Studying the domains of existence of wave gears with external and internal wave generators
Authors: Timofeev G.A. | Published: 04.07.2014 |
Published in issue: #7(652)/2014 | |
Category: Calculation and Design of Machinery | |
Keywords: wave gears, wave generator, flexible wheel, rigid wheel, existence domain, engagement parameters |
The results of studies of the geometry of involute wave gears with external and internal wave generators are presented. The domains of their existence are obtained and the design parameters are chosen. Unlike the domains of existence for conventional internal and external gear trains, the design domains for wave gears are constructed in the coordinates (xг; zг), (w0/m; zг), and (w0/rс.г; xг). The flexible and rigid wheel teeth have involute profiles. The resulting domains of existence are calculated using special computational techniques. The proposed approach will allow the designers to choose the engagement parameters of wave gears that are little studied and develop wave gears with desired characteristics.
References
[1] Krainev A.F. Mekhanika mashin. Fundamental’nyi slovar’ [Mechanics of Machines. Fundamental dictionary]. Moscow, Mashinostroenie publ., 2000. 904 p.
[2] Dudko V.B. Issledovanie zatsepleniia volnovoi zubchatoi peredachi s uchetom prostranstvennoi deformatsii gibkogo kolesa. Diss. kand. tekh. nauk [Study of the wave gear meshing with spatial flexible deformation of the wheel. Cand. tech. sci. diss.]. Moscow, Bauman Press, 1974. 187 p.
[3] Tarabarin V.B. Issledovanie volnovykh differentsial’nykh mekhanizmov dlia slediashchikh privodov. Diss. kand. tekh. nauk [Investigation of wave differential mechanisms for servo drives. Cand. tech. sci. diss.]. Moscow, Bauman Press, 1976. 175 p.
[4] Samoilova M.V. Issledovanie kombinirovannykh planetarno-volnovykh mekhanizmov. Diss. kand. tekh. nauk [The study combined planetary wave mechanisms. Cand. tech. sci. diss.]. Moscow, Bauman Press, 2000. 168 p.
[5] Timofeev G.A. Razrabotka metodov rascheta i proektirovaniia volnovykh zubchatykh peredach dlia privodov slediashchikh sistem. Diss. dokt. tekh. nauk [Development of methods of calculation and design of wave gear drives for servo systems. Doct. tech. sci. diss.]. Moscow, Institute of Machines Science named after A.A. Blagonravov of the Russian Academy of Sciences publ., 1997. 352 p.
[6] Vulgakov E.B. Teoriia evol’ventnykh zubchatykh peredach [Theory of involute gears]. Moscow, Mashinostroenie publ., 1995. 320 p.
[7] Ivanov S.L. Oblast’ sushchestvovaniia zatsepleniia tsilindricheskikh zubchatykh koles s zadannym koeffitsientom perekrytiia [Region of existence of spur gears meshing with the specified overlap ratio]. Zapiski Sankt-Peterburgskogo gosudarstvennogo gornogo instituta imeni G.V. Plekhanova [Notes of the St. Petersburg State Mining Institute named after G.V. Plekhanov]. 1993, vol. 138, pp. 15–22.
[8] Tkachev A.A. Razrabotka sistemy dialogovogo proektriovaniia evol’ventnykh tsilindricheskikh zubchatykh peredach. Diss. kand. tekh. nauk [Develop a system dialog design of involute cylindrical gears. Cand. tech. sci. diss.]. Izhevsk, Kalashnikov Izhevsk State Technical University publ., 1999. 128 p.
[9] Pliasov A.V. Geometricheskii sintez vnutrennikh evol’ventnykh zatseplenii planetarnykh peredach s bol’shim peredatochnym otnosheniem. Diss. kand. tekh. nauk [Geometrical synthesis of internal links involute planetary gear with high transmission ratio. Cand. tech. sci. diss.]. Tula, TulGU publ., 2006. 200 p.
[10] Sidorov P.P., Kriukov V.A., Pashin A.A. Upravlenie i optimizatsiia parametrov vnutrennikh zatseplenii [Management and optimization of the parameters of internal links]. Sbornik trudov: Sovremennye problemy i metodologiia proektirovaniia i proizvodstva silovykh zubchatykh peredach [Proceedings of the Current problems and methodology of designing and manufacturing power gears]. Tula, TulGU publ., 2000, pp. 76–79.
[11] Sidorov P.G., Pashin A.A., Pliasov A.V. Algoritm analiza i sinteza i formirovanie vnutrennikh evol’ventnykh zatseplenii s garantirovannymi kharakteristikami [Algorithm analysis and synthesis and the formation of internal involute gearings with guaranteed performance]. Izvestiia TulGU. Ser. Mashinovedenie, sistemy privodov i detali mashin [Proceedings of TulGU. Ser. Machines drive systems and machine parts]. 2004, issue 1, pp. 51–61.
[12] Sil’chenko P.N., Kolotov A.V., Merko M.A. Postroenie ob’emnykh blokiruiushchikh konturov pri raschete zubchatykh peredach s zatsepleniem dvukh i bolee koles dlia obespecheniia trebuemykh ekspluatatsionnykh pokazatelei [Building bulk blocking circuits in the calculation of gears meshing with two or more wheels to provide the required performance indicators]. Tekhnologiia mashinostroeniia [Tekhnologiya Mashinostroeniya]. 2006, no. 9, pp. 57–60.
[13] Bolotovskii I.A. Spravochnik po geometricheskomu raschetu evol’ventnykh i cherviachnykh peredach [Handbook of geometric calculation of involute and worm gears]. Moscow, Mashinostroenie publ., 1986. 448 p.
[14] Litvin F.L. Development of Gear Technology and Theory of Gearing. Chicago, University of Illinois at Chicago, 1997. 124 p.