p* is the conjugate of the sound pressure p.
(p•p*) is the mean square value of the sound pressure, or the measured sound pressure sigmoid.
Π, is the sound power of a point sound source measured in a free field.
The energy-based PBNR value can be obtained by the method of the acoustic transfer function. The acoustic transfer function is a function of the frequency of the sound pressure at the response point and the volume acceleration at the center of the point sound source. The sound power of a point sound source in a free field can be expressed by the following formula: Here, ρ, c is the density of air and the speed of sound in air.
Qa and Qa* are the volume acceleration and its conjugate, respectively.
Therefore, Qa* Qa* is the self-regulatory value of the measured volume acceleration. Furthermore, the value of PBNR can be expressed by the following formula: Here ap /Q is the amplitude of the measured sound pressure to volume acceleration transfer function, which can be converted into the form of a one-third octave spectrum.
Compared with the traditional sound insulation measurement (Noise Reduction) method, the PBNR method based on energy insulation/sound absorption measurement takes into account the sound insulation and sound absorption (source side and receiving side) characteristics of the system more comprehensively. For example, when measuring the acoustic characteristics from the engine compartment to the interior of the vehicle, the traditional sound insulation measurement method cannot obtain the influence of the sound absorption characteristics of the material under the engine hood and the sound insulation pad, which are often used to reduce the noise in the car, while the PBNR method takes these into account. At the same time, the PBNR method can be used to evaluate the performance of the acoustic trim of the whole vehicle without any damage to the whole vehicle. The traditional sound insulation method can only evaluate the acoustic performance of a single component or a single part, and it is time-consuming and laborious to conduct experiments without destroying the whole vehicle.
At the same time, the PBNR method is easy to implement and does not require a high level of acoustic measurement environment and measurement equipment.
The measurement of PBNR is mainly based on the transfer function method. The system flow chart is as follows: the excitation source is a volume velocity sound source, and the microphone is freely selected according to the number of actual system channels. According to the principle of reciprocity, the sound source can be placed outside the car and the microphone inside the car; or the sound source can be placed inside the car and the microphone inside the car. [page]
Figure 1 Test system block diagram
is based on the PBNR theory. The whole vehicle sound insulation and sound absorption test was conducted on representative models of four brands in the same competitive field in the market. The experiment assumed that the sound source came from different external locations of the vehicle, such as the engine compartment, the tire-ground contact area, the underside of the vehicle body floor, and the exhaust pipe position.
Figure 4 Sound insulation and absorption performance of the floor area/driver's ear
Figure 5 Sound insulation and absorption performance of engine compartment/driver's ear
Figure 6 Sound insulation and absorption performance of tire contact area/driver's ear [page]
Figure 7 Exhaust tail pipe/passenger ear sound insulation and absorption performance
In order to verify whether the PBNR test results can reflect the noise performance of the actual vehicle during driving, two of the vehicles were equipped with the same tires for road noise tests, and the results are shown in Figure 8. Comparing Figure 8 with Figure 6, it can be found that the two are similar. Under low-speed sliding conditions, tire noise is the main sound source, so the sound insulation and sound absorption characteristics from the tire ground contact area to the driver's ears reflect the level of actual road noise in the car. In Figure 6, the sound insulation characteristics of car #2 from 500 to 2000 Hz are higher than those of car #3, and the road noise inside the car #2 is lower than that of car #3. The other frequency bands are also basically consistent.
Figure 8 The sound spectrum characteristics at the driver's ear measured on the road
Compared with traditional sound insulation and sound absorption test technologies, the energy-based sound insulation and sound absorption test technology is simple, easy and fast to test, and can save R&D funds without disassembling the whole vehicle. It is very suitable for the analysis of the characteristics of competitors' whole vehicles, which is of great significance for us to improve our independent development level. In addition, the PBNR test results can also be used to verify the statistical energy (SEA) model for simulation analysis and prediction, and improve the accuracy of simulation analysis. At the same time, the PBNR results can also be used as subsystem requirements and provided to subsystem integration suppliers as a basis for system development.
References
1. LMS Engineering Services, Mid High Frequency Volume Acceleration Source, E-MHFVVS, 2004.
2. J. Zhu, Q. Zhang, et al., ”Power-Based Reduction Technique and Its Application to SEA Modeling,” InterNoise 2002, Dearborn, Michigan, 2002.
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