Analysis of the Frictional Vibration of a Cleaning Blade in Laser Printers Based on a Two-Degree-Of-Freedom Model

2011 ◽  
Vol 7 (1) ◽  
Author(s):  
Go Kono ◽  
Yoshinori Inagaki ◽  
Hiroshi Yabuno ◽  
Tsuyoshi Nohara ◽  
Minoru Kasama
Keyword(s):  
Frictional Coefficient ◽  
The Self ◽  
Laser Printer ◽  
Hamiltonian Hopf Bifurcation ◽  
Excited Vibration ◽  
Negative Damping ◽  
Link Model ◽  
Unstable Vibration ◽  
Two Degree Of Freedom ◽  
Frictional Vibration

This research aims to analyze the dynamics of the self-excited vibration of a cleaning blade in a laser printer. First, it is experimentally indicated that that the self-excited vibration is not caused by the negative damping effect based on friction. Next, the excitation mechanism and dynamics of the vibration are theoretically clarified using an essential 2DOF link model, with emphasis placed on the contact between the blade and the photoreceptor. By solving the equations governing the motion of the analytical model, five patterns of static equilibrium states are obtained, and the effect of friction on the static states is discussed. It is shown that one of five patterns corresponds to the shape of the practical cleaning blade, and it is clarified through linear stability analysis that this state becomes dynamically unstable, due to both effects of friction and mode coupling. Furthermore, the amplitude of the vibration in the unstable region is determined through nonlinear analysis. The obtained results show that this unstable vibration is a bifurcation classified as a supercritical Hamiltonian-Hopf bifurcation, and confirms the occurrence of mode-coupled self-excited vibration on a cleaning blade when a constant frictional coefficient is assumed.

Dynamics of a Cleaning Blade Based on a 2DOF Link Model

2009 ◽  
Author(s):  
Yoshinori Inagaki ◽  
Tsuyoshi Nohara ◽  
Go Kono ◽  
Minoru Kasama ◽  
Masatsugu Yoshizawa
Keyword(s):  
Amplitude Equation ◽  
Laser Printer ◽  
Small Disturbance ◽  
Governing Equations ◽  
Supercritical Bifurcation ◽  
Narrow Region ◽  
Hamiltonian Hopf Bifurcation ◽  
Excited Vibration ◽  
Link Model ◽  
Unstable Vibration

To analyze the dynamics of a cleaning blade in a laser printer, observation of the vibration of the cleaning blade and analysis of a 2DOF model have been carried out. First, from the observation of the vibration of the actual cleaning blade, the stationary self-excited vibration has been confirmed. Next, a 2DOF model has been presented and its governing equations have been derived. The bottom of the model is assumed to always contact a floor surface, and the friction coefficient is constant and not dependent on the floor velocity. Third, by solving the equations governing the motion of the 2DOF model, five patterns of static equilibrium states have been obtained. Moreover it has been clarified from linear stability analysis that one of five patterns corresponds to the shape of the cleaning blade and is unstable for a small disturbance in a narrow region. This unstable vibration is a bifurcation classified as Hamiltonian-Hopf bifurcation. Fourth, by keeping up to the 3rd order terms, the nonlinear complex amplitude equation has been obtained, and the steady amplitude can be decided. As a result, the steady amplitude has been determined as the products of the 2nd order terms. Furthermore it has been clarified that such a self-excited vibration is classified as the supercritical bifurcation.

Improved Analysis of Unstable Bouncing Vibration and Stabilizing Design of Flying Slider in Near-Contact Regime

2005 ◽  
Author(s):  
Kyosuke Ono ◽  
Masami Yamane
Keyword(s):  
Parametric Study ◽  
Adhesion Force ◽  
Design Method ◽  
Contact Stiffness ◽  
Frictional Coefficient ◽  
Disk Surface ◽  
The Self ◽  
Air Bearing ◽  
Excited Vibration ◽  
Bearing Stiffness

We proposed a design method of a flying head slider that can suppress the bouncing vibration in a near-contact regime, based on parametric study using an improved slider and contact models. At first, we numerically calculated the characteristics of contact force and adhesive force between air bearing pad and disk surface under the current small roughness conditions and found that the contact characteristics can be modeled by constant contact stiffness, a constant adhesion force and the separations of beginning and end of contact. Next we numerically computed the slider dynamics of a 2-DOF slider model by using these contact characteristics and nonlinear air-bearing stiffness. As a result, we could get the self-excited bouncing vibration whose general characteristics are more similar to the experimented results compared to our previous study. Parametric study shows that the frictional coefficient, attractive force and contact stiffness should be decreased and front and rear air-bearing stiffness and ratio of rear to front air-bearing stiffness should be increased in order to realize a stable flying slider in a smallest possible spacing. Moreover, we elucidated the effect of micro-waviness on the self-excited vibration of the slider.

