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RESEARCH ARTICLE
Advanced Science Letters
Vol. 4, 2782–2789, 2011
Analysis of Dynamic Characteristics for a
Dual-Disk Rotor System with Single Rub-Impact
Hui Ma
∗
, Xingyu Tai, Jian Sun, and Bangchun Wen
School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
This paper presents a finite element (FE) model of a dual-disk rotor system with single rub-impact fault and ana-
lyzes the effects of different rotating speeds on its dynamic characteristics. The numerical simulations based on
the FE model are conducted to study the rotor transverse vibrations of the rotor system. The results are further
compared to experimentally measured vibrations. The simulation results show that the motion of the rotor varies
from period-one through period-two to period-three with the increasing of the rotating speed; the corresponding
frequency components are from multiple frequency components through 1/2 fractional harmonic components to
1/3 fractional harmonic components; and rotor trajectory mainly shows inner concave phenomenon, two nested
ellipses and three nested ellipses along rub-impact direction, respectively. In corresponding experimental mea-
surements, combination frequency components including the first natural frequency can be observed besides
these features obtained by simulation. These results will provide theory bases for single rub-impact monitoring
and diagnosis.
Keywords: FE Model, Dual-Disk Rotor System, Dynamic Characteristic, Single Rub-Impact.
1. INTRODUCTION
Due to the increasing demand for high speed and high effi-
ciency, the clearance between rotors and stators in modern rotat-
ing machinery is becoming smaller and smaller. As a result, the
rub-impact, which refers to the contact between the rotating and
non-rotating structures in a machine, has become one of the most
common damaging malfunctions of rotating machinery.
1
Further
investigation on mechanism of the rub-impact phenomenon and
its dynamic characteristics is indispensable to the improvement
of the current fault diagnosis of rotor systems. Muszynska dis-
cussed chaotic response of unbalance rotor-bearing-stator sys-
tems with rubbing.
2
The results showed that at low rotational
speeds, the rotor’s response exhibits 1X vibration as the low-
est frequency component. At a speed roughly equal to twice the
rotor’s first lateral natural frequency, a 1X/2 sub-synchronous
vibration component appears, and continuous until the rotational
speed reaches 3 times the rotor’s first natural frequency. Then,
the 1X/2 is replaced by 1X/3 vibration as the lowest frequency
component. Muszynska also pointed out that there was evidence
of rotor chaotic responses at some speeds. Zhang presented a
rub-impact micro-rotor model with scaling nonlinear rub-impact
force and the nonlinear dynamic characteristics of micro-electro-
mechanical system (MEMS) were investigated when the rota-
tional speed, imbalance, damping coefficient, scale length, and
∗
Author to whom correspondence should be addressed.
fractal dimension were regarded as the control parameters.
3
Ehrich observed the higher order subharmonic vibrations as well
as chaotic vibration in a high speed turbomachine.
4
Chu dis-
cussed some typical periodic, quasi-periodic and chaotic motions
by using the chaos-bifurcation theory for a Jeffcott rotor system
with rub-impact.
5
Recently, many researchers studied rotor fault by using finite
element method which may take into account many factors, such
as mass, moment inertia, internal damping, bending and torsion
vibration coupling effects. Jing studied the nonlinear dynamic
behavior of a rotor-bearing system based on a continuum model
using the finite element method in his analysis.
6
By establishing
a FE model, Han investigated the periodic motions of a rotor sys-
tem with two disks where rub-impacts occur at fixed limiter for
a test rig with dual disks.
7
The simulations demonstrate differ-
ent rotor motions including periodic, quasi-periodic or complex
characteristics, which coincide with experimental measurements.
In another paper by Han, the stability of periodic motions of a
dual-disk rotor system, in which rub-impacts occur between a
disk and a fixed limiter, was investigated.
8
Nelson introduced the
rotor dynamical analysis with FE method firstly.
9
In the book
of LaLanne, the rotor dynamics were fully discussed with FE
models.
10
In a book, nonlinear modeling and responses were
explained in detail based on FE method for rotor-bearing-support
systems of turbine generator units.
11
2782 Adv. Sci. Lett. Vol. 4, No. 8/9/10, 2011 1936-6612/2011/4/2782/008 doi:10.1166/asl.2011.1446