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Chapter4. DataAnalysis 44 (a) TOB 10000 Hz. (b) TOB 20000 Hz. Figure 4.1: Harmonic aliasing effect evident in SODIX plots of TP DLR 317. The effect seen in Fig. 4.1(a) and 4.1(b) respectively, distorts the SODIX results to a certain degree as the SPL values drop significantly in the primary wake area of the nozzles. It is questionable, whether this effect represents physical phenom- ena or is an error either in the raw data itself or on SODIX’ side. At first glance, it suggests some form of spatial aliasing, as it appears to have harmonic qualities and only occurs for high frequencies, when the wavelength is short. Spatial alias- ing effects are prone to occur due to spatial undersampling of the sound events. The microphones in the linear array are spaced at constant intervals, which could potentially be too wide for high TOB, as the length of the sound waves decreases with increasing frequency. A possible criterion to assess this phenomenon is the trace wave length λs (Eq. 4.1) [25]. The trace wave length is the hypotenuse of the triangle formed by the line connecting the source (e.g. at the nozzle exit) with microphone and the axis of the microphone array, see Fig. 4.2. λs = f(λ,θ∗) = f(c, f,θ∗) = λ (4.1) cos(θ∗) Based on experience, aliasing effects tend to occur, when λs < 2∆xm. Analysis of various high frequency plots showed, that aliasing generally occurs starting with the 8000 Hz TOB. A verification simulation run, that is independent of the OPENAIR data, has been conducted using a constructed CSM that only contains one sound source at the nozzle outlet (x = 0) at 20 kHz. It uses a single steering vector gjm with the same microphone and source positions as the OPENAIR tests (see Eq. 2.13). The plot of the verification run can be seen in Fig. 4.3(a). There is a clear shape similitude in source directivity between the calculated and simulated CSM. The aliasing event SPL is approximately 40 dB below the main source.PDF Image | Investigation of wing installation effects on the sound field of a model jet engine
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