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Vibration Analysis of a Low-Power Reduction Gear

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Free vibrations of a low-power reduction gear engaged with a hydraulic pump of the test rig are discussed. Vibration analysis is performed with the finite element representation and commercial ANSYS program. Vibration analysis of an examined system is conducted in the two stages. The natural frequencies of free transverse vibrations of the gears are first generated, and on the basis of the Campbell diagrams, the excitation speeds for several natural frequencies of examined gears are calculated. Then the free vibrations of a reduction gear are analyzed, and two computational cases are presented. In the first case, only the mass and geometry of all parts of the body are considered. In the second case, the mass of tooth gears is also taken into account. Based on the FE models, the first ten natural frequencies and natural mode shapes of a reduction gear are calculated. Then, these results are used to estimate the stress level in the walls of the body for a permissible acceleration value. As expected, smaller stress values for a permissible acceleration value are obtained for the second finite element model of the system. The problems discussed here can be helpful for engineers dealing with the dynamics of gear systems.

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References

  1. C. W. de Silva, Vibration and Shock Handbook, Taylor & Francis, Boca Raton, FL (2005).

    Book  Google Scholar 

  2. J. H. Wang, G. Li, Z. F. Liu, et al., “Studies of static and dynamic characteristics of the EDM machine based on the ANSYS workbench,” Strength Mater., 47, No. 1, 87–93 (2015).

    Article  Google Scholar 

  3. T. Markowski, S. Noga, and S. Rudy, “Modelling and vibration analysis of some complex mechanical systems,” in: N. Baddour (Ed.), Recent Advances in Vibrations, Intech Open Access Publisher, Rijeka (2011), pp. 143–168.

  4. Wenli Zhao, Xiaojun Zhou, and Meina Shen, “A metchod of virtual design of the fatigue life of a dynamic structure,” Strength Mater., 47, No. 3, 507–513 (2015).

    Article  Google Scholar 

  5. X. W. Tangpong, J. A. Wickert, and A. Akay, “Finite element model for hysteretic friction damping of traveling wave vibration in axisymmetric structures,” J. Vib. Acoust., 130, No. 1, 011005–011005-7 (2008).

  6. S. Wang, M. Huo, C. Zhang, et al., “Effect of mesh phase on wave vibration of spur planetary ring gear,” Eur. J. Mech. A/Solid, 30, No. 6, 820–827 (2011).

    Article  Google Scholar 

  7. D. R. Kiracofe and R. G. Parker, “Structured vibration modes of general compound planetary gear systems,” J. Vib. Acoust., 129, No. 1, 1–16 (2007).

    Article  Google Scholar 

  8. X. Wu and R. G. Parker, “Modal properties of planetary gears with an elastic continuum ring gear,” J. Appl. Mech., 75, No. 3, 031014–031014-12 (2008).

  9. A. P. Zinkovskii, I. G. Tokar’, and V. A. Kruts, “Influence of the local surface damage parameters on the natural frequencies of vibration of structural elements,” Strength Mater., 47, No. 2, 221–226 (2015).

    Article  Google Scholar 

  10. R. J. Drago and F. W. Brown, “The analytical and experimental evaluation of resonant response in high-speed, lightweight, highly loaded gearing,” J. Mech. Des., 103, No. 2, 346–356 (1981).

    Article  Google Scholar 

  11. R. Bogacz and S. Noga, “Free transverse vibration analysis of a toothed gear,” Arch. Appl. Mech., 82, No. 9, 1159–1168 (2012).

    Article  Google Scholar 

  12. S. Noga, T. Markowski, and R. Bogacz, “Method of determining the normal modes of toothed gears with complex geometry,” Sci. J. Silesian Univ. Technol. Ser. Transport [in Polish], 89, 119–127 (2015).

  13. S. Noga, Analytical and Numerical Problems of Systems with Circular Symmetry Vibrations [in Polish], Publishing House of Rzeszów University of Technology, Rzeszów, Poland (2015).

  14. R. Śliwa, M. Oleksy, O. Markowska, et al., “Composites of commercial unsaturated polyester resins containing nanofillers Nanobent®. Part II. Nanocomposites with domestic nanofillers applied in Vacuum Casting technology,” Polimery, 61, No. 1, 16–23 (2016).

    Article  Google Scholar 

  15. H. Vinayak and R. Singh, “Eigensolutions of annular-like elastic disks with intentionally removed or added material,” J. Sound Vib., 192, No. 4, 741–769 (1996).

    Article  Google Scholar 

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Authors and Affiliations

  1. Rzeszów University of Technology, Rzeszów, Poland

    S. Noga

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  1. S. Noga
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  2. T. Markowski
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Correspondence to S. Noga.

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Translated from Problemy Prochnosti, No. 4, pp. 45 – 53, July – August, 2016.

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Noga, S., Markowski, T. Vibration Analysis of a Low-Power Reduction Gear. Strength Mater 48, 507–514 (2016). https://doi.org/10.1007/s11223-016-9792-x

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  • DOI: https://doi.org/10.1007/s11223-016-9792-x

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