This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Development of an Analytical Method for Rear Differential Gear Whine Noise Utilizing Principal Component Contribution by OTPA and CAE
ISSN: 0148-7191, e-ISSN: 2688-3627
Published June 05, 2019 by SAE International in United States
Annotation ability available
The progress of vehicle electrification has reduced engine noise and the improvement of rear differential gear whine noise has become more important for customer satisfaction. Rear differential gear whine noise is a result of the vibration generated by the transmission error of the gears transmitted to the cabin from various paths. As several components have a contribution, identifying key paths to develop an effective countermeasure becomes time consuming.
Operational transfer path analysis (OTPA) is one of the TPA methods to determine the main path and contributing part using only the operational data. However, in cases where many reference points are set on the same frame or body, the contribution becomes similar because of high correlation between the reference data set. As a result, finding the main transfer path becomes difficult. To overcome this issue, the principal component (PC) contribution obtained from the correlated reference signals was established by modifying the OTPA process. Through this process, important vibration behavior of the target structure can be obtained as the high contributing PC mode. In this paper, this approach was applied to a vehicle and verified. In addition, for applying the method, enormous signals at the reference and response points are necessary to be recorded simultaneously. This issue makes the method difficult to be applied especially to the high frequency phenomenon. This issue was solved by using frequency responses calculated from finite element (FE) models which were converted to transient data by inverse fast Fourier transform (FFT). After obtaining sufficient amount of data by using simulation, the data was used to identify the high contributing PC modes and the vibration modes. Using these findings, the vehicle was retrofitted, the vibration and sound pressure levels were confirmed to decrease and the effectiveness of the developed method was verified.
CitationNakatsuka, M., Miwa, T., and Yoshida, J., "Development of an Analytical Method for Rear Differential Gear Whine Noise Utilizing Principal Component Contribution by OTPA and CAE," SAE Technical Paper 2019-01-1555, 2019, https://doi.org/10.4271/2019-01-1555.
- Qatu, M.S., Abdelhamid, M.K., Pang, J., and Sheng, G. , “Overview of Automotive Noise and Vibration,” International Journal of Vehicle Noise and Vibration 5(1/2):1-35, 2009.
- Van der Auweraer, H., Wyckaert, K., Hendricx, W., and Van Der Linden, P. , “Noise and Vibration Transfer Path Analysis,” in Lecture Series - van Kareman Institute for fluid dynamics, van Kareman Institute, Rhode-Saint-Genèse, Belgium, 1979.
- Noumura, K. and Yoshida, J. , “Method of Transfer Path Analysis for Vehicle Interior Sound with No Excitation Experiment,” in FISITA2006 Proceedings F2006D183, 2006, 1-10.
- Bermayer, W., Brandl, F., Hoeldrich, R., Sontacci, A. et al. , “Sound Engineering based on Source Contributions and Transfer Path Results,” JSAE Paper 318/20075399 7-12, 2007.
- Sakamoto, A. and Ozaki, M. , “Application of a Transfer Path Analysis Using Principal Component Regression Method to Interior Sound at Acceleration,” JSAE Paper 60/20085414 17-20, 2008 (in Japanese).
- Tcherniak, D. and Schuhmacher, A.P. , “Application of Transmissibility Matrix Method to NVH Source Contribution Analysis,” Proceedings of the IMAC-XXVII 2009:1-10, 2009.
- Sonehara, T. , “A Study on Meaning of Acceleration-based Transfer Path Analysis,” JSAE Paper 100/20095547 19-24, 2009 (In Japanese).
- Yoshida, J. and Yamashita, D. , “Target Level Setting Method for the Reference Signal of Operational TPA,” Journal of System Design and Dynamics 7(4):317-327, 2013.
- Yoshida, J. and Tanaka, K. , “Contribution Analysis of Vibration Mode Utilizing Operational TPA,” Mechanical Engineering Journal 3(1):1-15, 2016.
- Van der Seijs, M.V., de Klerk, D., and Rixen, D.J. , “General Framework for Transfer Path Analysis: History, Theory and Classification of Techniques,” Mechanical Systems and Signal Processing 68-69:217-244, 2016.
- Yoshida, J., Tanaka, K., Nakamoto, R., and Fukasawa, K. , “Combination Analysis of Operational TPA and CAE Technique for Obtaining High Contributing Vibration Mode,” SAE Technical Paper 2017-01-1856, 2017, doi:10.4271/2017-01-1856.
- Tamari, J. and Miyashita, Y. , “Development of Automated Scheme for Gear Noise Characteristic Optimization,” JSAE Paper 223/20125009 25-28, 2012 (in Japanese).
- Arakawa, M., Nakatsuka, M., and Yamaoka, H. , “Prediction of Gear Vibration Transmitted through Engine Mounting System,” SAE Technical Paper 2015-01-2231, 2015, doi:10.4271/2015-01-2231.
- Rencher, A. C. and Christensen, W. F. , “Methods of Multivariate Analysis.” Third Edition John Wiley & Sons, 339-384, 405-434, 2012.