Investigation for the Mechanism and Main Parameters of the Stick-slip Nonlinear Friction Induced Vibration in Water-lubricated Stern Tube Bearing

2018 ◽  
Vol 28 (6) ◽  
pp. 655-663
Author(s):  
HyungSuk Han ◽  
KyoungHyun Lee ◽  
SungHo Park ◽  
SooHong Jeon
Keyword(s):  
Nonlinear Friction ◽  
Stick Slip ◽  
Friction Induced Vibration

Friction Induced Vibrations in Aircraft Disk Brakes

1997 ◽  
Author(s):  
Lisle B. Hagler ◽  
Per G. Reinhall
Keyword(s):  
Friction Coefficient ◽  
Multiple Scales ◽  
Primary Resonance ◽  
Rotational Model ◽  
Stick Slip ◽  
Numeric Simulation ◽  
Constant Friction ◽  
The Stability ◽  
Rotor Stiffness ◽  
Friction Induced Vibration

Abstract This paper presents a detailed analysis of the dynamic behavior of a single rotor/stator brake system. Two separate mathematical models of the brake are considered. First, a non-rotational model is constructed with the purpose of showing that friction induced vibration can occur in the stator without assuming stick-slip behavior and a velocity dependent friction coefficient. Self-induced vibrations are analyzed via the application of the method of multiple scales. The stability boundaries of the primary resonance, as well as the super-harmonics and sub-harmonics are determined. Secondly, rotational effects are investigated by considering a mathematical brake model consisting of a spinning rotor engaging against a flexible stator. Again, a constant friction coefficient is assumed. The stability of steady whirl is determined as a function of the system parameters. We demonstrate that only forward whirl is stable for no-slip motion of the rotor. The interactions between chatter, squeal, and rotor whirl are investigated through numeric simulation. It is shown that rotor whirl can be an important source of the torsional oscillations (squeal) of the stator and that the settling time to no-slip decreases as the ratio of the stator to rotor stiffness is increased.

Investigation on friction-induced judder of vehicle driveline based on a nonlinear friction model

2021 ◽  
pp. 095440702110632
Author(s):  
Shili Chang ◽  
Yuanfeng Xia ◽  
Jian Pang ◽  
Liang Yang
Keyword(s):  
Front Wheel ◽  
Friction Model ◽  
Friction Torque ◽  
The Self ◽  
Lumped Parameter Model ◽  
Torsional Stiffness ◽  
Vehicle Body ◽  
Nonlinear Friction ◽  
Stick Slip ◽  
Friction Element

Due to friction characteristics of clutch, the driveline is prone to cause a judder during vehicle starting, and then to cause the vehicle body to vibrate, which affects driving quality. In order to analyze the judder phenomenon, a nonlinear numerical friction model based on the Gaussian friction model is established in this paper. For the driveline of a front-wheel-drive vehicle, a five-degree-of-freedom (5DOF) lumped parameter model including a nonlinear friction element is established. The complex mode of the driveline during the clutch in slip condition is calculated. The key parameters affecting the driveline stability are analyzed. The self-excited judder and pressure-induced judder of the driveline are numerically simulated, and the corresponding causes are analyzed. The nonlinear friction torque of the clutch is also calculated. Furthermore, the effects of the key parameters such as the torsional stiffness and damping of the clutch and drive shaft suppressing the self-excited judder and pressure-induced judder are numerically studied respectively. Compared with the widely used Karnopp friction model, the nonlinear numerical friction model established in this paper comprehensively includes the stribeck effect in slip and the friction torque characteristics in stick. The phenomena of the judder and stick-slip of the driveline during vehicle starting are more accurately simulated. The simulation results are in good agreement with the experimental results, which verify the accuracy and effectiveness of the dynamic model including the nonlinear friction element established in this paper.

scholarly journals Friction-Induced Vibration Suppression via the Tuned Mass Damper: Optimal Tuning Strategy

