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Volume 9, issue 2 | Copyright
Mech. Sci., 9, 307-325, 2018
https://doi.org/10.5194/ms-9-307-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 28 Sep 2018

Research article | 28 Sep 2018

The nonlinear vibrations of orthogonal mechanism of vibrating table in view of friction

Zharilkassin Iskakov1, Kuatbay Bissembayev2, and Nutpulla Jamalov3 Zharilkassin Iskakov et al.
  • 1Almaty University of Power Engineering and Telecommunications, Institute of Mechanics and Machine Science, Almaty, 050010, Kazakhstan
  • 2Abay Kazakh National Pedagogical University, Institute of Mechanics and Machine Science, Almaty, 050010, Kazakhstan
  • 3Al Farabi Kazakh National University, Institute of Mechanics and Machine Science, Almaty, 050010, Kazakhstan

Abstract. In dynamics of the orthogonal mechanism of vibrating table main attention is paid to the effect of friction on vibrational process when it is interacting with non-ideal energy source. As a result of analysis of numerical solutions of nonlinear equation of motion, it is established that in general, for the period of rotation, both sliding friction and rotational friction increase the difference between the maximum and minimum angular velocity values of the driving link (engine shaft) when its average value is constant; both increase the coefficient of non-uniformity of rotation. When there is a cargo of significant mass in the working link, the effect of sliding friction impacts more on the amplitude and frequency of the angular velocity oscillations of the driving link (engine shaft) and on the frequency of the coordinate changes, as well as on the frequencies and maximum and minimum values of the projections of the velocity and acceleration of the hinge linking the work platform to coupler. Similarly, the larger of the load mass, the stronger the effect of rotational friction on the amplitude and frequency of angular velocity oscillations of the driving link (engine shaft).

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• With a large load on the vibrating table, the oscillation of the motor shaft angular velocity and the effect of friction on it are more significant. • Simulink model of the mechanism was developed for numerical calculations. • Friction increases the difference between the maximum and minimum values of the angular velocity and the coefficient of non-uniformity of rotation. • Sliding friction influences the frequency, the maximum and minimum values of the work-table kinematic parameters.
• With a large load on the vibrating table, the oscillation of the motor shaft angular...
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