Nonlinear analysis of the stability of hydrodynamic bearings

• Autorzy: Amamou A. , Chouchane M. , Naimi S.
• Języki publikacji: EN

Abstrakty

EN

The linear analysis of the stability of a hydrodynamic bearing is used to determine the stability boundaries and to predict if the steady state is stable or not. A nonlinear or weakly nonlinear model is used to determine the behaviour of the system near the critical stability boundaries. By applying the Hopf bifurcation theory, the existence of stable or unstable limit cycles in the neighbourhood of the stability boundaries can be predicted depending on the characteristics of the bearing.A numerical integration of the nonlinear equations of motion is then carried out in order to verify the results obtained analytically.

Słowa kluczowe

EN

hydrodynamic bearing; stability analysis; nonlinear analysis; Hopf bifurcation; limit cycles

PL

łożysko hydrodynamiczne; analiza nieliniowa; bifurkacja Hopfa

• Wydawca: Polskie Towarzystwo Diagnostyki Technicznej
• Czasopismo: Diagnostyka
• Rocznik: 2009
• Tom: nr 4(52)
• Strony: 3--10
• Opis fizyczny: Bibliogr. 7 poz., rys., tab.

Twórcy

autor

Amamou A.

autor

Chouchane M.

autor

Naimi S.

• Laboratory of Mechanical Engineering, National Engineering School of Monastir, Tunisia, Avenue Ibn Eljazzar, 5019 Monastir, Tunisia,

Bibliografia

• [1] Dokhane A.: BWR stability and bifurcation analysis using a novel reduced order model and the system code RAMONA. Ph.D thesis, polytechnic Federal school of Lausanne, 2004.
• [2] Hassard, B. D., Kazarinoff, N. D., Wan, Y. H.: Theory and Applications of Hopf Bifurcation. London Mathematical Society Lecture Notes 41, Cambridge University Press, New York, 1981.
• [3] Hollis P., Taylor D. L.: Hopf bifurcation to limit cycles in fluid film bearings. ASME J Tribol, 1986, Vol. 108, pp. 184-9.
• [4] Myers C. J.: Bifurcation theory applied to oil whirl in plain cylindrical journal bearings. ASME J Tribol, 1984, Vol. 5, pp. 244-9.
• [5] Stolarski A.: Tribology in Machine Design. Butterworth-Heinemann, 2000.
• [6] Wang J. K.: On the stability of rotor bearing systems based on Hopf bifurcation. Ph.D thesis, Faculty of the Louisiana State University, 2005.
• [7] Wang J. K., Khonsari M .M.: Application of Hopf bifurcation theory to rotor-bearing systems with consideration of turbulent effects. ASME J Tribol, 2006, Vol. 39, pp. 701-14.