Approximately analytical procedure to evaluate random stick-slip vibration of Duffing system including dry friction

The interface of bolted joint commonly focuses on the research of non-linear damping and stiffness, which affect structural response. In the article, the non-linear damping model of bolted-joint interface is built, consisting of viscous damping and Coulomb friction. Energy balancing method is developed to identify the dry-friction parameter and viscous damping factor. The corresponding estimation equations are acquired when the input is harmonic excitation. Then, the vibration experiments with different bolted preloads are conducted, from which amplitudes in various input levels are used to work out the interface parameters. Also, the fitting curves of dry-friction parameters are also obtained. Finally, the results illustrate that the most interface of bolted joint in lower excitation levels occurs stick-slip motion, and the feasibility of the identification approach is demonstrated.

Download Full-text

Analysis of Beam-Like Structures With Displacement-Dependent Friction Forces: Part I — Single-Degree-of-Freedom Model

Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems ◽

10.1115/detc1995-0355 ◽

1995 ◽

Author(s):

Wayne E. Whiteman ◽

Aldo A. Ferri

Keyword(s):

Dry Friction ◽

Damping Ratio ◽

Strong Dependence ◽

Time Integration ◽

Single Mode ◽

Stick Slip ◽

Friction Forces ◽

Equivalent Damping ◽

Damping Characteristics ◽

Parameter Values

Abstract The dynamic behavior of a beam-like structure undergoing transverse vibration and subjected to a displacement-dependent dry friction force is examined. In Part I, the beam is modeled by a single mode while Part II considers multi-mode representations. The displacement dependence in each case is caused by a ramp configuration that allows the normal force across the sliding interface to increase linearly with slip displacement. The system is studied first by using first-order harmonic balance and then by using a time integration method. The stick-slip behavior of the system is also studied. Even though the only source of damping is dry friction, the system is seen to exhibit “viscous-like” damping characteristics. A strong dependence of the equivalent natural frequency and damping ratio on the displacement amplitude is an interesting result. It is shown that for a given set of parameter values, an optimal ramp angle exists that maximizes the equivalent damping ratio. The appearance of two dynamic response solutions at certain system and forcing parameter values is also seen. Results suggest that the overall characteristics of mechanical systems may be improved by properly configuring frictional interfaces to allow normal forces to vary with displacement.

Download Full-text

Draft: Stick-Slip Motions of a Rotor-Stator System

Journal of Vibration and Acoustics ◽

10.1115/1.4025994 ◽

2013 ◽

Vol 136 (2) ◽

Cited By ~ 12

Author(s):

Nicholas Vlajic ◽

Chien-Min Liao ◽

Hamad Karki ◽

Balakumar Balachandran

Keyword(s):

Dry Friction ◽

Torsional Oscillation ◽

Flexible Structures ◽

Oil Well ◽

Torsional Vibrations ◽

Dimensional Model ◽

Torsional Mode ◽

Stick Slip ◽

Finite Dimensional ◽

Motion State

In the current study, the authors examine the torsional vibrations of a rotor enclosed within a stator subjected to dry friction. Through the experiments, it is demonstrated that forward whirling of the rotor occurs while in contact with the stator, backward whirling occurs with contact, as well as impacting motions, which are characterized by nonsynchronous whirling with rotor-stator collisions. While undergoing these motions, the torsional oscillations are excited by stick-slip interactions. Experimental data are presented to show the presence of a stable torsional mode dominated motion while subjected to stick-slip forces during dry-friction whirling. In this motion state, the torsional oscillation response occurs at a combination of frequencies including drive and whirl frequencies. A finite dimensional model is constructed and simulations carried out by using this model are able to capture the system dynamics, including the torsional responses observed during dry-friction whirling. Numerical results obtained by using this model are consistent with experimental observations. The findings of this study are relevant to whirling motions experienced by rotating, long flexible structures, such as drill strings used in oil-well explorations.

Download Full-text

Asymptotic Impact Control of Hydraulic Actuators With Friction

Dynamic Systems and Control, Parts A and B ◽

10.1115/imece2004-61275 ◽

2004 ◽

Cited By ~ 1

Author(s):

P. Sekhavat ◽

N. Sepehri ◽

Q. Wu

Keyword(s):

Steady State ◽

Nonlinear Control ◽

Dry Friction ◽

Position Control ◽

Past Research ◽

Hydraulic Actuator ◽

Stick Slip ◽

Hydraulic Actuators ◽

Control Scheme ◽

Control Schemes

The focus of this work is stabilization of hydraulic actuators during the transition from free motion to constraint motion and regulating the intermediate impacts that could drive the system unstable. In our past research, we introduced Lyapunov-based nonlinear control schemes capable of fulfilling the above goal by resting the implement on the surface of the environment before starting the sustained-contact motion. The hydraulic actuator’s stick-slip friction effect was, however, either not included in the analysis or not compensated by the control action. In this paper, the application of our previously introduced friction compensating position control scheme is extended to impact regulation of a hydraulic actuator. Theoretical solution and stability analyses as well as actual experiments prove that such control scheme is also effective for asymptotic impact control (with no position steady-state error) of hydraulic actuators in the presence of actuator’s dry friction.

