scholarly journals Nanomanipulation Modeling and Simulation

2006 ◽  
Author(s):  
Yanto Mualim ◽  
Fathi H. Ghorbel ◽  
James B. Dabney
Keyword(s):  
Friction Model ◽  
Stick Slip ◽  
Interaction Forces ◽  
Mathematical Properties ◽  
Lugre Friction Model ◽  
Novel Approach ◽  
Proposed Model ◽  
Lugre Friction ◽  
Physical Phenomena ◽  
Well Posed

A novel approach to better model nanomanipulation of a nanosphere laying on a stage via a pushing scheme is presented. Besides its amenability to nonlinear analysis and simulation, the proposed model is also effective in reproducing experimental behaviors commonly observed during AFM-type nanomanipulation. The proposed nanomanipulation model consists of integrated subsystems that are identified in a modular fashion. The subsystems consistently define the dynamics of the nanomanipulator tip and nanosphere, interaction forces between the tip and the nanosphere, friction between the nanosphere and the stage, and the contact deformation between the nanomanipulator tip and the nanosphere. The main feature of the proposed nanomanipulation model is the Lund-Grenoble (LuGre) dynamic friction model that reliably represents the stick-slip behavior of atomic friction experienced by the nanosphere. The LuGre friction model introduces a new friction state and has desirable mathematical properties making it a well-posed dynamical model that characterizes friction with fidelity. The proposed nanomanipulation model facilitates further improvement and extension of each subsystem to accommodate other physical phenomena that characterize the physics and mechanics of nanomanipulation. Finally, the versatility and effectiveness of the proposed model is simulated and compared to existing models in the literature.

A Dynamic Model Incorporating Thermal Effect for Piezoelectric Stick-Slip Actuators

2008 ◽  
Author(s):  
J. W. Li ◽  
W. J. Zhang ◽  
Q. S. Zhang ◽  
X. B. Chen ◽  
S. D. Tu
Keyword(s):  
Thermal Effect ◽  
Dynamic Model ◽  
Friction Model ◽  
Significant Rise ◽  
Stick Slip ◽  
Lugre Friction Model ◽  
Identification Approach ◽  
Lugre Friction ◽  
Account Thermal Effect ◽  
Good Agreement

It was found experimentally from our previous study that the operation of the piezoelectric actuator (PEA) and the friction in the piezoelectric stick-slip actuator (PE-SSA) can cause significant rise in temperature, thereby degrading the performance of the actuator. This paper presents a dynamic model for the PE-SSA by taking into account thermal effect. In particular, the dynamic model is developed by integrating the PEA model proposed by Adriaens et al. [1] and the LuGre friction model proposed by De Wit et al. [2]; the parameters involved in the models are determined using a system identification approach. Experiments are carried out to verify the effectiveness of the model. It is shown that the simulation and experimental results are in a good agreement. This study provides a new way to model thermal effect for other micro motion systems.

Friction-Induced Vibrations During Tightening of Bolted Joints: Insights From a Multi-Body Model

2017 ◽  
Author(s):  
Nicolaj Baramsky ◽  
Arthur Seibel ◽  
Josef Schlattmann
Keyword(s):  
Friction Model ◽  
Bolted Joints ◽  
Stick Slip ◽  
Body Model ◽  
Lugre Friction Model ◽  
Element Simulation ◽  
Detailed Simulation ◽  
Lugre Friction ◽  
Slip Frequency ◽  
Multi Body

The tightening process of bolted joints shows a highly dynamic behavior, which depends on numerous factors and can therefore be challenging to be adequately quantitatively reproduced. The presented model solves this problem by combining a multi-body model of the joint with the sophisticated LuGre friction model. This allows for a detailed simulation while simultaneously reducing the computational work in comparison to a standard finite element simulation. We demonstrate that, with a constant tightening angular velocity, the progression of the tightening torque and the preload force can be described by three constants. The model further allows to implement custom torque sources, screw types, and materials to further extend its capabilities. In this contribution, we focus on the basic relationships of acting torques on the joint and friction-induced vibrations during the tightening process. Furthermore, effects of typical geometric and material changes on the stick-slip frequency are demonstrated and discussed.

A New LuGre Friction Model for MR-9000 Type MR Damper

2008 ◽  
Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh
Keyword(s):  
Dynamic Behavior ◽  
Large Scale ◽  
Optimization Technique ◽  
Mr Damper ◽  
Least Square Method ◽  
Friction Model ◽  
Least Square ◽  
Lugre Friction Model ◽  
Proposed Model ◽  
Lugre Friction

This paper presents a new hysteresis model, based on the LuGre friction model, to analyze the dynamic behavior of large-scale Magneto-Rheological (MR) damper (MR-9000 type MR-damper [1]) accurately and efficiently. The gradient based optimization technique and the least square method will be utilized to identify the modal parameters. The dynamic behavior of MR-damper under different types of excitation and input current have been predicted using the proposed model and then compared with those predicted using modified Bouc-Wen model to verify the validity of the proposed model.

