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Elementary Calculations for Deflection of Circular Rings

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Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The traction drives requires initial tension. Let us imagine such kind of epicyclic drive or harmonic drive. In both cases the annular wheel is made of spring steel and its load is bending. The stiffness of the ring is large enough to produce the required normal force between the annular and the planetary wheels or between the ring and the flexible, cup shaped wheel. The transmission ratio depends on the ratio of planetary and sun wheel in the planetary drive, or the difference between the circumferences of ring wheel and the cup shaped wave wheel on the harmonic drive. Both the deflection of ring wheel and the number of planetary wheels or the number of deflection wave increase the load carrying capacity and decrease the bending moment. The problem of deflection can be managed by differential equation or any kind of energy method. The analysis of equivalence of the outcomes closes the paper.

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References

  1. Németh G, Németh N, Péter J (2015) Strength calculation of elastic elements in epicyclic traction drive (in Hungarian). In: Sándor B (ed) Műszaki Tudomány az Észak-Kelet Magyarországi Régióban 2015 Konferencia előadásai, Debreceni Akadémiai Bizottság Műszaki Szakbizottsága, pp 213–219. ISBN:978-963-7064-32-6

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  2. Németh G, Péter J, Németh N (2013) A new type of epicyclic traction drive. Adv Mech Eng 1(1):137–142. ISBN:978-963-473-623-3

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  3. Timoshenko S (1968) Strength of materials, elementary theory and problems. Princeton, New Jersey, pp 442

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Acknowledgements

The research work presented in this paper/study/etc. based on the results achieved within the TÁMOP-4.2.1.B-10/2/KONV-2010-0001 project and carried out as part of the TÁMOP-4.1.1.C-12/1/KONV-2012-0002 project in the framework of the New Széchenyi Plan. The realization of this project is supported by the European Union, and co-financed by the European Social Fund. The research work was supported by the Hungarian Scientific Research Found grants OTKA 29326 and Fund for the Development of Higher Education FKFP 8/2000 project.

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Correspondence to Géza Németh .

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Németh, G. (2017). Elementary Calculations for Deflection of Circular Rings. In: Jármai, K., Bolló, B. (eds) Vehicle and Automotive Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-51189-4_12

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  • DOI: https://doi.org/10.1007/978-3-319-51189-4_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-51188-7

  • Online ISBN: 978-3-319-51189-4

  • eBook Packages: EngineeringEngineering (R0)

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