Nonlinear Mathematical Model of the Rotor Motion in a Thin Hydrodynamic Gap
The article presents two mathematical models of the
interaction between a rotating shaft and an incompressible fluid. The
mathematical model includes both the journal bearings and the
axially traversed hydrodynamic sealing gaps of hydraulic machines.
A method is shown for the identification of additional effects of the
fluid acting on the rotor of the machine, both for a linear and a nonlinear
model. The interaction is expressed by matrices of mass,
stiffness and damping.
[1] A. Zagoruĺko, K. Gerasimiva, and E. Altuncev,
“Čislennyjanalizščelevychuplotněnnij”, 12th International Scientific and
Engineering conference (HERVICON 2008), Kielce-Przemysl, 9-
12.September 2008. pp. 105-113, ISSN 1897-2683.
[2] T. Staubi, and M. Bissing, “Numerically calculated rotor dynamic
coefficients of a pump rotor side space”, Int. Symp. On Stability Control
of Rotating Machinery (ISCORMA), South Lake Tahoe, August 2001.
[3] M. Athavale, and R. C. Hendricks, “A small perturbation CFD method
for calculation of seal rotordynamics coefficients”, International Journal
of Machinery, 1996, Vol. 2, No. 3., pp. 167-177.
[4] Y. Kanemori, and T. Iwatsobo, “Experimental Study of Dynamics Fluid
Forces and Moments for a Long Annular seals”, ASME Journal of
Tribology, 1992, T.114, Oct., pp. 773-778.
[5] F. Pochylý, and J. Krutil, “Hydrodynamic effects of the sealing gap”,
Research Report number VUT-EU QR-33-13, Brno university of
technology, 2013.
[6] J. Krutil, F. Pochylý, and S. Fialová,“Matrices of additional effects of
the hydrophilic sealing gap of the hydrodynamic machine”,
Riadenietekutinovýchsystémov XIV. International scientific and
technical conference – Trečianske Teplice, SK, 2014.pp. 88-91,ISSN
978-80-970897-8-8
[7] F. Pochylý, S. Fialová, M. Kozubková, and M. Bojko, “Tensors of added
damping, stiffness and mass in a thin gap of hydrodynamic machine”
IOP Conference Series: Earth and Environmental Science. 2012. pp. 8.
ISSN\~1755-1315.
[8] F. Pochylý, S. Fialová, and E. Malenovský, “Bearing with magnetic
fluid and hydrophobic surface of the lining” IOP Conference Series:
Earth and Environmental Science. 2012. pp. 10. ISSN\~1755-1315.
[9] F. Pochylý, S. Fialová, and M. Kozubková, “Journal bearings with
hydrophobic surface” XIIIth International Scientific and Engineering
Conference "Hermetic Sealing, Vibration Reliability and Ecological
Safety of Pump and Compressor Machinery" (HERVICON 2011), Sumy-
Ukraine 2012. pp. 314-320. ISBN 978-966-657-383-7.
[1] A. Zagoruĺko, K. Gerasimiva, and E. Altuncev,
“Čislennyjanalizščelevychuplotněnnij”, 12th International Scientific and
Engineering conference (HERVICON 2008), Kielce-Przemysl, 9-
12.September 2008. pp. 105-113, ISSN 1897-2683.
[2] T. Staubi, and M. Bissing, “Numerically calculated rotor dynamic
coefficients of a pump rotor side space”, Int. Symp. On Stability Control
of Rotating Machinery (ISCORMA), South Lake Tahoe, August 2001.
[3] M. Athavale, and R. C. Hendricks, “A small perturbation CFD method
for calculation of seal rotordynamics coefficients”, International Journal
of Machinery, 1996, Vol. 2, No. 3., pp. 167-177.
[4] Y. Kanemori, and T. Iwatsobo, “Experimental Study of Dynamics Fluid
Forces and Moments for a Long Annular seals”, ASME Journal of
Tribology, 1992, T.114, Oct., pp. 773-778.
[5] F. Pochylý, and J. Krutil, “Hydrodynamic effects of the sealing gap”,
Research Report number VUT-EU QR-33-13, Brno university of
technology, 2013.
[6] J. Krutil, F. Pochylý, and S. Fialová,“Matrices of additional effects of
the hydrophilic sealing gap of the hydrodynamic machine”,
Riadenietekutinovýchsystémov XIV. International scientific and
technical conference – Trečianske Teplice, SK, 2014.pp. 88-91,ISSN
978-80-970897-8-8
[7] F. Pochylý, S. Fialová, M. Kozubková, and M. Bojko, “Tensors of added
damping, stiffness and mass in a thin gap of hydrodynamic machine”
IOP Conference Series: Earth and Environmental Science. 2012. pp. 8.
ISSN\~1755-1315.
[8] F. Pochylý, S. Fialová, and E. Malenovský, “Bearing with magnetic
fluid and hydrophobic surface of the lining” IOP Conference Series:
Earth and Environmental Science. 2012. pp. 10. ISSN\~1755-1315.
[9] F. Pochylý, S. Fialová, and M. Kozubková, “Journal bearings with
hydrophobic surface” XIIIth International Scientific and Engineering
Conference "Hermetic Sealing, Vibration Reliability and Ecological
Safety of Pump and Compressor Machinery" (HERVICON 2011), Sumy-
Ukraine 2012. pp. 314-320. ISBN 978-966-657-383-7.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:69930", author = "Jaroslav Krutil and František Pochylý and Simona Fialová", title = "Nonlinear Mathematical Model of the Rotor Motion in a Thin Hydrodynamic Gap", abstract = "The article presents two mathematical models of the
interaction between a rotating shaft and an incompressible fluid. The
mathematical model includes both the journal bearings and the
axially traversed hydrodynamic sealing gaps of hydraulic machines.
A method is shown for the identification of additional effects of the
fluid acting on the rotor of the machine, both for a linear and a nonlinear
model. The interaction is expressed by matrices of mass,
stiffness and damping.", keywords = "CFD modeling, hydrodynamic gap, matrices of
mass, stiffness and damping, nonlinear mathematical model.", volume = "9", number = "5", pages = "281-4", }
