scholarly journals DYNAMIC FRICTION BEHAVIOR IN PRE-SLIDING REGIME OF PNEUMATIC ACTUATORS

2017 ◽  
Vol 7 (1) ◽  
pp. 50-68
Author(s):  
Tran Xuan Bo ◽  
Do Viet Long ◽  
Hideki Yanada
Keyword(s):  
Mathematical Model ◽  
Friction Model ◽  
Experimental Setup ◽  
Lugre Model ◽  
Friction Behavior ◽  
Pneumatic Actuators ◽  
Simulation Results ◽  
Model Of Friction ◽  
Force Displacement ◽  
Pneumatic Cylinders

This paper focuses on investigating friction behavior in pre-sliding regime and developing a new mathematical model of friction for fluid power actuators. Using pneumatic cylinders with different sizes, an experimental setup is built to measure friction force-displacement characteristics in presliding regime under various conditions of pressures in the cylinder chambers. A new mathematical model of friction for the pneumatic cylinders is proposed by incorporating a hysteresis function into the new modified LuGre model. The experimental results show that when the pressures are varied, friction of the pneumatic cylinders in pre-sliding regime is represented by behavior of a nonlinear spring. In addition, hysteresis behavior with nonlocal memory is obtained in the friction forcedisplacement characteristics and that the size of the hysteresis loop is increased with increasing pressures in the cylinder chambers. The simulation results show that the new friction model can accurately simulate the friction behavior of the pneumatic cylinders in pre-sliding regime as well as sliding regime.

A new mathematical model of friction for pneumatic cylinders

2015 ◽  
Vol 230 (14) ◽  
pp. 2399-2412 ◽  
Author(s):  
XB Tran ◽  
HT Dao ◽  
KD Tran
Keyword(s):  
Mathematical Model ◽  
Friction Force ◽  
Applied Force ◽  
Experimental Results ◽  
Experimental Setup ◽  
Lugre Model ◽  
Model Of Friction ◽  
Force Displacement ◽  
Pneumatic Cylinders

This paper focuses on investigating friction behaviors in pre-sliding state and developing a new mathematical model of friction for pneumatic cylinders. Using pneumatic cylinders with different sizes, an experimental setup is made to measure friction force–displacement characteristics in pre-sliding state under various conditions of applied force and pressures in the cylinder chambers. A new mathematical model of friction is proposed by incorporating a hysteresis function into the new modified LuGre model. The friction behaviors of the pneumatic cylinders in pre-sliding state are clarified and the usefulness of the proposed mathematical model is verified through various experimental results.

Nonlinear Free Dynamic Response of a One Degree-of-Freedom Oscillator Induced by a Quadratic Velocity Dependent Model of Friction

2012 ◽  
Author(s):  
Fida Majdoub ◽  
Joël Perret-Liaudet ◽  
Michel Belin ◽  
Jean-Michel Martin
Keyword(s):  
Dynamic Response ◽  
Quadratic Function ◽  
Force Transducer ◽  
Friction Model ◽  
Degree Of Freedom ◽  
Quadratic Term ◽  
Friction Behavior ◽  
Dimensionless Equation ◽  
Model Of Friction ◽  
Free Dynamic

In this paper, we study a kinematic friction model of a single degree-of-freedom oscillating system. This model has the following dimensionless equation of motion: y″+2ζy′+y=-μky′ in which the kinematic friction is described by a quadratic function of the velocity as the following: μky′=μ0+μ2y′2sgny′+μ1y′ The sign function preserves the asymmetry of the friction force. The model captures most of the friction behavior that has been observed experimentally using a recent apparatus known as “dynamic oscillating tribometer”. This experimental setup is based on the non-linear free dynamic response of this kind of oscillator. However, this technique is able to carefully determine, with no need for any force transducer, the velocity-independent and velocity-dependent friction coefficients, μ0 and μ1 respectively, for a linear description of the kinematic friction, μk, around y′ = 0 where: μky′=μ0sgny′+μ1y′ In this context, the principal aim is to investigate numerically and analytically the effect of the additional quadratic term. To analyze the free dynamic response and their corresponding envelops, different numerical methods are performed. New characteristics of the envelops are discussed in detail with respect to the form of the kinematic friction coefficient. This allows a better comprehension of the results observed experimentally.

