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Dynamics Analysis of Flexible Rotor Supported by Floating Ring Bearings

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Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 21))

Abstract

The asymmetric flexible rotor turbocharger supported by floating ring bearings is studied. We use the model of flexible asymmetric rotor and the nonlinear bearing forces have been calculated by using the numerical solution of the Reynolds equation for both fluid films. It is shown that at this rotor speed range the rotor performs direct nonsynchronous regular precession, which corresponds to the conical shape of the rotor motion. The rotor speed at which the shape of the rotor precession abruptly changes from conical to cylindrical has been revealed. It is established that the cylindrical shape of the precession corresponds to the unacceptable increase of bearing loads. Thus, the maximum rotational speed above which the turbocharger rotor under study shuts has been found. The implications can be applied to the turbocharger rotors supported by two bearings with floating ring bearings and console location of the compressor and turbine wheels.

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Abbreviations

x, y, z :

Cartesian axes, where displacement and rotation angles of discrete model elements are determined;

i, j = 1, 2:

Indexes corresponding to compressor discs (1) and turbine (2);

k = 1, 2:

Indexes corresponding to rotor supports;

m i , m Jk , m Bk :

Lumped masses of discs, journals and floating bushes;

J xi , J yi , J zi :

Mass moments of inertia of discs about an x, y, z axes;

J zBk :

Mass moments of inertia of bushes about an z axis (J xBk  = J yBk  = 0);

x i , y i , x Jk, y Jk, x Jk, y Bk :

Absolute displacements of geometric centers of the discs, journals and bushes along x and y axes;

θ xi , θ yi :

Absolute angles of rotation of the discs about an x and y axes;

x * i , y * i :

Displacements of rotor i-section as an absolutely rigid body;

θ * xi , θ * yi :

Rotation angles of rotor i-section as an absolutely rigid body about an x and y axes;

\(\hat{x}_{i}\), \(\hat{y}_{i}\) :

Displacements of rotor i-section determined with its bending;

\(\hat{\theta }_{xi}\), \(\hat{\theta }_{yi}\) :

Rotation angles of rotor i-section about an axes x and y determined with its bending;

e Di , e Jk :

Eccentricities of unbalanced discs and journals of the rotor;

α Di , α Jk :

Phase angles of unbalanced discs and journals counted from Ñ… axis counterclockwise;

ω :

Angular frequency of rotor around z axis;

ω 2k :

Angular frequency of bushes around their mechanical centers;

φ k :

Rotation angles of bushes around their mechanical centers;

α ij , β ij , γ ij , δ ij :

Static coefficients of influence of the rotor in zx plane;

\(\alpha_{ij}^{zy}\), \(\beta_{ij}^{zy}\), \(\gamma_{ij}^{zy}\), \(\delta_{ij}^{zy}\) :

Static coefficients influence of the rotor in zy plane;

F xj , M yj , F yj , M xj :

Forces and moments acting on the rotor from the discs;

F exj , F eyj , F exJk , F eyJk :

Inertial forces of unbalanced discs and journals;

F exBk , F eyBk  = 0 :

Inertial forces of floating bushes;

R (1) xk , R (1) yk :

Reactions acting on the k-journal and k-bush from the inner lubrication layer;

R (2) xk , R yk (2) :

Reactions acting on the k-bush and the k-bearing housing from the side of the outer lubrication layer, T (2) 2k —frictional torques acting on the bush from the sides of outer and inner lubrication layers;

a, b :

Axial coordinates of the first and the second bearings;

l i :

Axial coordinates of discs, l 1  = 0;

t :

Time;

g :

Acceleration of gravity.

References

  1. Li C-H (1981) Dynamic of rotor bearing system supported by floating ring bearings. In: ASME, presented at the ASLE/ASME lubrication conference, New Orleans, 5–7 Oct 1981, Paper 81-LUB-37

    Google Scholar 

  2. Boyaci A (2009) Analytical bifurcation analysis of a rotor supported by floating ring bearings. In: Boyaci A, Hetzler H, Seemann W, Proppe C, Wauer J (eds) Nonlinear Dyn 57(4):497–507

    Google Scholar 

  3. Schweizer B (2009) Dynamics and stability of turbocharger rotors. In: Schweizer B (ed) Arch Appl Mech 79(4):287–299

    Google Scholar 

  4. Schweizer B (2009) Nonlinear oscillations of automotive turbocharger turbines. In: Schweizer B, Sievert M (eds) J Sound Vib 321(3–5):955–975

    Google Scholar 

  5. San Andres L (2007) Rotordynamics of small turbochargers supported on floating ring bearings—highlights in bearing analysis and experimental validation. In: Holt C, San Andres L, Gjika K, Groves C, LaRue G (eds) J Tribol 129:391–397

    Google Scholar 

  6. Goenka PK (1984) Analytical curve fits for solution parameters of dynamically loaded journal bearings. J Tribol Trans ASME 106(4):421–428

    Article  Google Scholar 

  7. Zadorojnaya EA (2002) Improving and expanding the scope of the method of calculation of dynamics and hydromechanical characteristics sleeve bearings with floating rings bearings. Ph.D. dssertation, South Ural State University, Russia, Chelyabinsk, p 170

    Google Scholar 

  8. Rozhdestvenskiy Y (2010) Dynamics Analysis Of Rotor With Floating Rings Package Bearing. Rozhdestvenskiy Y, Boyarshinova A, Zadorozhnaya E, Fisher A, Taranenko P, Cherneyko S (eds) In: The 8th international conference of rotordynamic 2010. Seoul, Korea, pp 767–776

    Google Scholar 

  9. Zadorojnaya E (2006) The results of calculating the dynamics of turbocharger rotor TKR -8,5C. In: Zadorojnaya E, Hozenyuk N, Taranenko P (eds) J South Ural State Univ Ser Mech Eng 8, 11(66):69–77

    Google Scholar 

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Acknowledgments

The work was conducted with the Russian Fundamental Research Fund (grant No.13-08-00875 A).

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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    Pavel Taranenko, Oleg Sliva & Elena Zadorozhnaya

Authors
  1. Pavel Taranenko
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  2. Oleg Sliva
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  3. Elena Zadorozhnaya
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Corresponding author

Correspondence to Pavel Taranenko .

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Editors and Affiliations

  1. Mechanical Engineering, Politecnico di Milano, Milano, Italy

    Paolo Pennacchi

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Taranenko, P., Sliva, O., Zadorozhnaya, E. (2015). Dynamics Analysis of Flexible Rotor Supported by Floating Ring Bearings. In: Pennacchi, P. (eds) Proceedings of the 9th IFToMM International Conference on Rotor Dynamics. Mechanisms and Machine Science, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-06590-8_90

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  • DOI: https://doi.org/10.1007/978-3-319-06590-8_90

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06589-2

  • Online ISBN: 978-3-319-06590-8

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