Optimal Sliding Mode Control of AFM Tip Vibration and Position During Manipulation of a Nanoparticle

2009 ◽  
Author(s):  
Hesam Babahosseini ◽  
Majid Khorsand ◽  
Ali Meghdari ◽  
Aria Alasty
Keyword(s):  
Sliding Mode ◽  
Interaction Force ◽  
Friction Model ◽  
Reliable Control ◽  
Linear Quadratic ◽  
Stick Slip ◽  
Interaction Forces ◽  
Atomic Force ◽  
Proposed Model ◽  
Tip Position

This research regards to a two-dimensional lateral pushing nanomanipulation using Atomic Force Microscope (AFM). Yet a reliable control of the AFM tip position during the AFM-based manipulation process is a chief issue since the tip can jump over the target nanoparticle and then the process can fail. However, a detailed Modeling and understanding of the interaction forces on the AFM tip is important for prosperous manipulation control and a nanometer resolution tip positioning. In the proposed model, Lund-Grenoble (LuGre) dynamic friction model is used as friction force on the contact surface between the nanoparticle and the substrate. This model leads to a stick-slip behavior of the nanoparticle that is so similar to the experimental behavior in nanoscale. Derjaguin interaction force is applied between the AFM tip and the nanoparticle which considers both attractive and repulsive interactions. The AFM is modeled by lumped-parameters model. A controller is designed based on the proposed dynamic model in order for positioning the AFM tip during a desired nanomanipulation task. Optimal sliding mode approach is used to design the controller. In this approach sliding surface which is used in the sliding mode approach is selected optimally based on the linear quadratic (LQ) method.

Dynamic Analysis of Planar Mechanical Systems With Clearance Joint Based on LuGre Friction Model

2018 ◽  
Vol 13 (6) ◽  
Author(s):  
Xiao Tan ◽  
Guoping Chen ◽  
Dongyang Sun ◽  
Yan Chen
Keyword(s):  
Contact Force ◽  
Coulomb Friction ◽  
Friction Model ◽  
Stick Slip ◽  
Stribeck Effect ◽  
Revolute Clearance Joint ◽  
Lugre Friction Model ◽  
Clearance Joint ◽  
Lugre Friction ◽  
Coulomb Friction Model

A computational methodology to model and analyze planar rigid mechanical system with stick–slip friction in revolute clearance joint is presented. In this work, the LuGre friction model, which captures the Stribeck effect and spring-like characteristics for stiction, is employed to estimate the stick–slip friction in revolute clearance joint. A hybrid contact force model, combining Lankarani–Nikravesh model, and improved elastic foundation model, is used to establish contact model. The generalized-α method, which can dissipate the spurious high-frequency responses caused by the strongly nonlinear contact force and friction in numerical simulation, is adopted to solve the equations of motion and make the result closer to the physics of the problem. A slider-crank mechanism with revolute clearance joint based on LuGre friction model and modified coulomb friction model are simulated, respectively, and utilized to discuss the influences of the Stribeck effect and stiction on dynamic behavior of the mechanism. Different test scenarios are considered to investigate the effects of the clearance size and friction coefficient on the dynamic response of the mechanism. The results show that the mechanism based on LuGre friction model has better energy dissipation characteristics, while there are stiction phenomena of the contacting surfaces in many cases. When the relative velocity is zero or close to zero, the contact force of mechanism based on the LuGre friction model is significantly lower than that based on the modified coulomb friction model. Clearance size and friction coefficient obviously affect dynamic behavior of the mechanism.

scholarly journals Asymmetric and chaotic responses of dry friction oscillators with different static and kinetic coefficients of friction

Meccanica ◽  
2021 ◽  
Author(s):  
Gábor Csernák ◽  
Gábor Licskó
Keyword(s):  
Dry Friction ◽  
Continuation Method ◽  
Friction Model ◽  
Lugre Friction Model ◽  
Kinetic Coefficients ◽  
Friction Oscillator ◽  
Lugre Friction ◽  
Friction Parameters ◽  
Two Parameter ◽  
Parameter Bifurcation

AbstractThe responses of a simple harmonically excited dry friction oscillator are analysed in the case when the coefficients of static and kinetic coefficients of friction are different. One- and two-parameter bifurcation curves are determined at suitable parameters by continuation method and the largest Lyapunov exponents of the obtained solutions are estimated. It is shown that chaotic solutions can occur in broad parameter domains—even at realistic friction parameters—that are tightly enclosed by well-defined two-parameter bifurcation curves. The performed analysis also reveals that chaotic trajectories are bifurcating from special asymmetric solutions. To check the robustness of the qualitative results, characteristic bifurcation branches of two slightly modified oscillators are also determined: one with a higher harmonic in the excitation, and another one where Coulomb friction is exchanged by a corresponding LuGre friction model. The qualitative agreement of the diagrams supports the validity of the results.

A Novel Trans-Scale Precision Positioning Stage Based on the Stick-Slip Effect

2012 ◽  
Vol 2 (2) ◽  
pp. 1-14 ◽  
Author(s):  
Bowen Zhong ◽  
Liguo Chen ◽  
Zhenhua Wang ◽  
Lining Sun
Keyword(s):  
Friction Model ◽  
Slip Effect ◽  
Precision Positioning ◽  
Stick Slip ◽  
Kinematics Model ◽  
Lugre Friction Model ◽  
Positioning Stage ◽  
Simulation Results ◽  
Relationship Of ◽  
The Relationship

This article focuses on developing a novel trans-scale precision positioning stage based on the stick-slip effect. The stick-slip effect is introduced and the rigid kinematics model of the stick-slip driving is established. The forward and return displacement equations of each step of the stick-slip driving are deduced. The relationship of return displacement and the acceleration produced by friction are obtained according to displacement equations. Combining with LuGre friction model, the flexible dynamics model of the stick-slip driving is established and simulated by using Simulink software. Simulation results show that the backward displacement will reduce with the acceleration of the slider produced by dynamic friction force, the rigid kinematics model is also verified by simulation results which are explained in further detail in the article.

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