Self-Excited Vibration of a Rotating Hollow Shaft Partially Filled with Liquid

1980 ◽  
Vol 102 (1) ◽  
pp. 185-192 ◽  
Author(s):  
S. Saito ◽  
T. Someya
Keyword(s):  
Viscous Liquid ◽  
Rotor System ◽  
The Self ◽  
Hollow Shaft ◽  
Excited Vibration ◽  
Negative Damping ◽  
The Stability

The self-excited vibration of a rotating hollow shaft partially filled with viscous liquid is investigated. The motion of liquid and the liquid force is analyzed. The stability of the rotor system is calculated and the influences of factors on the stability are studied. Moreover, the mechanism causing the negative damping which is the reason for the instability is discussed.

The Investigation of the Influence of Structure Parameters on the Friction-Induced Self-Excited Vibration

2011 ◽  
Vol 66-68 ◽  
pp. 933-936
Author(s):  
Xian Jie Meng
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Method ◽  
Calculation Result ◽  
Dry Friction ◽  
Vibration Amplitude ◽  
The Self ◽  
Structure Parameters ◽  
Dynamics Model ◽  
Excited Vibration ◽  
Nonlinear Dynamics Model

A one degree of freedom nonlinear dynamics model of self-excited vibration induced by dry-friction was built firstly, the numerical method was taken to study the impacts of structure parameters on self-excited vibration. The calculation result shows that the variation of stiffness can change the vibration amplitude and frequency of the self-excited vibration, but can not eliminate it, Along with the increase of system damping the self-excite vibration has the weakened trend and there a ritical damping, when damping is greater than it the self-excite vibration will be disappeared.

scholarly journals Self-excited Vibration of Ink Rollers

ACC Journal ◽  
2021 ◽  
Vol 27 (1) ◽  
pp. 29-36
Author(s):  
Martin Pustka ◽  
Pavel Šidlof
Keyword(s):  
Noise Level ◽  
Machine Tools ◽  
Operating Conditions ◽  
Simple Analytical Model ◽  
Offset Printing ◽  
External Energy ◽  
Viscous Forces ◽  
Excited Vibration ◽  
Negative Damping ◽  
Intermittent Motion

A vibration having a character of self-excited chatter oscillation known from machine tools is observed during intermittent motion of ink rollers of offset printing machines. This vibration occurs under specific operating conditions and is often accompanied by an increased noise level. To explain this unusual vibration behavior, a simple analytical model of two rollers interaction is derived. The calculated oscillation is compared with the measurement of ductor roller displacement. The model results confirm the possibility of self-excited vibration development in the presence of viscous forces, negative damping effects and continuous supply of external energy from roller rotation.

Energetic Consideration for the Self Excited Vibration Caused by Time Delay

2017 ◽  
Vol 2017 (0) ◽  
pp. 326
Author(s):  
Yoshiaki MATSUO ◽  
Takahiro KONDOU ◽  
Nobuyuki SOWA ◽  
Hiroki MORI ◽  
Keisuke KIMURA
Keyword(s):  
Time Delay ◽  
The Self ◽  
Excited Vibration

Study on the self-excited Vibration in Cylindrical Grinding Process

2018 ◽  
Vol 2018 (0) ◽  
pp. S1320101
Author(s):  
Yushi YAMAGUCHI ◽  
Mikael. A. LANGTHJEM ◽  
Takumi ONODERA
Keyword(s):  
The Self ◽  
Grinding Process ◽  
Cylindrical Grinding ◽  
Excited Vibration

Study on the self-excited Vibration in Cylindrical Grinding Process

2019 ◽  
Vol 2019 (0) ◽  
pp. S13201
Author(s):  
Yushi YAMAGUCHI ◽  
Mikael. A. LANGTHJEM ◽  
Takumi ONODERA
Keyword(s):  
The Self ◽  
Grinding Process ◽  
Cylindrical Grinding ◽  
Excited Vibration
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