MATHEMATICAL MODELING OF TRANSMISSION START WITH AN ASYNCHRONOUS ELECTRIC MOTOR

Authors

DOI:

https://doi.org/10.20998/2078-7405.2020.93.05

Keywords:

elastic coupling, mechanical feedback, elastic characteristic, oscillation process, rotational mass, starting torque.

Abstract

The most difficult moment in the work with an asynchronous motor is the launch. And the more powerful drive is the more difficult launch. This is due to certain features of the asynchronous motors: a limited starting torque and starting throws of the current of the stator motor chain. The mathematical modeling of oscillating process of actuation of the actuator with an asynchronous motor, which includes an elastic coupling with nonlinear mechanical feedback, is carried out. The influence of the type of elastic characteristics of the coupling on the magnitude of the amplitude and frequency of the oscillation process and its time was studied. A single-mass rotational system model was used for the studies. According to the Runge-Kutta method, the oscillation processes of starting the transmission of a machine unit with an induction motor were investigated. To determine the coefficient of vibration isolation, a system with an elastic coupling having a linear elastic characteristic was calculated. A study was also conducted in the case where the coupling determines the elastic characteristics of the Duffing type "soft" and "hard" type.

Author Biographies

Kurgan Victor, Odessa National Polytechnic University

PhD, Senior Lecturer, Odessa National Polytechnic University, Ukraine

Sydorenko Ihor, Odessa National Polytechnic University

DrSc, Professor, Odessa National Polytechnic University, Ukraine

Litvinov Volodymyr, Odessa National Polytechnic University

PhD, Professor Ast, Odessa National Polytechnic University, Ukraine

Vaysman Vladyslav, Odessa National Polytechnic University

DrSc, Professor, Odessa National Polytechnic University, Ukraine

Kirkopulo Kateryna, Odessa National Polytechnic University

Senior Lecturer, Odessa National Polytechnic University, Ukraine

Kulik Volodymyr, Odessa National Polytechnic University

Senior Lecturer, Odessa National Polytechnic University, Ukraine

References

I. Sydorenko, V. Kurgan Synthesis of target elastic characteristics on the basis of elastic move with nonlinear mechanical refractory connection. Bulletin of the Khmelnytsky National University, 2017, no. 5(2), pp. 26-31.

Szolc T., Konowrocki R. Influence of Various Control Strategies on Transient Torsional Vibrations of Rotor-Machines Driven by Asynchronous Motors. In: Cavalca K., Weber H. (eds) Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM. IFToMM 2018. Mechanisms and Machine Science, 2019, vol 63. Springer, Cham.

Wang L., Jia Z. Analysis of the Soft Starting of Adjustable Speed Asynchronous Magnetic Coupling Used in Belt Conveyor. Communications in Computer and Information Science, 2018, vol 923. Springer, Singapore.

Zhang Q., Lu Q. Analysis on Rigid-Elastic Coupling Characteristics of Planar 3-RRR Flexible Parallel Mechanisms. Lecture Notes in Computer Science, 2017, vol 10463. Springer, Cham.

V. Olshanskiy, V. Burlaka Free oscillations of an oscillator with nonlinear positional friction. Ukrainian Journal of Mechanical Engineering and Materials Science, 2018, no. 4(2), pp. 50-57.

Hmida A., Hammami A. Modal Analysis of Spur Gearbox with an Elastic Coupling. Applied Condition Monitoring, 2017, vol 5. Springer, Cham.

X. Chen, J. Hu Bifurcation and chaos analysis of torsional vibration in a PMSM-based driven system considering electromechanically coupled effect, Nonlinear Dynamics, 2017, no. 88, pp. 277–292.

A. Andrukhiv, B. Sokil Asymptotic method in investigation of complex nonlinear oscillations of elastic bodies, Ukrainian Journal of Mechanical Engineering and Materials Science, 2018, no. 4(2), pp. 58-67.

A. Andrukhiv, B. Sokil Resonant phenomena of elastic bodies that perform bending and torsion vibrations, Ukrainian Journal of Mechanical Engineering and Materials Science, 2018, no. 4(1), pp. 65-73.

Wang C., Sun Q. Analysis on Asynchronous Start Permanent Magnet Synchronous Motor Cogging Torque Optimization Based on Equivalent Magnetic Motive Force, Lecture Notes in Electrical Engineering, 2018, vol 423. Springer, Singapore.

Nitzan S., Zega V. Self-induced parametric amplification arising from nonlinear elastic coupling in a micromechanical resonating disk gyroscope. 2015, Sci Rep 5, 9036, doi:10.1038/srep09036.

G. Arkhangelsk Efficiency of using an elastic coupling with an extended section of quasi-zero stiffness. Machine parts, 2015, no. 51, pp. 17-22.

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Published

2020-12-31

Issue

No. 93 (2020): Cutting & Tools in Technological System

Section

Mechanical processing of materials, the theory of cutting materials, mathematical and computer simulation of machining p

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