Efficient Simulation of a Dynamic System With LuGre Friction

2005 ◽  
Author(s):  
Nguyen B. Do ◽  
Aldo A. Ferri ◽  
Olivier Bauchau
Keyword(s):  
Friction Model ◽  
Lugre Model ◽  
Stiff System ◽  
Friction Laws ◽  
Efficient Simulation ◽  
Lugre Friction Model ◽  
Runge Kutta Method ◽  
Lugre Friction ◽  
Runge Kutta ◽  
Model Of Friction

Friction is a difficult phenomenon to model and simulate. One promising friction model is the LuGre model, which captures key frictional behavior from experiments and from other friction laws. While displaying many modeling advantages, the LuGre model of friction can result in numerically stiff system dynamics. In particular, the LuGre friction model exhibits very slow dynamics during periods of sticking and very fast dynamics during periods of slip. This paper investigates the best simulation strategies for application to dynamic systems with LuGre friction. Several simulation strategies are applied including the explicit Runge-Kutta, implicit Trapezoidal, and implicit Radau-IIA schemes. It was found that both the Runge-Kutta and Radau-IIA methods performed well in simulating the system. The Runge-Kutta method had better accuracy, but the Radau-IIA method required less integration steps.

Parameter Identification of LuGre Friction Model for Robot Joints

2012 ◽  
Vol 479-481 ◽  
pp. 1084-1090 ◽  
Author(s):  
Ya Qing Zheng
Keyword(s):  
Theoretical Foundation ◽  
Friction Model ◽  
Parameters Identification ◽  
Dynamic Parameters ◽  
Lugre Model ◽  
Friction Behavior ◽  
Research Issues ◽  
Lugre Friction Model ◽  
Lugre Friction ◽  
Experimental Validations

The LuGre friction model well captures most of the friction behavior, but it was very difficult to identify the parameters of the LuGre model. The LuGre friction model, theory of static and dynamic parameters identification of the LuGre model as well as the algorithm based on particle swarm optimization are summarized according to the previous work. Then the programs for the static and dynamic parameters identification are made and analyzed in the environment of Matlab software in detail, and the identification results are given. The work mentioned above will lay the theoretical foundation for the future experimental validations and provide the detailed models, algorithms and programs for the corresponding research issues.

Efficient Simulation of a Dynamic System with LuGre Friction

2007 ◽  
Vol 2 (4) ◽  
pp. 281-289 ◽  
Author(s):  
Nguyen B. Do ◽  
Aldo A. Ferri ◽  
Olivier A. Bauchau
Keyword(s):  
Friction Model ◽  
Lugre Model ◽  
Stiff System ◽  
Efficient Simulation ◽  
Lugre Friction Model ◽  
Runge Kutta Method ◽  
Friction Models ◽  
Lugre Friction ◽  
Runge Kutta ◽  
Model Of Friction

Friction is a difficult phenomenon to model and simulate. One promising friction model is the LuGre model, which captures key frictional behavior from experiments and from other friction models. While displaying many modeling advantages, the LuGre model of friction can result in numerically stiff system dynamics. In particular, the LuGre friction model exhibits very slow dynamics during periods of sticking and very fast dynamics during periods of slip. This paper investigates the best simulation strategies for application to dynamic systems with LuGre friction. Several simulation strategies are applied including the explicit Runge–Kutta, implicit Trapezoidal, and implicit Radau-IIA schemes. It was found that both the Runge–Kutta and Radau-IIA methods performed well in simulating the system. The Runge–Kutta method had better accuracy, but the Radau-IIA method required less integration steps.

scholarly journals Experimental investigation of friction behavior in pre-sliding regime for pneumatic cylinder

2014 ◽  
Vol 36 (4) ◽  
pp. 283-290
Author(s):  
Tran Xuan Bo ◽  
Pham Tat Thang ◽  
Do Thanh Cong ◽  
Ngo Sy Loc
Keyword(s):  
Friction Force ◽  
Friction Model ◽  
Operating Conditions ◽  
Experimental Results ◽  
Hysteretic Behavior ◽  
Pneumatic Cylinder ◽  
Experimental Investigations ◽  
Friction Behavior ◽  
Piston Displacement ◽  
Pneumatic Cylinders

Friction always presents in pneumatic cylinders and causes difficulties in controlling position and velocity of pneumatic systems. In order to improve the control performance of the pneumatic systems, it is necessary to fully understand behavior of friction in the pneumatic cylinders. So far, dynamic friction behavior of pneumatic cylinders has been investigated but mainly focused on the friction behavior in sliding regime. In pre-sliding regime, friction behavior has not been investigated. In this paper, experimental investigations of friction behavior of a pneumatic cylinder in pre-sliding regime are made. The friction force is calculated from the equation of motion of the piston using the measured values of pressures in the two cylinder chambers and the piston displacement. The pressures are controlled by using two proportional pressure control valve. The friction force versus piston displacement characteristics are measured and analysed under various operating conditions of the applied force and the pressures. Experimental results show that: i) the piston motion in pre-sliding regime exhibits a nonlinear spring behavior; ii) hysteretic behavior with nonlocal memory is verified; iii) the pressures have influence only on the size of the hysteretic loop. These experimental results can be applied to develop a friction model for pneumatic cylinders.

