Communications - Scientific Letters of the University of Zilina 2018, 20(4):36-40 | DOI: 10.26552/com.C.2018.4.36-40

Mathematical Modelling of Shafts in Drives

Petr Hruby1, Tomas Nahlik2, Dana Smetanova2
1 Department of Mechanical Engineering, The Institute of Technology and Business, Ceske Budejovice, Czech Republic
2 Department of Informatics and Natural Sciences, The Institute of Technology and Business, Ceske Budejovice, Czech Republic

Propeller shafts of the vehicle's drive transmit a torque to relatively large distances. The shafts are basically long and slender and must be dimensioned not only in terms of torsional stress, but it is also necessary to monitor their resistance to lateral vibration.In the paper, a simple model (of the solved problem) is constructed by the method of physical discretization, which is evident from the nature of the centrifugal force fields' influence on the spectral properties of the shaft. An analytical solving of speed resonances prop shafts test model (whose aim is to obtain values for verification subsequently processed models based on the transfer-matrix method and the finite element method) is performed.

Keywords: Hook's joint; shaft; vibration; mathematical and physical model; transfer matrix; Finite element method

Received: July 9, 2018; Accepted: October 31, 2018; Published: December 31, 2018  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Hruby, P., Nahlik, T., & Smetanova, D. (2018). Mathematical Modelling of Shafts in Drives. Communications - Scientific Letters of the University of Zilina20(4), 36-40. doi: 10.26552/com.C.2018.4.36-40
Download citation

References

  1. EVERNDEN, H. I. F.: The Propeller Shaft or Hooke's Coupling and the Cardan Joint [online]. Proceedings of the Institution of Mechanical Engineers: Automobile Division, 2(1), 100-110, 2006. Available: http://journals.sagepub.com/doi/10.1243/PIME_AUTO_1948_000_013_02 [accessed 2018-07-09]. https://doi.org/10.1243/PIME_AUTO_1948_000_013_02. ISSN 0367-8822 Go to original source...
  2. HADDARA, M. R.: On the Transverse Vibration of a Propeller-Tail Shaft System. Ocean Engineering, 15(2), 119-126, 1988. https://doi.org/10.1016/0029-8018(88)90023-6 Go to original source...
  3. HAJEK, E., REIF, P., VALENTA, F.: Flexibility and Strength I / Pruznost a Pevnost I (in Czech). State Publishing House of Technical Literature (SNTL), Prague, 1988.
  4. HAJEK, E., REIF, P., VALENTA, F.: Flexibility and strength II / Pruznost a Pevnost II (in Czech). Czech Technical University in Prague (CVUT), Prague, 1985.
  5. HRUBY, P.: Cardan Coupling Shaft Vibrations in the Rotating Plane. PhD. thesis, University of Mechanical and Electrical Engineering (VSSE), Plzen, 1979.
  6. HRUBY, P., NAHLIK, T., SMETANOVA, D.: Proposal Mathematical Model for Calculation of Modal and Spectral Properties. Post-conference proceedings of extended versions of selected papers of conference Mathematics, Information Technologies and Applied Sciences (MITAV 2017), Czech Republic, 131-140, 2017.
  7. REDDY, J. N.: An Introduction to the Finite Element Method, 2nd ed. McGraw-Hill, New York, 1993.
  8. HRUBY, P., HLAVAC, Z., ZIDKOVA, P.: Application of the Finite Element Method in Determination of Modal and Spectral Properties of Propeller Shafts Bending Vibrations. Proceedings of the 5th biannual CER Comparative European Research Conference - international scientific conference for Ph.D. students of EU countries, United Kingdom, 132-135, 2016.
  9. HOSCHL, C.: The Use of Small Computers in the Dynamics of Systems. DT CSVTS Prague, 1983.
  10. HRUBY, P.: Bending-Gyratory Vibrations of Shafts in Drives with Joints. University of Mechanical and Electrical Engineering (VSSE), Plzen, 1981.
  11. ZIDKOVA, P., HRUBY, P.: Mathematical Model of One-Dimensional Continuum in State of Combined Bending-Gyratory Vibration / Matematicky Model Jednorozmerneho Kontinua ve Stavu Kombinovaneho Ohybove-Krouziveho Kmitani (in Czech). Proceedings of International Masaryk Conference for Ph.D. Students and Young Researchers (MMK 2016), Czech Republic, 1804-1813, 2016.
  12. HRUBY, P., HLAVAC, Z., ZIDKOVA, P.: The Transfer-Matrix Method in the Application for an One-Dimensional Linear Continuum Speed Resonance. Proceedings of the 5th biannual CER Comparative European Research Conference - international scientific conference for Ph.D. students of EU countries, United Kingdom, 141-145, 2016.

This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.