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EN
Rotors of rotating machines are often mounted in hydrodynamic bearings. Loading alternating between the idling and full load magnitudes leads to the rotor journal eccentricity variation in the bearing gap. To avoid taking undesirable operating regimes, its magnitude must be kept in a certain interval. This is offered by the hydrodynamic bearings lubricated with smart oils, the viscosity of which can be changed by the action of a magnetic field. A new design of a hydrodynamic bearing lubricated with magnetically sensitive composite fluid is presented in this paper. Generated in the electric coil, the magnetic flux passes through the bearing housing and the lubricant layer and then returns to the coil core. The action of the magnetic field on the lubricant affects the apparent fluid viscosity and thus the position of the rotor journal in the bearing gap. The developed mathematical model of the bearing is based on applying the Reynolds equation adapted for the case of lubricants exhibiting the yielding shear stress. The results of the performed simulations confirmed that the change of magnetic induction makes it possible to change the bearing load capacity and thus to keep the rotor journal eccentricity in the required range. The extent of control has its limitations. A high increase in the loading capacity can arrive at the rotor forced vibration’s loss of stability and induce large amplitude oscillation.
EN
The paper is concerned with transverse dynamics of a rigid rotor supported in a semi-active slide bearing lubricated with a magnetic fluid. Attention is focused on modeling and simulation of forced vibrations of an asymmetric rotor supported in a rolling bearing at one end and in a slide bearing, on the other one. The slide bearing is treated as a nonlinear flexible support with visco-elastic properties controlled by an external magnetic field via a ferrofluid used as a bearing lubricant. The considered dynamical system is a discrete model of real rotor of Rotor Kit RK-4 by Bentley Nevada, a laboratory device being used for educational and research purposes. The aim of the study is to find how a magnetically induced modification of the magnetic fluid affects the resonant behavior of the rotor under harmonic kinematic excitation by the rotor housing movement. Computer simulations are used to obtain resonant curves of nonlinear relative rotor/housing vibrations. The effects of magnetically controlled viscosity of the lubricant fluid are presented as changes of shape and maximum values of the resonant curves as well as a shift of the resonance zone in the excitation frequency domain.
EN
The paper is concerned with a dynamic analysis of a rigid rotor supported in hydrodynamic bearings with rheological properties of the lubricant controlled by an external magnetic field. A fluid viscosity is an adaptive parameter, which controlled by the applied magnetic field, actively influence the dynamics of the rotor. Such an active lubricant can be identified with a magnetic fluid. Magnetic fluid as a suspension of sufficiently small ferro-particles can be treated as a homogenous substance, and used as a lubricating medium (Berkovsky et al., 1993, Miszczak and Wierzcholski). Due to magnetic interactions, it shows a non-Newtonian behaviour, which, with an appropriate synthesis of liquid, can be described by the Bingham model. In the following two effects of a magnetic fluid as a bearing lubricant are applied - increase of viscosity with the magnetic field and drop with the angular speed of the rotor. Both can be used to modify rotor dynamics to supply faster uplift to contactless rotation and desired resonant properties. Numerical simulations of nonlinear equations of the rotor transverse vibrations excited by unbalance forces show considerable influence of the magnetically controlled viscosity on the magnitude and position of the resonant zone. Magnetic field and shear rate- dependent effective lubricant viscosity influence the critical rotation speed of the rotor.
PL
W pracy przedstawiono wyniki analizy ruchu wirnika w sytuacji, gdy promieniowe ustalenie łożyska w obudowie nie jest prawidłowe. Wyznaczoną doświadczalnie trajektorię przemieszczenia czopa wału filtrowano metodą EMD, natomiast charakter drgań określono przy wykorzystaniu transformacji Hilberta-Huanga. Zbadano również efektywność wyważania wirnika na podstawie zmodyfikowanej metody współczynników wpływu, optymalizującej amplitudy drgań łożysk przy występowaniu anizotropowości zewnętrznej układu.
EN
The occurrence of the clearance between the outer bearing ring and casing is usually the result of progressing wear and tear of components or improper assembling that takes place very often at industrial conditions. The work presents the results of the rotor motion analysis when radial setting of the bearing in the casing is improper. The shaft journal displacement trajectory determined experimentally was filtered by the EMD method (empirical mode decomposition), whereas the vibration nature was determined using the Hilbert-Hunag's transformation. The rotor balancing efficiency was examined also based on the modified impact factor method, optimising the amplitudes of bearing vibrations at the presence of external system anisotropy.
EN
Various ways of solving problems of oil film hydrodynamics with local inertia forces are investigated. Compact formulae for hydrodynamical reaction are received. On the base of these formulae several problems concerning synchronous precession and rotor stability are considered.
6
Content available remote Auto-Balancing of Rotors with a Rigid Bearing
EN
The paper presents a study of automatic balancing of rotors with a fixed point, for example rotors with a rigid bearing. In such rotor systems permitting only tilting oscillations, similarly to the case of the Laval rotor, the full compensation of unbalance is possible by balancing in only one plane. We consider a rotor equipped with an auto-balancing device consisting of a circular track with two moving balls. The investigations include derivation and analysis of existence and stability conditions for synchronous motions, an analysis of non-synchronous biharmonic motions near the critical speed, and a discussion on the influence of the gyroscopic terms, particularly a new type of Sommerfeld effect. The results are confirmed and complemented by computer simulations.
EN
In the paper the possibility of damping of resonant vibration of a rigid rotor supported on pericycloidal journal bearings with the multiplication factor Kn=3 (three-lobe bearings) is discussed. The effect of application of 2 and 3 pairs of magnetic actuators on limitting resonance amplitudes is examined. As the excitation motion of the fundament (kinematic excitation) is assumed. Exemplary diagrams showing resonant displacements of the rotor and concluding remarks are included in the paper.
EN
The paper is concerned with the problem of damping of resonant vibration in a rigid rotor system supported on journal bearings. The equations of motion of a such system are derived. Kinematic excitation is under investigation. Appropriate diagrams of amplitude and frequency in dependence of the system parameters as well as results and concluding remarks has been included.
9
Content available remote Two-Plane Automatic Balancing
EN
A theory of two-plane automatic balancing of rigid rotors is presented. For a rotor with two pairs of compensation balls or rollers the stability of compensation phasing is analysed by employing the method of direct separation of motion. The results are confirmed by computer simulation based on the complete equations of motion linearised in the vibrational co-ordinates.
EN
In the paper possibility of active stabilization of a rigid rotor supported on journal-bearings is presented. Electromagnetic actuators are applied in the method. The system is subjected to kinematic excitation and analysed with respect to different voltages, bearing gaps, rotor masses, and excitation frequencies. Appropriate resonant diagrams are presented.
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