Start dynamics of vibrating machines with unbalanced drive considering its elasticity

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Authors:

N. P. Yaroshevich, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-2436-5608, Lutsk National Technical University, Lutsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

I. P. Zabrodets, orcid.org/0000-0001-6700-8400, Lutsk National Technical University, Lutsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

B. I. Dutchak, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0002-1710-3423, Lutsk National Technical University, Lutsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

T. S. Yaroshevich, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0001-8003-0514, Lutsk National Technical University, Lutsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. Investigation of start dynamic of the vibration machine with inertia vibration exciters considering the elastic connection of asynchronous electric motor rotors and unbalanced vibration exciter.

Methodology. Methods of applied theory of vibrations and method of direct division of motions are used for analytical research studies. The design of processes of running start of vibration machines is executed by using the numeral integration of equalizations of motions of the mechanical vibration system and equalizations of electromagnetic transients in asynchronous electric motors in the ‘Maple’ software environment.

Findings. It is shown that availability of elastic connection brings essential features to dynamics of vibration machine drive that should be considered when designing. Formulas for assessment of the starting deformation amplitudes and moments that occur in vibration machine drive coupling are obtained in an analytical form. It is demonstrated that oscillation amplitudes of elastic coupling at the start moment mostly depend on the remoteness of its own frequency from the current frequency in motor electricity network. An equation of coupling’s torsional oscillations close to stationary rotation mode of unbalanced vibration exciter is obtained. Relation between oscillation of bearing vibration system and coupling’s drive elasticity is revealed. It is found that during the start of vibration machines in case of Sommerfeld effect, resonant oscillation of elastic-damping elements (that connect motor and exciter rotors, which increase dynamic loads and energy losses in the system) excites, except resonant increase in braking vibration moment and “stopping” of engine speed.

Originality. Theoretical positions of dynamics of running approach of vibration machines with inertia drive considering elastic compounds of rotors of electrical motor with limited power and unbalanced vibration exciter power got their further development. It is found that if the spring element is in the drive, natural oscillation frequencies of vibration machine are added to its critical frequencies.

Practical value. The results of scientific work allow choosing options of vibration machines with unbalanced drive in a more reasonable way, which will reduce the amplitude of its start vibrations, dynamic loads and energy losses.

References.

1. Blekhman, I. I., 2013. Theory of vibration processes and devices. Vibration mechanics and vibration technology. St. Petersburg: The Publishing House “Ore and Metals”.

2. Li, Y., Li, H., Wei, X. and Wen, B., 2015. Verification of self-synchronism of a nonlinear oscillatory system with double homodromy rotors. In:IEEE International Conference on Mechatronics and Automation, рр. 1911–1916.

3. Michalczyk, J. and Pakuła, S., 2016. Phase control of the transient resonance of the automatic ball balancer. Mechanical Systems and Signal Processing, 72–73, pp. 254–265.

4. Kuzio, I. V., Lanets, O. V. and Gurskyi, V. M., 2013. Synthesis of low-frequency resonance vibratory machines with an aeroinertia drive. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 2, рp. 37–45.

5. Hou, Y., Fang, P., Du, M. and Nan, Y., 2016. Synchronization Investigation Of Vibration System Of Two Co-Rotating Rotor With Energy Balance Method, Advances in Mechanical Engineering, 8(1), рр. 1–19.

6. I. I., Vasil’kov, V. B. and Yaroshe­vych, N. P., 2013. On Some Opportunities for Improving Vibration Machines with Self-Synchronization Inert, Vibration Exciters Journal of Machinery Manufacture and Reliability, 42(3), рр. 192–195.

7. Filimonikhin, G. B. and Yatsun, V. V., 2016. Investigation of the process of excitation of two frequency vibrations by ball auto-balancer of Gil 42 screens. Eastern-European Journal of Enterprise Technologies, 1(7(79)), pp. 17–23.

8. Blekhman, I. I., 2015. Self-synchronism in nature and technique. Moscow: LENAND.

9. Tchaban, V. and Lyshuk, V., 2013. Mathematical model vnit power asynchronous machines. Lutsk: LNТU.

10. Yaroshevich, N. P. andSilivoniuk, A. V., 2013. On some features of run-up dynamics of vibration machines with self-synchronizing inertion vibroexciters. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 4, рр. 70–75.

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ISSN (print) 2071-2227,
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