Mathematical model to simulate the stick-slip mechanism of faulted rocks

1992 ◽  
Vol 29 (4) ◽  
pp. 241
Author(s):  
Tao Zhen-Yu ◽  
Zhang Li-Ming
Keyword(s):  
Mathematical Model ◽  
Stick Slip ◽  
Slip Mechanism

Modeling and Simulation of Stick-Slip Motion for Pneumatic Cylinder Based on Meter-In Circuit

2011 ◽  
Vol 130-134 ◽  
pp. 775-780 ◽  
Author(s):  
Peng Fei Qian ◽  
Guo Liang Tao ◽  
Jian Feng Chen ◽  
Bo Lu
Keyword(s):  
Mathematical Model ◽  
Pneumatic Cylinder ◽  
Practical Application ◽  
Stick Slip ◽  
Slip Mechanism ◽  
Runge Kutta Method ◽  
Variable Step ◽  
Order Variable ◽  
Stick Slip Motion ◽  
Slip Motion

For the stick-slip phenomenon encountered in the pneumatic cylinder motion in practical application, the stick-slip mechanism was analyzed and an nonlinear mathematical model based on the improved LuGre model of pneumatic cylinder movement was established. The movement of the piston and the pressure of the rodless chamber in the pneumatic cylinder based on meter-in circuit were obtained through solving the differential equations by four-order variable-step Runge-Kutta method. The comparison between simulation and experimental results shows that the established mathematical model can describe the stick-slip motion of pneumatic cylinder with a relatively good accuracy.

Fatigue Testing and Analysis of a Deep Water Steel Tube Umbilical

2008 ◽  
Author(s):  
Alan Dobson ◽  
Dave Fogg
Keyword(s):  
Mathematical Model ◽  
Fatigue Testing ◽  
Steel Tube ◽  
Steel Tubes ◽  
Stick Slip ◽  
Stress Variation ◽  
Slip Mechanism ◽  
Deep Waters ◽  
Bending Loads ◽  
The Mathematical Model

Rapid analysis of dynamic umbilical structures during the design phase requires a robust mathematical model of the component stresses due to static and alternating loads. The following discusses the validation of a model, through full scale testing, used to assess the stresses and strains present within steel tubes, in umbilical structures typically used in dynamic service in deep waters, such as found in the Gulf of Mexico and offshore West Coast of Africa. The validation focuses upon the complexity of the mathematical model and the influence of tension magnitude the stick-slip mechanism and the stress variation around the circumference of the tubes when under the influence of bending loads.

Hysteresis Identification of Carbon Nanotube Composite Beams

2018 ◽  
Author(s):  
Michela Taló ◽  
Walter Lacarbonara ◽  
Giovanni Formica ◽  
Giulia Lanzara
Keyword(s):  
Phenomenological Model ◽  
Differential Evolution Algorithm ◽  
Hysteresis Loops ◽  
Hysteretic Behavior ◽  
Damping Capacity ◽  
Stick Slip ◽  
Slip Mechanism ◽  
Material Optimization ◽  
Constitutive Parameters ◽  
Mean Square Errors

Nanocomposites made of a hosting polymer matrix integrated with carbon nanotubes as nanofillers exhibit an inherent hysteretic behavior arising from the CNT/matrix frictional sliding. Such stick-slip mechanism is responsible for the high damping capacity of CNT nanocomposites. A full 3D nonlinear constitutive model, framed in the context of the Eshelby-Mori-Tanaka theory, reduced to a 1D phenomenological model is shown to describe accurately the CNT/polymer stick-slip hysteresis. The nonlinear hysteretic response of CNT nanocomposite beams is experimentally characterized via displacement-driven tests in bending mode. The force-displacement cycles are identified via the phenomenological model featuring five independent constitutive parameters. A preliminary parametric study highlights the importance of some key parameters in determining the shape of the hysteresis loops. The parameter identification is performed via one of the variants of a genetic-type differential evolution algorithm. The nanocomposites hysteresis loops are identified with reasonably low mean square errors. Such outcome confirms that the 1D phenomenological model may serve as an effective tool to describe and predict the nanocomposite nonlinear hysteretic behavior towards unprecedented material optimization and design.

Stick-slip mechanism in a granular medium

2010 ◽  
Vol 46 (6) ◽  
pp. 600-605 ◽  
Author(s):  
A. P. Bobryakov
Keyword(s):  
Granular Medium ◽  
Stick Slip ◽  
Slip Mechanism

scholarly journals FRICTION ANALYSIS IN CASE OF THE CARRIAGE- FEED SHAFT CINEMATIC COUPLING AT CNC LATHE

2020 ◽  
Vol 7 (5) ◽  
pp. 30-37
Author(s):  
Daniel Popescu
Keyword(s):  
Mathematical Model ◽  
Rational Design ◽  
Normal Force ◽  
Stick Slip ◽  
Disturbing Force ◽  
Dimensional Precision ◽  
Cnc Lathe ◽  
Elastic Systems ◽  
Friction Analysis ◽  
Slip Phenomenon