Lubricants ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 100
Author(s):  
Jia Lin Hu ◽  
Giuseppe Habib
Keyword(s):  
Vibration Suppression ◽  
Vibration Absorber ◽  
Vibration Absorbers ◽  
Dynamic Vibration Absorber ◽  
Restoring Force ◽  
Stick Slip ◽  
Optimal Tuning ◽  
Dynamic Vibration ◽  
Tuning Strategy ◽  
Friction Induced Vibration

Friction-induced vibrations are a significant problem in various engineering applications, while dynamic vibration absorbers are an economical and effective tool for suppressing various kinds of vibrations. In this study, the archetypal mass-on-moving-belt model with an attached dynamic vibration absorber was considered. By adopting an analytical procedure, the optimal tuning of the absorber’s parameters was defined. Furthermore, the bifurcations occurring at the loss of stability were analytically investigated; this analysis illustrated that a properly chosen nonlinearity in the absorber’s stiffness permits controlling the supercritical or subcritical character of the bifurcation. However, a numerical analysis of the system’s dynamics, despite confirming the analytical results, also illustrated that the system’s global behavior is only slightly affected by the bifurcation character. Indeed, a dynamic vibration absorber possessing a perfectly linear restoring force function seems to provide the optimal performance; namely, it minimizes the velocity range for which stick–slip oscillations exists.

Stick-Slip Motion of a Resin-Steel Contact at Low Speeds

2012 ◽  
Author(s):  
Zhichao Hou ◽  
Xiangwu Wang ◽  
Tao Liao ◽  
Akihiko Yano ◽  
Yo Akiyama
Keyword(s):  
Polyamide 6 ◽  
Stick Slip ◽  
Sliding Bearings ◽  
C Language ◽  
Face To Face ◽  
Contact Models ◽  
Stick Slip Motion ◽  
Friction Induced Vibration ◽  
Slip Motion ◽  
Frictional Vibration

Low speed sliding bearings are widely used in many industrial engineering fields. Friction induced vibration sometimes occurs, which decreases the performance and the life of machines besides introducing heavy noise. It is still quite difficult however, to predict the occurrence of the frictional vibration due to the nonlinearity of the system. This paper tries to address the occurrence of stick-slip motion by means of experiments and simulations. With a specially designed test device, extensive tests were carried out on face-to-face contact specimens of a resin material (Polyamide 6) that rotates against steel specimens, to understand the occurrence of stick-slip motion. Math models have been employed to describe the discontinuous transition between the static and the kinetic friction coefficient of the rubbing pairs. Based on the transition law, two contact models were employed to describe the dynamic interaction between the resin and the steel specimens. A special subroutine was then implemented in Adams by C-language. Simulations were conducted for the influence of contact pressure and relative speed on the occurrence of the stick-slip motion. Comparisons show the applicability and accuracy of the models.

scholarly journals Friction-induced vibration and stick-slip waves

2011 ◽  
pp. 167-188
Author(s):  
Abdelbacet Oueslati
Keyword(s):  
Half Space ◽  
Short Review ◽  
Solution Procedure ◽  
Elastic Half Space ◽  
Van Der Pol Oscillator ◽  
Van Der Pol ◽  
Stick Slip ◽  
Method Of Solution ◽  
Transition Points ◽  
Friction Induced Vibration

This paper presents a short review and new results about the self-excited responses under the form of stick-slip regimes. First, the Van-der Pol oscillator with one degree of freedom is considered. Then it is shown that it is possible to build semi-analytical and numerical (by the FEM.) solutions of stick-slip-separation waves for a brake-like system. Then, we present new results concerning the mechanical model composed of a rigid half space in frictional sliding with an elastic half-space. The method of solution, based on periodic complex Radoks potentials, is novel and differs from those in literature. Besides, in contrast with many works, we shall consider the longitudinal elongation which plays a crucial rule in the solution procedure. A unique and weakly singular solution is found and satisfies all stick-slip conditions except over a narrow zone at transition points which implies a cracklike behaviour at the stick-slip borders.

