Determination of contact pattern for double enveloping worm gear

• Autorzy: Połowniak Piotr , Sobolak Mariusz , Marciniec Adam

Identyfikatory

DOI

10.2478/amst-2019-0024

• Języki publikacji: EN

Abstrakty

EN

The paper presents the method of determining geometric contact pattern by using the direct computer-aided design (CAD) method for ideal globoid worm gear in which mounting deviations are considered. The tooth contact analysis was performed for all cycle of worm rotation. Based on the results of temporary contact pattern, graphical characteristics of the contact area size depending on worm position were made. A complete analysis of the correctness of gear meshing can be obtained based on presented method. If the worm or worm wheel is incorrectly designed in terms of the geometry, the meshing simulation of CAD models can indicate the collision. Geometric contact pattern analyses were made at two pressure angles of ideal gear. The analysis of the influence of mounting deviations was done against one selected pressure angle and one gear position.

Słowa kluczowe

EN

globoid worm gear; contact pattern; CAD environment; tooth contact analysis; meshing simulation

PL

globoidalna przekładnia ślimakowa; ślad styku; środowisko CAD; analiza styku zębów; symulacja zazębienia

• Wydawca: Komitet Budowy Maszyn PAN ; De Gruyter
• Czasopismo: Advances in Manufacturing Science and Technology
• Rocznik: 2020
• Tom: Vol. 44, nr 4
• Strony: 145--154
• Opis fizyczny: Bibliogr. 29 poz., rys., tab., wykr.

Twórcy

autor

Połowniak Piotr

• The Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology al. Powstańców Warszawy 12 35-959 Rzeszów, Poland

autor

Sobolak Mariusz

• The Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology al. Powstańców Warszawy 12 35-959 Rzeszów, Poland

autor

Marciniec Adam

• The Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology al. Powstańców Warszawy 12 35-959 Rzeszów, Poland

Bibliografia

• [1] I. Dudas: The theory and practice of worm gear drives. Penton Press, London 2000.
• [2] W.P. Crosher: Design and Application of the Worm Gear. ASME Press, New York 2002.
• [3] F.L. Litvin: Development of gear technology and theory of gearing. NASA, Levis Research Center, 1999.
• [4] F.L. Litvin, A. Fuentes: Gear geometry and applied theory. Cambridge University Press 2004.
• [5] L. DUDÁS: New technology for manufacturing quasi-globoid worm gearings. Mater. Sci. Eng., 448(2018), 012035.
• [6] Y. Chen, et al.: Development and classification of worm drive. The 14th IFToMMWorld Congress in Taiwan 2015.
• [7] K.Y. Chen, Ch.B. Tsay: Mathematical model and worm wheel tooth working surfaces of the ZN-type hourglass worm gear set. Mech. Mach. Theory., 44(2009), 1701-1712.
• [8] L.V. Mohan, M.S. Shunmugam: Geometrical aspects of double enveloping worm gear drive. Mech. Mach. Theory., 44(2009), 2053-2065.
• [9] Ch. Huai, Y. Zhao: Variable height modification of TA worm drive. Proc. Inst. of Mech. Eng., Part C: J. Mech. Eng. Sci., 233(2018), 095440621875726.
• [10] F. He, Z. Shi, B. Yu: Effects of tooth surface modification on planar double-enveloping hourglass worm gear drives. J. Adv. Mech. Des., Syst., Manuf., 12(2018), JAMDSM0040-JAMDSM0040.
• [11] Y. Zhao, Y. Zhang: Computing method for induced curvature parameters based on normal vector of instantaneous contact line and its application to Hindley worm pair. Adv. Mech. Eng., 9(2017), 168781401772188.
• [12] Y. Zhao, Y. Zhang: Novel methods for curvature analysis and their application to TA worm. Mech. Mach. Theory., 97(2016), 155-170.
• [13] V. Simon: A new type of ground double enveloping worm gear drive. Proc. ASME 5th Int. Power Transm. and Gearing Conf., Chicago, 1989, 281-288.
• [14] V. Simon: Double enveloping worm gear drive with smooth gear tooth surface. Proc. Int. Conf. on Gearing, Zhengzhou, China, 1988, 191-194.
• [15] S. Lagutin, E. Gudov, B. Fedotov: Manufacturing and load rating of modified globoid gears. Balkan J. Mech. Transm. (BJMT). 1(2011), 45-53.
• [16] A.V. Sutyagin, L.S. Mal’ko, I.V. Trifanov: More efficient machining of globoid worm gears. Rus. Eng. Res., 35(2015), 623-627.
• [17] Y. Chen, et al.: Study on the spur involute gear meshing with planar enveloping hourglass worm based on local conjugate. Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 232(2017), 095440621770821.
• [18] Y. Zhao, Ch. Huai, Y. Zhang: Compound modification of globoidal worm drive with variable parameters. Appl. Math. Model., 50(2017), 17-38.
• [19] P. Polowniak, M. Sobolak: Mathematical description of tooth flank surface of globoidal worm gear with straight axial tooth profile. Open Eng., 7(2017), 407-415.
• [20] Z. Liu, et al.: A novel CNC machining method for enveloping surface. Int. J. Adv. Manuf. Technol., 85(2015), 779-790.
• [21] Z. Liu, et al.: Digitization modelling and CNC machining for cone-generated double-enveloping worm drive. Int. J. Adv. Manuf. Technol., 95(2018), 3393-3412.
• [22] A.L. Kheyfets: Geometrically accurate computer 3D models of gear drives and hob cutters. Procedia Eng., 150(2016), 1098- 1106.
• [23] A.L. Kheyfets: Programming while construction of engineering 3D models of complex geometry. Mat. Sci. Eng., 262(2017), 012111.
• [24] P. Połowniak, M. Sobolak: Modelling a globoid worm in CAD environment. Miesięcznik Naukowo – Techniczny Mechanik, 1(2015), 71-74. (in Polish).
• [25] P. Połowniak, M. Sobolak: Modelling a globoid worm wheel in CAD environment. Miesięcznik Naukowo – Techniczny Mechanik, 3(2015), 250-252. (in Polish).
• [26] P. Połowniak, M. Sobolak: Effect of the extreme hob edge on generation of the worm wheel tooth flank. Miesięcznik Naukowo – Techniczny Mechanik, 7(2016), 625–627. (in Polish).
• [27] M. Sobolak: Analysis and synthesis of mating gear tooth surface by discrete methods. Rzeszow University of Technol. Publ., Rzeszow, 2006. (in Polish).
• [28] M. Batsch, et al.: Measurement and mathematical model of convexo-concave Novikov gear mesh. Measurement, 125(2018), 516-525.
• [29] M. Sobolak, et al.: Application of polymeric materials for obtaining gears with involute and sinusoidal profile. Polimery, 7-8(2020), 563-567.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).