Abstract
A novel worm gear, named roller enveloping end face internal engagement worm gear, with multiple worm-wheel meshing is proposed to provide multiple outputs with high transmission efficiency and good lubrication for furthering industrial advances. As such, an original worm transmission device with roller enveloping internal end-face meshing was proposed based on the innovation in worm structure and gear meshing theory, which can bear 1–4 working load(s) on a single worm. This paper presents mathematical models of meshing characteristics for roller enveloping end face internal engagement worm gear, including both the contact curve and the tooth profile function based on the gearing meshing theory. In doing so, the tooth profile was calculated by MATLAB and the 3D solid model of worm were produced by Creo to measure the meshing properties of roller enveloping end face internal engagement worm gear. The kinematic simulation was also conducted to analyze meshing position and the corresponding meshing teeth. Our study shows that the overall performance of the original worm transmission device with roller enveloping end face internal meshing is good without any interference, and the output curve is basically consistent with the engaging performance. This study is expected to provide a new multiple outputs worm drive for industry, and the results are beneficial for designers to choose the best parameters.
Similar content being viewed by others
Change history
22 November 2017
The original version of this article unfortunately
References
Dudas L (2012) Modelling and simulation of a new worm gear drive having point-like contact. Eng Comput 29(3):251–272
Medvedev VI, Volkov AE, Volosova MA et al (2015) Mathematical model and algorithm for contact stress analysis of gears with multi pair contact. Mech Mach Theory 86(2):156–171. doi:10.1016/j.mechmachtheory.2014.12.005
Menjak R, Menjak D (2006) Gear backlash elimination and justable gear backlash mechanism: USA, 6997076[P]. B2. 2003-2-10. http://www.google.com.ar/patents/US20040154422
Lumpkin T, Wolf T () Methods and apparatus for minimizing backlash in a planetary mechanism: USA, 7121973[P]. 2004-5-5. http://www.google.com.ar/patents/US7121973
Jinge WANG, Junfu ZHANG, Xingqiao DENG et al (2010) Parameter optimization of the anti-backlash double-roller enveloping hourglass worm gearing. J Mech Eng 46(21):6–12 (in Chinese)
Zhang G, Wang J, Long R et al (1993) The study on rolling cone enveloping hourglass worm gearing. Chin J Mech Eng 16(4):293–298
Deng X, Wang Horstemeyer MF et al (2012) Parametric study of meshing characteristics with respect to different meshing rollers of the anti-backlash double-roller enveloping worm gear. J Mech Des 134(8):081004
Deng X, Wang J, Junfu J (2010) The real tooth surface theory study of the non-backlash double-roller enveloping hourglass worm. J Southwest Jiaotong Univ 45(2):222–226 (in Chinese)
Deng X, Chen S, Wang J (2015) Roller enveloping internal gear and worm transmission device[P],CHINA, 201510002561.X[P].2015,01,05
Deng X, Chen S, Wang J (2015) One kind of automatic anti-backlash device of the planar roller enveloping internal gear and worm[P], CHINA, 20151000 5401.0 [P].2015,01,05
Deng X, Wang J, Zhang J (2010) Optimization design of the non-backlash double roller enveloping hourglass worm’s parameters based on genetic algorithm. J Sichuan Univ Eng Sci Ed 42(2):250–254 (in Chinese)
X Deng, J Wang, Horstemeyer MF et al (2013) Modification design method for an enveloping hourglass worm with consideration of machining and misalignment errors[J]. Chin J Mech Eng 26(5):948–956
Deng X, Xiang Z, Wang J (2011) Research on the tooth profile and contact curve of the non-backlash double-roller enveloping hourglass worm with errors. J Xi’an Univ 45(2):111–120 (in Chinese)
Eritenel T, Parker RG (2012) An investigation of tooth mesh nonlinearity and partial contact loss in gear pairs using a lumped- parameter model[J]. Mech Mach Theory 56(6):28–51
Fujisawa Y, Komori M (2015) Surface finishing method for tooth flank of heat-treated surface-hardened small gears using a gear-shaped tool composed of alumina-fiber-reinforced plastic. Precis Eng 39:234–242. doi:10.1016/j.precisioneng.2014.10.003
Golabi S, Fesharaki J, Yazdipoor M (2014) Gear train optimization based on minimum volume/weight design[J]. Mech Mach Theory 73(12):197–217
Simon V (2008) Influence of tooth errors and misalignments on tooth contact in spiral bevel gears. Mech Mach Theory 43(10):1253–1267
Lin WS, Shih YP, Lee JJ (2014) Design of a two-stage cycloidal gear reducer with tooth modifications. Mech Mach Theory 79(5):184–197
Li S (2014) Design and strength analysis methods of the trochoidal gear reducers[J]. Mech Mach Theory 81(7):140–154
Litvin F, Fuentes A, Hayasaka K (2006) Design, manufacture, stress analysis, and experimental tests of low-noise high endurance spiral bevel gears. Mech Mach Theory 41(1):83–118
Tunalioğlu MŞ, TUÇ B (2014) Theoretical and experimental investigation of wear in internal gears[J]. Wear 309(1):208–215
Yonghong CHEN, Zhang G, Chen B et al (2013) A novel enveloping worm pair via employing the conjugating planar internal gear as counterpart. Mech Mach Theory 67(2):17–31
Taguchi G. Konishi S (1987) Taguchi methods, orthogonal arrays and linear graphs, tools for quality American supplier institute. American supplier institute, pp 8–35
Chan C-C, Wen-Chia HSU, Chang C-C et al (2010) Preparation and characterization of gasochromic Pt/WO3 hydrogen sensor by using the Taguchi design method. Sens Actuators B Chem 145(2):691–697
Deng XQ, Potula S, Grewal H, Solanki KN et al (2013) Finite element analysis of occupant head injuries: parametric effects of the side curtain airbag deployment interaction with a dummy head in a side impact crash. Accid Anal Prev 55(2):232–241
Deng X, Zhu W, Chen Y, Chen S, Wang J (2017) Optimal Design for an End Face Engagement Worm Gear with Multiple Worm-Wheel Meshing [J]. Chin J Mech Eng 1(30):144–151
Acknowledgements
Supported by National Natural Science Foundation of China (Grant No.51305356), Spring Sunshine Plan of Ministry of Education of China(Grant No.14202505 and51575456), and Talent Introduction of Xihua University, China (Grant No. Z1220217).
Author information
Authors and Affiliations
Corresponding author
Additional information
Technical Editor: Fernando Antonio Forcellini.
A correction to this article is available online at https://doi.org/10.1007/s40430-017-0916-4.
Rights and permissions
About this article
Cite this article
Zheng, L., Deng, X., Wang, J. et al. Study on the roller enveloping end face internal engagement worm gear. J Braz. Soc. Mech. Sci. Eng. 39, 2701–2711 (2017). https://doi.org/10.1007/s40430-017-0738-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40430-017-0738-4