VERIFICATION OF A MODAL TRANSMISSION MODEL TO PREDICT NVH PARAMETERS
Keywords:
NVH, Modal Assurance Criterion, Gearbox, Eigenvalues, Simulation, Modal Analysis, Verification, Experimental ResearchAbstract
Manufacturers and buyers of modern vehicles are paying increasing attention tovibroacoustic performance as the main indicator of comfort. Noise and vibration are undesirable
phenomena and lead to energy losses and a decline in service life, and their reduction is achieved
by using modern methods for optimizing NVH parameters of transmissions. An integral part of
the implementation of this methodology and, at the same time, the goal of the proposed work
is to create a verified modal model of a promising automatic transmission (AT). This modal
model of automatic transmission should adequately describe its vibroacoustic behavior during
operation.
The paper presents the results of the calculated and experimental modal analysis, both of individual parts of AT and assembly of AT. During the experimental study, the LMS Scadas Mobile SCM05 hardware-software complex with Simcenter Testlab software in the Impact Testing
software application was used. The experimental study results were processed in the Simcenter
Testlab Modal Analysis software using the PolyMAX method. The analytical study was carried
out using the Simcenter 3D software product with the Real Engenvalues solver and the subsequent transformation of the obtained results for verification. Verification was carried out by assessing the degree of convergence of modal characteristics using a modal assurance criterion
(MAC). The novelty of the research lies in the development of a verified modal model of a promising AT, which allows optimization of NVH parameters at the early stages of design.
In accordance with the purpose of the work, a verified modal model of a promising AT was
created. As a result of the computational and experimental studies, modal characteristics of individual structural elements and AT were obtained. The results of the study made it possible to
clarify a set of methods and approaches for carrying out studies of modal characteristics, which
can later be used in the design of transport vehicles.
References
Heylen W., Lammens S., Sas P. Modal Analysis Theory and Testing. Belgium: Katholieke Universiteit Leuven, Faculty of Engineering, Department of Mechanical Engineering, Division of Production Engineering, Machine Design and Automation, 1998. 340 p.
Ewins D.J. Modal Testing: Theory, Practice and Application, Second Edition. Research Studies Press LTD, Baldock, England, 2000. 400 p.
He J., Fu Z.-F. Modal Analysis. Butterworth-Heinemann, 2001. 304 p.
Friswell M.I., Mottershead, J.E. Finite Element Model Updating in Structural Dynamics. Kluwer Academic Publishers, 1995. 292 p.
Carne T.G., Dohrmann C.R. A modal test design strategy for model correlation. Proceedings of the 13th International Modal Analysis Conference, Nashville, TN, 13–16 February, 1995, pp. 927–933.
Napolitano K.L., Blelloch P.A. Automated Selection of Shaker Locations for Modal Tests. Proceedings of the 21st International Modal Analysis Conference on Structural Dynamics, Kissimmee, FL,
February, 2003.
Snoeys R., Sas P., HeylenW., Van der Auweraer H. Trends in experimental modal analysis. Mechanical Systems and Signal Processing, January 1987, vol. 1, issue 1, pp. 5–27. DOI: 10.1016/0888-3270(87)90080-X.
Wyckaert K., Augusztinovicz F., Sas P. Vibro-acoustical modal analysis: Reciprocity, model symmetry, and model validity. Journal of The Acoustical Society of America, 1996, vol. 100, issue 5, pp.
–3181. DOI: 10.1121/1.417127.
Modal Analysis and Testing. Ed. by J.M.M. Silva, N.M.M. Maia. NATO Science Series (Series E: Applied Sciences), vol. 363, Springer, Dordrecht, 1999. 597 p.
Helsen J., Cremers L., Mas P., Sas, P. Global static and dynamic car body stiffness based on a single experimental modal analysis test. Proceedings of ISMA2010 International Conference on Noise
and Vibration Engineering including USD2010, Leuven, Belgium, 20–22 September, 2010, pp. 2505–2521.
Lauwagie T., Assche R., Straeten J., Heylen W. A Comparison of Experimental, Operational, and Combined Experimental–Operational Parameter Estimation Techniques. Proceedings of
ISMA2006International Conference on Noise and Vibration Engineering Volume 1, Leuven, Belgium, 18–20 September, 2006, pp. 2997–3006.
Zanarini A., Coninck F., Sas P. A connecting stiffness optimization procedure to update finite element models of assembled structures. Proceedings of ISMA2002 International Conference on Noise
and Vibration Engineering, Leuven, Belgium, 16–18 September, 2002, pp. 1019–1030.
Heylen W., Janter T. Applications of the modal assurance criterion in dynamic model updating. Proceedings of the ASME Design Technical Conference, 1989, vol. 18, pp. 289–294.
Heylen W., Janter T. Extensions of the modal assurance criterion. Journal of Vibration and Acoustics, October 1990, vol.112, issue 4, pp 468–472. doi:10.1115/1.2930130
Allemang R.J. The Modal Assurance Criterion – Twenty Years of Use and Abuse.Sound and Vibration, August 2003, vol. 37, pp. 14–21.
Xiang T., Lan D., Zhang S., Li W., Lin D. Experimental modal test of the spiral bevel gear wheel using the PolyMAX method. Journal of Mechanical Science and Technology, 2018, vol. 32,
pp. 21–28. DOI: 10.1007/s12206-017-1203-0.
Xu X., Zhu C.-C., Zhang X.-R., Wang, W.-L., Chen, H.-Y. Experimental modal analysis of
heavy duty marine gearbox. Zhendong yu Chongji/Journal of Vibration and Shock, July 2011, vol. 30, pp. 266–270.
Liu W., Lin T.J., Peng Q.C. Modal Analysis and Experimental Research of Marine Gearbox. Applied Mechanics and Materials, July 2014, vol. 607, pp. 405–408.
Korka Z., Cojocaru V., Miclosina C.-O. Shape Improvement of a Gearbox Housing Using Modal Analysis. Romanian Journal of Acoustics and Vibration, August 2018, vol. 15, pp. 47–52.
User manual LMS SCADAS Mobile & Recorder v. 2.1
Peeters B., Van der Auweraer H. PolyMax: a revolution in operational modal analysis. Proceedings of the 1st International Operational Modal Analysis Conference, Copenhagen, Denmark, 26–27 April, 2005, pp. 13–24
