The Influence of the Angular Coordinate of a Fixed Gear Wheel on the Kinematic Error of a Harmonic Drive
Authors: Lyuminarsky I.E., Lyuminarsky S.E., Ivanov Y.S. | Published: 26.11.2019 |
Published in issue: #11(716)/2019 | |
Category: Mechanical Engineering and Machine Science | Chapter: Theory of Mechanisms and Machines | |
Keywords: harmonic drive, kinematic error, flexible gear, rigid gear, elastic interaction |
When designing harmonic drives, it is important to address the issue of reducing the kinematic error of the drive occurring due to the deformation of the flexible gear, radial oscillations of the cam, manufacturing and installation errors of the gears. Conventionally, this problem is solved by increasing the accuracy class of the gears and the parts where manufacturing errors impact the accuracy of cam installation. A mathematical model is proposed that enables researchers to study the dependency of the kinematic error of the harmonic drive on various factors already at the design stage. Calculation techniques are developed that take into account elastic interaction between the main elements of the drive as well as manufacturing and installation errors. The results of theoretical studies of the influence of the angular position of the flexible and rigid gears on the kinematic error of a harmonic drive with a cam wave generator are presented. The possibility of reducing the kinematic error by turning the fixed gear is proven.
References
[1] Istomin S.N., Shuvalov S.A., Popov P.K. Kinematicheskaya tochnost’ pribornykh volnovykh peredach [The kinematic accuracy of the instrument wave transmission]. Moscow, Mashinostroyeniye publ., 1987. 160 p.
[2] Poletuchiy A.I. Teoriya i konstruirovaniye vysokoeffektivnykh volnovykh zubchatykh mekhanizmov [Theory and design of highly efficient wave gear mechanisms]. Kharkov, NAU “KHAI” im. M. Zhukovskogo, 2005. 675 p.
[3] Polyakov A.V. Povysheniye tochnosti vrashcheniya krugovykh privodov podach stankov s volnovymi reduktorami. Avtoreferat Kand. Diss. [Improving the accuracy of rotation of circular drives of feed machines with wave reducers. Cand. Diss.]. Moscow, 2004. 22 p.
[4] Ghorbel F.H., Gandhi P.S. Alpeter F. On the kinematic error in harmonic drive gears. Journal of Mechanical Design, Transactions of the ASME, 2001, vol. 123, no. 1, pp. 90–97, doi: 10.1115/1.1334379
[5] Timofeyev G.A., Kostikov Yu.V. Degree of influence of manufacturing errors of wave gear parts on its kinematic precision. Machine drives and parts, 2016, no. 3, pp. 10–13 (in Russ.).
[6] Timofeyev G.A., Barbashov N.N. Analysis of Existing Errors in Double-Flank Wave Engagement. Herald of the Bauman Moscow State Technical University. Series Mechanical Engineering, 2017, no. 1(112), pp. 41–47 (in Russ.), doi: 10.18698/0236-3941-2017-1-41-47
[7] Lyuminarsky I.E., Lyuminarsky S.E. Kinematic error of a harmonic drive. MATEC Web of Conferences, 2018, vol. 224, no. art. 01039, doi: 10.1051/matecconf/201822401039
[8] Lyuminarskiy S.E. Influence of an error in running-in of flexible gear on the kinematic error VZP-80. Science and Education. BMSTU, 2012, no. 1 (in Russ.). Available at: http://technomag.edu.ru/doc/306686.html (accessed 15 January 2012).
[9] Klenikov S.S., Lyuminarskiy I.E., Semin I.I. The calculated model of wave transmissions taking into account the asymmetry of loading elements on the waves of engagement. Vestnik mashinostroyeniya, 1993, no. 1, 17 p. (In Russ.).
[10] Lyuminarskiy I.E., Lyuminarskiy S.E. Method of Design of Linear Systems with Unilateral Constraints in Static Loading. Herald of the Bauman Moscow State Technical University. Series Mechanical Engineering, 2009, no. 2(75), pp. 84–90 (in Russ.).
[11] Tayts B.A., Markov I.I. Tochnost’ i kontrol’ zubchatykh koles [Precision and control of gears]. Leningrad, Mashinostroyeniye publ., 1978. 136 p.
[12] Dunayev P.F., Lelikov O.P. Raschet dopuskov razmerov [Calculation of dimensional tolerances]. Moscow, Mashinostroyeniye publ., 2006. 400 p.