Download Full-text

Nonlinear analysis of the stick-slip bifurcation in the creep-controlled regime of dry friction

Physical Review E ◽

10.1103/physreve.51.4005 ◽

1995 ◽

Vol 51 (5) ◽

pp. 4005-4010 ◽

Cited By ~ 52

Author(s):

T. Baumberger ◽

C. Caroli ◽

B. Perrin ◽

O. Ronsin

Keyword(s):

Nonlinear Analysis ◽

Dry Friction ◽

Stick Slip

Download Full-text

Wavelet Analysis of Stick-Slip Signals in Oscillators With Dry-Friction Contact

Journal of Vibration and Acoustics ◽

10.1115/1.1891819 ◽

2004 ◽

Vol 127 (2) ◽

pp. 139-143 ◽

Cited By ~ 3

Author(s):

Jin-Wei Liang ◽

Brian F. Feeny

Keyword(s):

Wavelet Analysis ◽

Wavelet Transforms ◽

Dry Friction ◽

Contact Stiffness ◽

Real Data ◽

Friction Contact ◽

Stick Slip ◽

Wavelet Features ◽

Friction Models ◽

Slip Transition

Wavelet transforms were compared between various simulated friction models and real stick-slip data. While simulations of several models produced stick-slip transition oscillations seen in the real data, the wavelet features of the compliant contact model with light damping best captured the characteristics of the experimental signal. The wavelet contours were also used to estimate the contact stiffness.

Download Full-text

Experimental Study of Dynamic Characteristics of Dry Friction Damping of Turbine Blade Steel

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.690-693.1979 ◽

2013 ◽

Vol 690-693 ◽

pp. 1979-1982 ◽

Cited By ~ 4

Author(s):

Peng Fei Zhao ◽

Qiang Zhang ◽

Jun Wu ◽

Di Zhang

Keyword(s):

Dry Friction ◽

Turbine Blades ◽

Initial Pressure ◽

Relative Displacement ◽

Radius Of Curvature ◽

Response Analysis ◽

Friction Damper ◽

Friction Damping ◽

Stick Slip ◽

Dry Friction Damping

For lot of structures, especially turbine blades, damper can dissipate the vibration energy by friction. Investigating the property of metal dry friction damping can give many usable data for response analysis of damping blade which is important in damped blade designs. The paper constructs an experimental rig and carries out experiment with pieces having radius of curvature 6mm, 12mm and 24mm. The relative displacement between contact surfaces and the friction force changed with time were obtained for different initial pressure and frequency of exciting force. Hysteresis curves of dry friction damper were derived. The variations of friction coefficient of stick-slip area, equivalent stiffness and equivalent damping were calculated based on experimental data.

Download Full-text

Influence of the Dry Friction Suspension System Characteristics on the Stick-Slip of Vertical Vibration of a Three-Piece Bogie

Shock and Vibration ◽

10.1155/2021/8868996 ◽

2021 ◽

Vol 2021 ◽

pp. 1-15

Author(s):

Dali Lyu ◽

Qichang Zhang ◽

Kewei Lyu ◽

Jiaxing Liu ◽

Yulong Li

Keyword(s):

Numerical Method ◽

Dry Friction ◽

Wedge Angle ◽

Vertical Vibration ◽

Vibration Damping ◽

Suspension System ◽

Railway Vehicle ◽

Stick Slip ◽

System Frequency ◽

Dry Friction Damping

The dry friction structure is a commonly used vibration-damping method for railway vehicles. Insufficient vibration damping performance will cause excessive vibration of the vehicle, which is not conducive to the safety of the vehicle. However, the mechanism of vibration damping and the cause of clamping stagnation have not been well resolved. This paper uses the analytical method, numerical method, and finite element method to analyze the vertical dynamic characteristics of the simple suspension system with dry friction and demonstrates that the numerical method is an effective method to study the dry model. The conditions for the system to produce sticking events were analyzed by the numerical method. The analysis shows that the system's excitation is too small, which causes clamping stagnation to the system. The reduction of the wedge angle and the friction coefficient are conducive to eliminating sticking. A negative side frame angle is conducive to reducing the high-frequency energy of the excitation. Decreasing spring stiffness or increasing system mass to reduce system frequency can reduce sticking events. The mutual verification of different methods confirms the correctness of the analysis method and analyzes the cause of sticking or clamping stagnation from the mechanism, which provides a new idea for the design and improvement of the dry friction damping system of railway vehicle bogies.

Download Full-text

Stick-Slip Chaos in a Non-Ideal Self-Excited System

Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C ◽

10.1115/detc2003/vib-48628 ◽

2003 ◽

Author(s):

B. R. Pontes ◽

J. M. Balthazar ◽

V. A. Oliveira

Keyword(s):

Power Supply ◽

Dry Friction ◽

Dynamic Structure ◽

Oil Well ◽

Chaotic Oscillations ◽

Stick Slip ◽

Excited System ◽

Limited Power ◽

Limited Power Supply ◽

And Control

In engineering practical systems the excitation source is generally dependent on the system dynamic structure. In this paper we analyze a self-excited oscillating system due to dry friction which interacts with an energy source of limited power supply (non ideal problem). The mechanical system consists of an oscillating system sliding on a moving belt driven by a limited power supply. In the oscillating system considered here, dry friction acts as an excitation mechanism for stick-slip oscillations. The stick-slip chaotic oscillations are investigated because the knowledge of their dynamic characteristics is an important step in system design and control. Many engineering systems present stick-slip chaotic oscillations such as machine tools, oil well drillstrings, car brakes and others.

Download Full-text