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Wyszukujesz frazę "system of differential equation" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
A proposition of a torsional-bending vibrations modelling of combustion engines
Autorzy:
Dąbrowski, Z.
Chiliński, B.
Pankiewicz, J.
Powiązania:
https://bibliotekanauki.pl/articles/244766.pdf
Data publikacji:
2016
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
rotational system
system of differential equation
crankshaft system
numerical solutions
Opis:
The article presents the problem of modelling coupled bending-torsional vibrations in crank systems. Because during the design of modern drive systems a growing number of phenomena are taken into account, model description of such vibrations has a practical meaning. Commonly used models of dynamics of systems assume the independence of torsional and bending vibrations, which leads to simultaneous analysis of transverse and angular vibrations. Further analysis is carried out with the use of superposition principle. Such an approach is justified in the case of quite rigid drive shafts, where vibrations are relatively small. Current trends in the design of reducing weight, reduction of toxic emissions and reducing fuel consumption, lead to the situation where shafts in crank systems become less stiff. Therefore, phenomena neglected earlier may have significant meaning. Analysis of couplings of transverse and torsional vibrations is so important that the occurrence of these phenomena usually leads to new critical states, which may be especially dangerous for engine operation. Considerations on the reasons of the occurrence and kinds of vibration couplings were presented in the introduction of the article. Further part of the article proposes the linear-bending model of the crankshaft, where transverse and angular displacements are dependent. It was tantamount to the assumption of linear relation between the vector of generalized co-ordinates and generalized forces occurring in the system. The next chapter presents the system of equations describing the dynamics of the crankshaft together with a discussion of the co-ordinate system used in the considerations. In addition, there were presented the results of numerical simulations in frequency domain confirming the conclusions taken from the analysis. The whole paper is concluded with synthetic conclusions on the formulated system of equations, simulations and the influence of the coupling on the dynamics of the whole crank system.
Źródło:
Journal of KONES; 2016, 23, 4; 71-77
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The analysis of the influence of a torsional vibration damper on transversal displacement of a crankshaft
Autorzy:
Chiliński, B.
Dziurdź, J.
Zawisza, M.
Powiązania:
https://bibliotekanauki.pl/articles/949500.pdf
Data publikacji:
2016
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
crankshaft system
torsional vibrations damper system of differential equation
numerical simulations
Opis:
The article presents a consideration of the influence of a damper of torsional vibrations (TVD) on transverse dynamics of the crankshaft. Dampers of this type work based on the dynamic eliminator of vibrations. The systems of this type in modern combustion engines are more often used to reduce torsional vibrations. It is strictly connected with the increase of fatigue life of the crankshaft in case when its amplitude of vibrations has a crucial meaning. Computation models used to choose a damper assume that transverse and torsional vibrations occurring in a crank system are not coupled. Modern trends in machine design make the new devices lighter and less rigid. Therefore, the couplings between small vibrations may be more important. Therefore, the effects observed in angular vibrations can be transmitted to transverse vibrations. In this context, the impact of dampers TVD on transverse dynamics is particularly interesting. In the introduction, the article discusses the basic types of torsional vibration dampers and the method of selection of this type of systems. The next part of the article presents the model of a combustion engine with a dynamic eliminator of vibrations, which includes bending-torsional vibrations occurring in the system. For this purpose, the linear relation of the vector of generalized co-ordinates and generalized forces in the system was assumed. The next part shows numerical simulations, which were carried out in the paper. The paper presents obtained results with their further analysis in frequency domain. The whole paper is summarized with synthetic conclusions on the simulations, the impact of applied eliminator on the dynamics of the entire crank system, in particular transverse vibrations. In addition, there was indicated a possibility of using presented results in research and diagnostics used in automotive industry of torsional vibration dampers.
Źródło:
Journal of KONES; 2016, 23, 4; 33-39
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Coupled lateral-torsional vibrations of a symmetric rotor
Autorzy:
Chiliński, B.
Pakowski, R.
Stanik, Z.
Powiązania:
https://bibliotekanauki.pl/articles/245654.pdf
Data publikacji:
2016
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
rotational system
nonlinear differential system of equation
perturbation method
critical states
analytical solutions
Opis:
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.
Źródło:
Journal of KONES; 2016, 23, 4; 41-47
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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