scholarly journals Proportional-Derivative Control of Stick-Slip Oscillations in Drill-Strings

2018 ◽  
Vol 148 ◽  
pp. 16005 ◽  
Author(s):  
Wei Lin ◽  
Yang Liu
Keyword(s):  
Oil And Gas ◽  
Control Method ◽  
Drill String ◽  
Nonlinear Friction ◽  
Stick Slip ◽  
Gas Drilling ◽  
Drilling Parameters ◽  
Highly Nonlinear ◽  
Proportional Derivative Controller ◽  
Rock Bit

Stick-slip oscillation in drill-string is a universal phenomenon in oil and gas drilling. It could lead to the wear of drill bit, even cause catastrophic failure of drill-strings and measurement equipment. Therefore, it is crucial to study drilling parameters and develop appropriate control method to suppress such oscillation. This paper studies a discrete model of the drill-string system taking into account torsional degree-of-freedom, drill-string damping, and highly nonlinear friction of rock-bit interaction. In order to suppress the stick-slip oscillation, a new proportional-derivative controller, which can maintain drill bit’s rotation at a constant speed, is developed. Numerical results are given to demonstrate its efficacy and robustness.

Analysis of friction-induced vibration in a propeller–shaft system with consideration of bearing–shaft friction

2013 ◽  
Vol 228 (8) ◽  
pp. 1311-1328 ◽  
Author(s):  
Zhenguo Zhang ◽  
Feng Chen ◽  
Zhiyi Zhang ◽  
Hongxing Hua
Keyword(s):  
Stability Analysis ◽  
Dynamic Responses ◽  
Nonlinear Friction ◽  
Propeller Shaft ◽  
Shaft System ◽  
Modal Model ◽  
Lateral Coupling ◽  
Combined Action ◽  
The Stability ◽  
Friction Induced Vibration

This paper is concerned with friction-induced vibration of a continuous propeller–shaft system excited by nonlinear friction due to contact between a water-lubricated bearing and a shaft. The dynamic equation is derived using Hamilton’s principle in conjunction with the finite element method. The drooping characteristics of the nonlinear friction and the torsional–lateral coupling via the bearing–shaft interaction laws are considered. Both stability analysis and responses analysis are then investigated through various system parameters. Stability is analyzed by determining the eigenvalues of the Jacobian matrix of the linearized system at the equilibrium point. Dynamic responses of the system are calculated on the basis of a reduced order modal model using the numerical integration method in order to validate the stability analysis. Numerical simulation proved to be consistent with the linear stability analysis. Analytical and numerical investigations reveal that friction-induced vibration of the proposed system is due to the combined action of nonlinear friction and coupled dynamics of the system, rather than the velocity-dependent friction alone as is commonly assumed.

A Nonlinear Friction Model for an Electromechanical Actuator Valve

2015 ◽  
Vol 799-800 ◽  
pp. 1096-1101
Author(s):  
Zsolt Horváth
Keyword(s):  
Fault Detection ◽  
Linear Model ◽  
Friction Model ◽  
Experimental Results ◽  
Experimental Setup ◽  
Nonlinear Friction ◽  
Stick Slip ◽  
Stribeck Effect ◽  
Throttle Valve ◽  
Friction Models

In this work we have extended a basic linear model of the Electromechanical Throttle Valve to a nonlinear friction model, which captures the most important friction phenomenon of interest for fault detection. In our examination we have implemented the Tustin’s friction model. This nonlinear friction model has only 4 parameters but describes the friction phenomenon of the Stribeck effect also it includes both the Stick and Slip regimes. To the validation of the actuator model and examination of the friction models we have performed experiments using the experimental setup of NI LabVIEW CompactRIO. The friction phenomenon as hysteresis, stick-slip and Stribeck effects, are an interest for fault detection of the Actuator Valve. The experimental results have shown, that Tustin’s model provides a good approach for modeling of the friction behaviour of the Electromechanical Throttle Valve.

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