Full Text:   <3193>

Summary:  <1999>

CLC number: TH13

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2014-03-17

Cited: 3

Clicked: 8248

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2014 Vol.15 No.4 P.302-308

http://doi.org/10.1631/jzus.A1300323


Analysis of a load application point in spline coupling teeth


Author(s):  Francesca Cur, Andrea Mura

Affiliation(s):  . Department of Mechanical and Aerospace Engineering, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy

Corresponding email(s):   andrea.mura@polito.it

Key Words:  Spline coupling, Pitch force, Teeth load, Parallel offset


Share this article to: More <<< Previous Article|

Francesca Curà, Andrea Mura. Analysis of a load application point in spline coupling teeth[J]. Journal of Zhejiang University Science A, 2014, 15(4): 302-308.

@article{title="Analysis of a load application point in spline coupling teeth",
author="Francesca Curà, Andrea Mura",
journal="Journal of Zhejiang University Science A",
volume="15",
number="4",
pages="302-308",
year="2014",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1300323"
}

%0 Journal Article
%T Analysis of a load application point in spline coupling teeth
%A Francesca Curà
%A Andrea Mura
%J Journal of Zhejiang University SCIENCE A
%V 15
%N 4
%P 302-308
%@ 1673-565X
%D 2014
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1300323

TY - JOUR
T1 - Analysis of a load application point in spline coupling teeth
A1 - Francesca Curà
A1 - Andrea Mura
J0 - Journal of Zhejiang University Science A
VL - 15
IS - 4
SP - 302
EP - 308
%@ 1673-565X
Y1 - 2014
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1300323


Abstract: 
The objective of this paper is to investigate the position of the resultant force in involute spline coupling teeth due to the contact pressure distribution for both ideal and misaligned conditions. In general, spline coupling teeth are in contact all along the involute profile and the load is far from uniform along the contact line. Theoretical models available in publications consider the resultant contact force as it is applied at the pitch diameter, and this study aims to evaluate the error introduced within the confines of a common approximation environment. This analysis is carried out through using finite element method (FEM) models, considering spline couplings in both ideal and misaligned conditions. Results show that the differences between the load application diameter and pitch diameter are not very obvious in both ideal and misaligned conditions; however, this approximation becomes more important for the calculation of the tooth stiffness.

花键联接齿轮荷载点的分析

研究目的:研究理想和偏差条件下接触压力分布导致的花键联接渐开线齿的合力位置。
创新要点:分别给出了额定条件和两轴偏移条件下载荷直径和节径的偏差,并分析了荷载点齿轮刚度和接触压力分布的影响。
研究方法:运用有限元模型分别分析在理想条件和两轴偏移条件下花键联接的影响。
重要结论:验证了传统上应用于径节的花键联接啮合齿接触合力的近似法。在额定条件下,载荷直径和径节的偏差随载荷等级的增加而增加。在0.08 mm两轴偏移模型下,有限元法获得的结果与理论径节的最大偏差为2.94%。一般的,在理想联接和两轴偏移花键联接条件下,载荷直径和径节的偏差并不大。径节处载荷和实际荷载点所获得的刚度偏差接近15%。荷载点变化的影响与轴向压力分布相关,即该参数受荷载点位置的影响。

关键词:花键联接;节距力;齿轮载荷;两轴偏移

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

References

[1] Adey, R.A., Baynham, J., Taylor, J.W., 2000. Development of analysis tool for spline couplings. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 214(6):347-357. 


[2] Barrot, A., Paredes, M., Sartor, M., 2006. Determining both radial pressure distribution and torsional stiffness of involute spline couplings. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 220(12):1727-1738. 


[3] Barrot, A., Paredes, M., Sartor, M., 2009. Extended equations of load distribution in the axial direction in a spline coupling. Engineering Failure Analysis, 16(1):200-211. 


[4] Cornell, R.W., 1981. Compliance and stress sensitivity of spur gear teeth. ASME Journal of Mechanical Design, 103(2):447-459. 

[5] Cuffaro, V., Cur, F., Mura, A., 2012. Analysis of the pressure distribution in spline couplings. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 226(12):2852-2859. 


[6] Cuffaro, V., Cur, F., Mura, A., 2014. Experimental investigation about surface damage in straight and crowned misaligned splined couplings. Key Engineering Materials, 577-578:353-356. 


[7] Cur, F., Mura, A., 2013. Experimental procedure for the evaluation of tooth stiffness in spline coupling including angular misalignment. Mechanical Systems and Signal Processing, 40(2):545-555. 


[8] Cur, F., Mura, A., Gravina, M., 2013. Load distribution in spline coupling teeth with parallel offset misalignment. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 227(10):2195-2205. 


[9] Curti, G., Cur, F., 1999.  Comportamento Meccanico dei Materiali: Lezioni-Esercizi. (in Italian), CLUT,Torino :

[10] Dudley, D.W., 1957. How to design involute splines. Product Engineering, October,:75-80. 

[11] Liu, Z.S., Zhao, G., 2007. Modeling research on radial force in gear coupling with parallel misalignment. , 12th IFToMM World Congress, Besanon, France, :

[12] Medina, S., Olver, A.V., 2002. An analysis of misaligned spline couplings. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 216(5):269-279. 


[13] Oda, S., Koide, T., Ikeda, T., Umezawa, ., 1986. Effects of pressure angle on tooth deflection and root stress. Bulletin of JSME, 29(255):3141-3148. 

[14] ODonnell, W.J., 1960. The additional deflection of a cantilever due to the elasticity of the support. ASME Journal of Applied Mechanics, 27(3):461-464. 

[15] Silvers, J., Sorensen, C.D., Chase, K.W., 2010.  A new statistical model for predicting tooth engagement and load sharing in involute splines. AGMA Technical Resources,Alexandria, Virginia :

[16] Terauchi, Y., Nagamura, K., 1981. Study on deflection of spur gear teeth: 2nd report, calculation of tooth deflection for spur gears with various tooth profiles. Bulletin of JSME, 24(188):447-452. 

[17] Tjernberg, A., 2001. Load distribution and pitch errors in a spline coupling. Materials and Design, 22(4):259-266. 


[18] Tjernberg, A., 2001. Load distribution in the axial direction in a spline coupling. Engineering Failure Analysis, 8(6):557-570. 


[19] Vogt, F., 1925. Uber Die Berechnung der Fundament Deformation, Avhandlinger utgil av Det Norske Videnshaps, Akademi I Oslo. , Klasse, 2, (in German), I Math-Naturv,:

[20] Weber, C., 1949. The deformation of loaded gears and the effect on their load carrying capacity, Report No. 3, Sponsored Research (Germany), British Department of Scientific and Industrial Research,:


Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE