journal article·2018-05-23Open access

Dynamic Stiffness Effect of Mechanical Components on Gear Mesh Misalignment

Jin-Gyun Kim, Ga Ae Gang, Seung-Je Cho, Geun Ho Lee, Young-Jun Park

Applied Sciences· Volume 8· Issue 6

Abstract

In this work, we propose a method that considers the dynamic elastic stiffness of mechanical components in a quasi-static condition, and we investigate this parameter’s effect on gear mesh misalignment. Unlike conventional approaches, which consider static stiffness only, the proposed method allows compensation of the dynamic response of the gearbox components under the quasi-static assumption, enabling more precise and practical gear design. A two-stage parallel gearbox is presented, designed, and numerically analyzed. The results demonstrate that the dynamic stiffness has a significant effect on gear misalignment and should, therefore, be carefully considered in the gear design process.
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Research context

OpenAlex topics: Gear and Bearing Dynamics Analysis · Mechanical Engineering and Vibrations Research · Tribology and Lubrication Engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mechanical Engineering, Kyung Hee University, 1732 Deogyeong-daero, Giheung-gu, Yongin-si 17104, Korea

Department of Smart Machine Technology, Korea Institute of Machinery and Materials, 156, Gajeongbuk-Ro, Yuseong-gu, Daejeon 34103, Korea

Research Institute for Agriculture and Life Science, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul 08862, Korea

Department of Biosystems and Biomaterials Science and Engineering, College of Agriculture and Life Sciences, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul 08862, Korea

References (33)

Show source-provided references
1. Characteristic analysis of wind turbine gearbox considering non-torque loading10.1115/1.4023590 ↗
2. Load sharing and distributed on the gear flank of wind turbine planetary gearbox10.1007/s12206-014-1237-5 ↗
3. Mathematical models used in gear dynamics—A review10.1016/S0022-460X(88)80365-1 ↗
4. Seybert, A.F., Wu, T.W., Wu, X.F., and Oswald, F.B. (1991, January 1). Acoustical analysis of gear housing vibration. Proceedings of the AHS and Royal Aeronautical Society, Technical Specialists’ Meeting on Rotorcraft Acoustics, Philadelphia, PA, USA.
5. Harris, O.J., Douglas, M., James, B.M., Wooley, A.M., and Lack, L.W. (, January January). Predicting the effects of transmission housing flexibility and bearing stiffness on gear mesh misalignment and transmission error. Proceedings of the 2nd MSC Worldwide Automotive Conference, Dearborn, MI, USA.
6. Effect of transmission error on the dynamic behaviour of gearbox housing10.1007/s00170-006-0582-7 ↗
7. Pears, J., Smith, A., Platten, M., Abe, T., Wilson, B., Cheng, Y., and Felice, M. (2007). Predicting variation in the NVH characteristics of an automatic transmission using a detailed parametric modelling approach. SAE Tech. Pap.10.4271/2007-01-2234 ↗
8. James, B.M., and Hofmann, A. (2014). Simulating and reducing noise excited in an EV powertrain by a switched reluctance machine. SAE Tech. Pap.10.4271/2014-01-2069 ↗
9. Radzevich, S.P. (2016). Dudley’s Handbook of Practical Gear Design and Manufacture, CRC Press.10.1201/9781315368122 ↗
10. International Organization for Standardization (2006). Calculation of Load Capacity of Spur and Helical Gears, ISO. ISO 6336:2007.
11. International Organization for Standardization (2001). Calculation of Load Capacity of Bevel Gears, ISO. ISO 10300:2001.
12. International Organization for Standardization (2010). Calculation of Load Capacity of Worm Gears, ISO. ISO/TS 14521:2010.
13. American Gear Manufacturers Association (1994). Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth, American Gear Manufacturers Association.
14. Deutsches Institut fuer Normung EV (1987). 3990—Calculation of Load Capacity of Cylindrical Gears, DIN.
15. Load distribution model along the line of contact for involute external gears10.1016/j.mechmachtheory.2009.12.009 ↗
16. Effects of misalignment error, tooth modifications and transmitted torque on tooth engagements of a pair of spur gears10.1016/j.mechmachtheory.2014.09.011 ↗
17. Determination of the ISO face load factor in spur gear drives by the finite element modeling of gears and shafts10.1016/j.mechmachtheory.2013.02.006 ↗
18. Montgomery, J. (2002, January 22–24). Methods for modeling bolts in the bolted joint. Proceedings of the ANSYS User’s Conference, Canonsburg, PA, USA.
19. Romax Technology Ltd. (2003). Manual RU, Romax Technology Ltd.
20. Hibbitt, Karlsson, Sorensen (2001). ABAQUS/Explicit: User’s Manual, Hibbitt, Karlsson and Sorenson Incorporated.
21. MSC Nastran (2004). Basic Dynamic Analysis User’s Guide, MSC Software Corporation.
22. Stiffness and deflection analysis of complex structures10.2514/8.3664 ↗
23. Reduction of stiffness and mass matrices10.2514/3.2874 ↗
24. O’Callahan, J.C. (February, January 30). A procedure for an improved reduced system (IRS) model. Proceedings of the 7th International Modal Analysis Conference, Las Vegas, NV, USA.
25. Model reduction using dynamic and iterated IRS techniques10.1006/jsvi.1995.0451 ↗
26. Dynamic analysis of structural systems using component modes10.2514/3.2947 ↗
27. Coupling of substructures for dynamic analyses10.2514/3.4741 ↗
28. A hybrid method of component mode synthesis10.1016/0045-7949(71)90031-9 ↗
29. Partitioned component mode synthesis via a flexibility approach10.2514/1.10423 ↗
30. An enhanced Craig–Bampton method10.1002/nme.4880 ↗
31. An enhanced AMLS method and its performance10.1016/j.cma.2015.01.004 ↗
32. High-fidelity flexibility-based component mode synthesis method with interface degrees of freedom reduction10.2514/1.J054058 ↗
33. A general model reduction with primal assembly in structural dynamics10.1016/j.cma.2017.06.007 ↗