a) photo of the beamforming microphone array; (b) photo of a landing gear model in FL-17 CARDC; (c) 2D scheme of acoustic tests in FL-17 CARDC; (d) 3D scheme of acoustic tests in FL-17 CARDC.
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Figure 6. Photos of landing gear models in anechoic facilities: (a) FL-17 CARDC; (b) AC-2 TsAGI.
Figure 6. Photos of landing gear models in anechoic facilities: (a) FL-17 CARDC; (b) AC-2 TsAGI.
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Figure 7. Photos of landing gear models: (a) large-scale model in FL-17 CARDC; (b) small-scale model in AC-2 TsAGI.
Figure 7. Photos of landing gear models: (a) large-scale model in FL-17 CARDC; (b) small-scale model in AC-2 TsAGI.
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Figure 8. Schemes of full-scale landing gear models with different geometric parameters: (a) landing gears with different number and diameters of wheels; (b) landing gears with different main leg heights.
Figure 8. Schemes of full-scale landing gear models with different geometric parameters: (a) landing gears with different number and diameters of wheels; (b) landing gears with different main leg heights.
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Figure 9. Noise spectra for the background noise and noise of the four-wheel landing gear model at flow velocity 75 m s−1; microphone is located at (θ, φ) = (90°, 20°): (a) Full-scale model in FL-17; (b) Small-scale model in AC-2 TsAGI.
Figure 9. Noise spectra for the background noise and noise of the four-wheel landing gear model at flow velocity 75 m s−1; microphone is located at (θ, φ) = (90°, 20°): (a) Full-scale model in FL-17; (b) Small-scale model in AC-2 TsAGI.
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Figure 10. The parts of noise spectra from Figure 9 used for comparison of small-scale and full-scale data: (a) full-scale model in FL-17; (b) small-scale model in AC-2 TsAGI.
Figure 10. The parts of noise spectra from Figure 9 used for comparison of small-scale and full-scale data: (a) full-scale model in FL-17; (b) small-scale model in AC-2 TsAGI.
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Figure 11. Geometrical parameters for the shear layer correction: (a) 2D case, (b) 3D case (adopted from [24]).
Figure 11. Geometrical parameters for the shear layer correction: (a) 2D case, (b) 3D case (adopted from [24]).
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Figure 12. Interpolation of noise levels measured in AC-2 TsAGI to azimuthal angles θ0, corresponding to FL-17 CARDC for (a) 2000 Hz, (b) 12,000 Hz.
Figure 12. Interpolation of noise levels measured in AC-2 TsAGI to azimuthal angles θ0, corresponding to FL-17 CARDC for (a) 2000 Hz, (b) 12,000 Hz.
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Figure 13. Comparison of the normalized spectra of the four-wheel landing gear model with the high main leg. Flow speed is 75 m s−1. Microphone is at (θ, φ) = (90°, 20°).
Figure 13. Comparison of the normalized spectra of the four-wheel landing gear model with the high main leg. Flow speed is 75 m s−1. Microphone is at (θ, φ) = (90°, 20°).
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Figure 14. Comparison of the normalized spectra of the four-wheel landing gear model with the high main leg. Flow speed is 75 m s−1. Microphone is at (a) (θ, φ) = (70°, 20°), (b) (θ, φ) = (110°, 20°).
Figure 14. Comparison of the normalized spectra of the four-wheel landing gear model with the high main leg. Flow speed is 75 m s−1. Microphone is at (a) (θ, φ) = (70°, 20°), (b) (θ, φ) = (110°, 20°).
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Figure 15. Comparison of the normalized spectra of the four-wheel landing gear model with the high main leg. Microphone is at (θ, φ) = (90°, 20°). Flow speed is (a) 34 m s−1, (b) 55 m s−1.
Figure 15. Comparison of the normalized spectra of the four-wheel landing gear model with the high main leg. Microphone is at (θ, φ) = (90°, 20°). Flow speed is (a) 34 m s−1, (b) 55 m s−1.
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Figure 16. Comparison of the normalized spectra of the six-wheel landing gear model. Microphone is at (θ, φ) = (90°, 20°). Flow speed is 75 m s−1. The main leg is (a) high, (b) medium.
Figure 16. Comparison of the normalized spectra of the six-wheel landing gear model. Microphone is at (θ, φ) = (90°, 20°). Flow speed is 75 m s−1. The main leg is (a) high, (b) medium.
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Figure 17. Localization of noise sources for the six-wheel landing gear model with high main leg. Flow speed is 75 m s−1; frequency is 1250 Hz.
Figure 17. Localization of noise sources for the six-wheel landing gear model with high main leg. Flow speed is 75 m s−1; frequency is 1250 Hz.
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Figure 18. Comparison of the normalized spectra of the two-wheel landing gear model with high main leg. Microphone is at (θ, φ) = (90°, 20°). Flow speed is (a) 75 m s−1, (b) 34 m s−1.
Figure 18. Comparison of the normalized spectra of the two-wheel landing gear model with high main leg. Microphone is at (θ, φ) = (90°, 20°). Flow speed is (a) 75 m s−1, (b) 34 m s−1.
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Table 1. Amiet’s angle correction for the landing gear model with the highest leg in FL-17 CARDC for the flow speed 75 m s−1.
Table 1. Amiet’s angle correction for the landing gear model with the highest leg in FL-17 CARDC for the flow speed 75 m s−1.
Microphone Measurement Position2D Correction3D Correction
θ, °φM, °rM, mθ0, °θ0, °φ0, °
50−1.97.5443.541.3−2.1
24.88.2942.841.627.6
70−1.96.1463.963.7−1.9
24.86.7663.363.725.6
90−1.95.7783.383.3−1.9
24.86.3582.883.324.4
110−1.96.14101.8103.3−1.8
24.86.76101.2103.223.0
Table 2. Amiet’s angle correction for plane shear layer (FL-17 CARDC) and cylindrical shear layer (AC-2 TsAGI).
Table 2. Amiet’s angle correction for plane shear layer (FL-17 CARDC) and cylindrical shear layer (AC-2 TsAGI).
θ, °V, m/sθ0, ° (FL-17)θ0, ° (AC-2)
503446.644.1
5544.940.9
7543.538.0
703467.065.1
5565.462.3
7563.959.8
903487.085.2
5585.282.3
7583.379.5
11034106.6104.6
55104.3101.2
75101.897.7
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Kopiev, V.; Belyaev, I.; Zaytsev, M.; Zhao, K. An Aeroacoustic Study of Full-Scale and Small-Scale Generic Landing Gear Models with Identical Geometry. Appl. Sci. 2023, 13, 2295. https://doi.org/10.3390/app13042295

AMA Style

Kopiev V, Belyaev I, Zaytsev M, Zhao K. An Aeroacoustic Study of Full-Scale and Small-Scale Generic Landing Gear Models with Identical Geometry. Applied Sciences. 2023; 13(4):2295. https://doi.org/10.3390/app13042295

Chicago/Turabian Style

Kopiev, Victor, Ivan Belyaev, Mikhail Zaytsev, and Kun Zhao. 2023. "An Aeroacoustic Study of Full-Scale and Small-Scale Generic Landing Gear Models with Identical Geometry" Applied Sciences 13, no. 4: 2295. https://doi.org/10.3390/app13042295

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