A Dynamic Model of Friction Draft Gear

2014 ◽  
Author(s):  
Qing Wu ◽  
Maksym Spiryagin ◽  
Colin Cole
Keyword(s):  
Dynamic Modeling ◽  
Field Test ◽  
Modeling And Prediction ◽  
Heavy Haul ◽  
Draft Gear ◽  
Train Dynamics ◽  
Simulation Results ◽  
Model Of Friction ◽  
Heavy Haul Trains ◽  
Force Displacement

Friction draft gears are the most widely used draft gears. Modeling and prediction of their dynamic behavior are of significant assistance in addressing various concerns. Longer, heavier and faster heavy haul trains mean larger in-train forces and more complicated force patterns, which require further improvements of dynamic modeling of friction draft gears to assess the longitudinal train dynamics. In this paper a force-displacement characteristics model named “base model” was described. The base model was simulated after the analyses of a set of field-test data. Approaches to improve the base model to a full advanced draft gear model were discussed; preliminary simulation results of an advanced draft gear model were also presented.

Research on Dynamic Balance Method of Precision Centrifuge

2014 ◽  
Vol 945-949 ◽  
pp. 777-780
Author(s):  
Tao Liu ◽  
Yong Xu ◽  
Bo Yuan Mao
Keyword(s):  
Mathematical Model ◽  
Balance Control ◽  
Dynamic Balance ◽  
Dynamic Balancing ◽  
Structure Characteristics ◽  
Balance System ◽  
Simulation Results ◽  
Set Up ◽  
System Controller ◽  
The Mathematical Model

Firstly, according to the structure characteristics of precision centrifuge, the mathematical model of its dynamic balancing system was set up, and the dynamic balancing scheme of double test surfaces, double emendation surfaces were established. Then the dynamic balance system controller of precision centrifuge was designed. Simulation results show that the controller designed can completely meet the requirements of precision centrifuge dynamic balance control system.

Modal Analysis of the Axial Compressor Blade: Advanced Time-Dependent Electronic Interferometry and Finite Element Method

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Mykhaylo Tkach ◽  
Serhii Morhun ◽  
Yuri Zolotoy ◽  
Irina Zhuk
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Finite Element ◽  
High Reliability ◽  
Axial Compressor ◽  
Time Dependent ◽  
Experimental Setup ◽  
Vibration Modes ◽  
Compressor Blades ◽  
Isoparametric Finite Element

AbstractNatural frequencies and vibration modes of axial compressor blades are investigated. A refined mathematical model based on the usage of an eight-nodal curvilinear isoparametric finite element was applied. The verification of the model is carried out by finding the frequencies and vibration modes of a smooth cylindrical shell and comparing them with experimental data. A high-precision experimental setup based on an advanced method of time-dependent electronic interferometry was developed for this aim. Thus, the objective of the study is to verify the adequacy of the refined mathematical model by means of the advanced time-dependent electronic interferometry experimental method. The divergence of the results of frequency measurements between numerical calculations and experimental data does not exceed 5 % that indicates the adequacy and high reliability of the developed mathematical model. The developed mathematical model and experimental setup can be used later in the study of blades with more complex geometric and strength characteristics or in cases when the real boundary conditions or mechanical characteristics of material are uncertain.

An improved nonlinear model considering relative velocity for the friction behavior between untwisted glass-fiber tow and roller

2021 ◽  
pp. 004051752110308
Author(s):  
Yang Liu ◽  
Zhong Xiang ◽  
Xiangqin Zhou ◽  
Zhenyu Wu ◽  
Xudong Hu
Keyword(s):  
Friction Coefficient ◽  
Glass Fiber ◽  
Relative Velocity ◽  
Friction Model ◽  
Woven Fabric ◽  
Test Results ◽  
Application Process ◽  
Friction Behavior ◽  
Improved Model

Friction between the tow and tool surface normally happens during the tow production, fabric weaving, and application process and has an important influence on the quality of the woven fabric. Based on this fact, this paper studied the influence of tension and relative velocity on the three kinds of untwisted-glass-fiber tow-on-roller friction with a Capstan-based test setup. Furthermore, an improved nonlinear friction model taking both tension and velocity into account was proposed. According to statistical test results, firstly, the friction coefficient was found to be positively correlated with tension and relative velocity. Secondly, tension and velocity were complementary on the tow-on-roller friction behavior, with neither being superior to the other. Thirdly, an improved model was found to present well the nonlinear characteristics between friction coefficient and tension and velocity, and predicational results of the model were found to agree well with the observations from Capstan tests.

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