Coupled lateral-torsional vibrations of a symmetric rotor

• Autorzy: Chiliński B. , Pakowski R. , Stanik Z.

Identyfikatory

DOI

10.5604/12314005.1217187

• Języki publikacji: EN

Abstrakty

EN

The paper presents a cross-sectional analysis of dynamics of rotating systems with different characteristics, starting from the search for solutions in an analytical way, and ending with the numerical attempt to verify the results. There is presented a problem of bending and torsional vibrations in rotational systems, using possibly the simplest model of the phenomenon. It is a heavy disk embedded on the deformable massless shaft. The rotor is symmetric and it is assumed that stiffness can be nonlinear. The analysis of vibrations occurring in rotors is made with the use of this model. This is followed by a preliminary discussion on the problem and the conclusions of the pilot studies. There are presented basic problems related to the phenomenon of lateral-torsional coupling in rotational systems with an emphasis on critical states. Formulation of the problem is the conclusion of preliminary part of the paper. Next, there are discussed the selected methods currently used to solve such problems, together with a discussion of their application in this case. In addition, there is discussed a problem of numerical or analytical character of obtained results and the range of using methods in modelling, designing and experimental studies. The next part of the paper focuses on the solution of the model presented in the introduction, using the following analytical or numerical methods: Krylov-Bogolubov, Adams and Runge-Kutta methods. There are presented assumptions, simplifications of the model, technical details of searching for solutions and the results together with a discussion of their correctness. The results, which were obtained from analysis, are polyharmonic. Due to this fact, the spectra of each solution were presented. These aspects are discussed in the context of the solving methods and motion analysis for rotor systems. The whole paper is summarized with a discussion of the results and their confrontation with reality.

Słowa kluczowe

EN

rotational system; nonlinear differential system of equation; perturbation method; critical states; analytical solutions

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2016
• Tom: Vol. 23, No. 4
• Strony: 41--47
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Chiliński B.

• Warsaw University of Technology Department of Fundamentals of Machine Design and Operation Narbutta Street 84, 02-524 Warsaw, Poland tel.: [phone], fax: [phone]

autor

Pakowski R.

• Warsaw University of Technology Department of Fundamentals of Machine Design and Operation Narbutta Street 84, 02-524 Warsaw, Poland tel.: [phone], fax: [phone]

autor

Stanik Z.

• Silesian University of Technology Faculty of Transport Krasińskiego Street 8, 40-019 Katowice, Poland tel.: [phone], fax: [phone]

Bibliografia

• [1] Batko, W., Dabrowski, Z., Kiciński, J., Nonlinear Effects in Technical Diagnostics, Radom ITE-PIB, 2008.
• [2] Burdzik, R., Monitoring system of vibration propagation in vehicles and method of analyzing vibration modes, in: J. Mikulski (Ed.), Telematics in the Transport Environment, CCIS 329,pp. 406-413, Springer, Heidelberg, 2012.
• [3] Charles, P., Sinha, J., K., Gu, F., Lidstone, L., Ball, A., D., Detecting the crankshaft torsional vibration of diesel engines for combustion related diagnosis, Journal of Sound and Vibration Vol. 321, pp. 1171-1185, 2009.
• [4] Chiliński, B., Analysis of disturbance torque influence on critical state in rotational systems, Transportation Problems, Vol. 8, Is. 4, pp. 137-146, 2013.
• [5] Chiliński, B., Pakowski, R., Analysis of bending and torsinal vibroations of rotors with using perturbation methods, in: Kleiber M., et al., (ed.), 3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics – PCM-CMM, Polish Society of Theoretical and Applied Mechanics, Short papers, Vol. 1, 2, pp. 15-17, 2015.
• [6] Chiliński, B., Zawisza, M., Modelling of lateral-torsional vibrations of the crank system with a damper of vibrations, Vibroengineering Procedia, Vol. 6 (6), pp. 61-65, 2015.
• [7] Dąbrowski, Z., Chiliński, B., Identification of a model of crank shaft with a damper of torsional vibrations, Vibroengineering Procedia, Vol. 6 (6), pp. 50-54, 2015.
• [8] Desbazeille, M., Randall, R.,B., Guillet, F., El Badaoui, M., Hoisnard, C., Model-based diagnosis of large diesel engines based on angular speed variations of the crankshaft, Mechanical Systems and Signal Processing, Vol. 24, pp. 1529-1541, 2010.
• [9] Deuszkiewicz, P., Pankiewicz, J., Dziurdź, J. Zawisza, M., Modeling of powertrain system dynamic behavior with torsional vibration damper, Advanced Materials Research, Vol. 1036, pp. 586-591, 2014.
• [10] Homik, W., Pankiewicz, J., Examinations of torsional vibration dampers used in recipro-cating internal combustion engines, Polish Journal of Environmental Studies, Vol. 20, No. 5A, pp. 108-111, Olsztyn 2011.
• [11] Klekot, G., Application of vibro-acoustic energy propagation measures to monitor status of the object and as a tool in the manage of noise, ITE, Radom2012.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.