Modelling of Critical Velocities of the Cardan Mechanism using Transfer Matrix Method

https://doi.org/10.26552/com.C.2021.1.B33-B38

  • Petr Hrubý
  • Tomáš Náhlík
Keywords: critical velocities, cardan mechanism, transfer matrix method, eigen frequencies, vibrations, automotive

Abstract

The presented paper focuses to rotating components of mechanical constructions. The problem of the spatial combined bending-gyratory vibration and calculation of the Eigen frequencies is studied. The model of Cardan Mechanism is solved by the transfer matrix method. Transfer matrices were derived for shaft, concentrated mass and elastic bearing. The physical and mechanical properties of each part of the mechanism are hidden in these matrices. A procedure for calculating Eigen frequencies was proposed.

Author Biographies

Petr Hrubý

Department of Mechanical Engineering, Institute of Technology and Business, Ceske Budejovice, Czech Republic

Tomáš Náhlík

Department of Informatics and Natural Sciences, Institute of Technology and Business, Ceske Budejovice, Czech Republic

Published
2021-01-04
How to Cite
Petr Hrubý, & Tomáš Náhlík. (2021). Modelling of Critical Velocities of the Cardan Mechanism using Transfer Matrix Method. Communications - Scientific Letters of the University of Zilina, 23(1), B33-B38. https://doi.org/10.26552/com.C.2021.1.B33-B38
Section
Mechanical Engineering in Transport