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Abstract

This article establishes an optimal control model using piezoelectric actuators, proportional–derivative (PD) compensation, and gap sensors to control the vibration of rotor systems supported by tilting-pad gas bearings with active pads. The optimal control law between the voltage applied on the actuator and dynamic displacement of rotor is obtained by means of conventional optimal control theory. Using this active control model, the unbalance responses of rotor system are numerically controlled. Results show that the unbalance responses of system can be effectively suppressed by this optimal control system. This article provides a theoretical basis for further improving the stability of rotor systems supported by tilting-pad gas bearings.

Keywords

tilting-pad bearings piezoelectric actuator active control feedback control unbalance response

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References

Czolczynski

. How to obtain stiffness and damping coefficients of gas bearings. Wear, 1996, 201(1–2), 265–275.

Sim

Kim

. Design of flexure pivot tilting pads gas bearings for high-speed oil-free microturbomachinery. ASME J. Tribol, 2007, 129(1), 112–119.

Zhu

San Andres

. Rotordynamic performance of flexure pivot hydrostatic gas bearings for oil-free turbomachinery. ASME J. Eng. Gas Turb. Power, 2007, 127(4), 1020–1027.

Ausman

. Linearized ph stability theory for translatory half-speed whirl of long, self-acting gas-lubricated journal bearings. ASME J. Basic Eng, 1963(4), 611–619.

Heshmat

. Advancements in the performance of aerodynamic foil journal bearings: high speed and load capability. ASME J. Tribol, 1994, 116(2), 287–294.

Lee

Kim

Lee

Choi

. Dynamic characteristics of a flexible rotor system supported by a viscoelastic foil bearing VEFB. Tribol. Int, 2004, 37(2), 679–687.

Radil

Howard

Dykas

. The role of radial clearance on the performance of foil air bearings. Tribol. Trans, 2002, 45(4), 485–490.

Dellacorte

Valco

Load capacity estimation of foil air journal bearings for oil-free turbomachinery application. NASA/TM-2000-209782.

Yang

. Numerical analysis on dynamic coefficients of self-acting gas-lubricated tilting-pad journal bearings. ASME J. Tribol, 2008, 130(1), 011006-1-11.

10.

Yang

. Analysis on dynamic performance of hydrodynamic tilting-pad gas bearings using partial derivative method. ASME J. Tribol, 2009, 131(1), 011703-1-8.

11.

Bently

Muszynska

. Anti-swirl arrangements prevent rotor/seal instability. J. Vib. Acoust. Stress Reliab. Des, 1989, 111(2), 156–162.

12.

Ihara

. Gas expander for lower temperature. J. Turb. Mach, 1987, 15(11), 57–62.

13.

San Andres

. Hybrid flexure pivoted-tilting pad gas bearings: analysis and experimental validation. ASME J. Tribol, 2006, 128(3), 551–558.

14.

Delgado

San Andres

Justak

. Analysis of performance and rotordynamic force coefficients of brush seals with reverse rotation ability. ASME Paper No. GT2004-53614.

15.

Qiu

Tani

Kwon

. Control of self-excited vibration of a rotor system with active gas bearings. ASME J. Vib. Acoust, 2003, 125(3), 328–334.

16.

Nelson

. A finite rotating shaft element using Timoshenko beam theory. ASME J. Mech. Des, 1980, 102, 793–803.

17.

ElMadany

. Isotropic optimal controller for rotor-bearing systems. Proceedings of the 4th Mansoura International Engineering Conference, 20–22 April, paper no. 127.

Active control of unbalance response of rotor systems supported by tilting-pad gas bearings

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