The paper presents a mathematical model for analysis of friction between the tool bearing saddle and conductor at CNC lathe. The analysis of longitudinal advance movement laws is performed taking into account the appearance and development of disturbing harmonic forces created by auto-vibrations determined by the interaction between the partial elastic systems of tool and workpiece. The friction force is emphasized as product of two components depending on the sliding speed and on the normal disturbing force. By establishing the dynamic response of the system, when the normal force depends linearly on speed, acceleration and mobile ensemble position, the premises are created for stability analysis of the friction movement, obtaining the limit speeds under which the stick-slip phenomenon occurs. Thus, it is provided for a rational design of CNC lathe elastic structure, in order to improve the surface quality and the dimensional precision.

scholarly journals Effect of Nitrogen Implantation on Metal Transfer during Sliding Wear under Ambient Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-16 ◽  
Author(s):  
Luke Autry ◽  
Harris Marcus
Keyword(s):  
Wear Mechanism ◽  
Heat Treating ◽  
Metal Transfer ◽  
Interstitial Free ◽  
Volumetric Wear ◽  
Ambient Conditions ◽  
Nitrogen Implantation ◽  
Stick Slip ◽  
Near Surface ◽  
Slip Mechanism

Nitrogen implantation in Interstitial-Free steel was evaluated for its impact on metal transfer and 1100 Al rider wear. It was determined that nitrogen implantation reduced metal transfer in a trend that increased with dose; the Archard wear coefficient reductions of two orders of magnitude were achieved using a dose of 2e17 ions/cm2, 100 kV. Cold-rolling the steel and making volumetric wear measurements of the Al-rider determined that the hardness of the harder material had little impact on volumetric wear or friction. Nitrogen implantation had chemically affected the tribological process studied in two ways: directly reducing the rider wear and reducing the fraction of rider wear that ended up sticking to the ISF steel surface. The structure of the nitrogen in the ISF steel did not affect the tribological behavior because no differences in friction/wear measurements were detected after postimplantation heat treating to decompose the as-implantedε-Fe3N toγ-Fe4N. The fraction of rider-wear sticking to the steel depended primarily on the near-surface nitrogen content. Covariance analysis of the debris oxygen and nitrogen contents indicated that nitrogen implantation enhanced the tribo-oxidation process with reference to the unimplanted material. As a result, the reduction in metal transfer was likely related to the observed tribo-oxidation in addition to the introduction of nitride wear elements into the debris. The primary Al rider wear mechanism was stick-slip, and implantation reduced the friction and friction noise associated with that wear mechanism. Calculations based on the Tabor junction growth formula indicate that the mitigation of the stick-slip mechanism resulted from a reduced adhesive strength at the interface during the sticking phase.

Cyclic extrusion of a lava dome based on a stick-slip mechanism

2012 ◽  
Vol 337-338 ◽  
pp. 39-46 ◽  
Author(s):  
A. Costa ◽  
G. Wadge ◽  
O. Melnik
Keyword(s):  
Lava Dome ◽  
Stick Slip ◽  
Slip Mechanism

Modeling and Simulation of a Micro-Actuator with Long-Travel

2008 ◽  
Vol 392-394 ◽  
pp. 804-809
Author(s):  
W.R. Jiang ◽  
Ze Sheng Lu
Keyword(s):  
Mathematical Model ◽  
High Resolution ◽  
Transfer Function ◽  
Friction Model ◽  
Theory Analysis ◽  
Stick Slip ◽  
Micro Actuator ◽  
Transmission Part ◽  
Speed Change ◽  
Set Up

A microactuator with long-travel and high-resolution based on the principle of tribology is presented, which stroke is up to 300mm and displacement resolution is 0.01μm. It resolves the contradiction of large-stroke and high-resolution in macro/micro drive successfully. The dynamic model of the microactuator is set up. The theory analysis on the dynamic character of the system is carried out based on Karnopp “stick-slip” friction model. The physical and mathematical model of the drive part and transmission part are set up respectively by the method of modularization. The transfer function of the system is attained. The tacking simulation is carried out based on fuzzy control with speed change integral, the result is proved that error is 0.004μm.

Application Research of Stick-Slip Mechanism on MW Wind Turbine Yaw System

2012 ◽  
Vol 220-223 ◽  
pp. 463-468
Author(s):  
Xiao Guang Li ◽  
Ping Zhao ◽  
Jie Zhong
Keyword(s):  
Wind Turbine ◽  
Damping Ratio ◽  
Kinematic Model ◽  
Torsional Stiffness ◽  
Application Research ◽  
Stick Slip ◽  
Rotating Speed ◽  
Slip Mechanism ◽  
Simulation Calculation ◽  
Stick Slip Motion

The “stick-slip” motion or creep phenomenon is often observed in MW wind turbine yaw system. Yam system stick-slip coupling phenomenon was analyzed, and stick-slip coupling kinematic model was established and simulated by Simulink. The influence of torsional stiffness, friction coefficient difference, rotating speed, damping ratio and tightening torque on system was researched. Main measures for elimination of stick-slip coupling phenomenon were given through theoretical analysis and simulation calculation.

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