Numerical Analysis of the Ultrasonic Honing Chatter Based on the Stribeck Model

2013 ◽  
Vol 690-693 ◽  
pp. 3231-3234
Author(s):  
Jian Qing Wang ◽  
Xi Jing Zhu
Keyword(s):  
Numerical Analysis ◽  
Nonlinear System ◽  
Ultrasonic Vibration ◽  
Theoretical Basis ◽  
Dynamic Friction ◽  
Dynamics Model ◽  
Describing Function ◽  
Friction Characteristics ◽  
Power Ultrasonic ◽  
The Stability

Chatter easily occurs in machining, which is influenced by many factors. The power ultrasonic vibration honing equipment is taken as the research object. The dynamic friction is studied and the dynamics model is established based on the Stribeck model. The describing function of the ultrasonic honing friction characteristics is calculated. The stability of ultrasonic honing nonlinear system is analyzed. The conditions are studied, on which chatter occurs. The expressions of chatter amplitude and frequency are given. The research provides the theoretical basis on which chatter can be effectively avoided when ultrasonic honing equipment is designed.

Study on Friction Chatter Mechanism of Power Ultrasonic Vibration Honing Based on Stribeck Effect

2013 ◽  
Vol 328 ◽  
pp. 531-535
Author(s):  
J.Q. Wang ◽  
X.J. Zhu ◽  
Q. Cheng
Keyword(s):  
Convergence Rate ◽  
Ultrasonic Vibration ◽  
Linear Method ◽  
Positive Pressure ◽  
Dynamic Friction ◽  
Dynamics Model ◽  
Elastic Coefficient ◽  
Stribeck Effect ◽  
Phase Trajectories ◽  
Power Ultrasonic

Chatter easily occurs in machining, which is influenced by many factors. The power ultrasonic vibration honing equipment is taken as the research object, the dynamic friction, is studied and the dynamics model is established based on the Stribeck model and the phase trajectories and time responses are analyzed by piece-wise linear method in this paper. The results show that the system is stable and convergence rate is affected by the equivalent elastic coefficient k, the damping coefficient c and c1, the positive pressure value of N if the honing speedor. The system is critical stable and the values of k,c,Nsatisfy if or. So it should be considered that appropriately reduce the values of k, c, N when the system is designed.

The Single-Abrasive Coupled Flutter Model in Power Ultrasonic Honing

2015 ◽  
Vol 775 ◽  
pp. 19-22
Author(s):  
Xiao Qiang Zhang ◽  
Xi Jing Zhu ◽  
Hai Zhen Geng ◽  
Jian Qing Wang ◽  
Quan Cheng ◽  
...  
Keyword(s):  
Nonlinear System ◽  
Machine Tool ◽  
Differential Expression ◽  
Theoretical Basis ◽  
Degrees Of Freedom ◽  
Processing Quality ◽  
Excited Vibration ◽  
Power Ultrasonic ◽  
Research Objects

Flutter, a dynamic and severe self-excited vibration, easily produced in power ultrasonic honing, is one of the important factors, which affects the processing quality of the workpiece, the efficiency of the machine tool. Based on the study of power ultrasonic honing mechanism, choosing single abrasive and workpiece as research objects, respectively establishe the physical and mathematical coupled flutter model of power ultrasonic honing nonlinear system, with two degrees of freedom, determine the differential expression of the model, and simulate the boundry of flutter condition. It is proved flutter is produced in ultrasonic vibration honing, then the way is proposed to restrain. The study provide a theoretical basis for deeply seeking the strategy to repress and eliminate the flutter.

The Higher Order Asymptotic Fields for Plane Interfacial Crack with Physical Weak-Discontinuity

2011 ◽  
Vol 217-218 ◽  
pp. 1314-1318
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Peng Zhang ◽  
Jun Feng Liu
Keyword(s):  
Experimental Investigation ◽  
Numerical Analysis ◽  
Asymptotic Analysis ◽  
Theoretical Basis ◽  
Engineering Application ◽  
Interfacial Crack ◽  
Higher Order ◽  
Weak Discontinuity ◽  
Displacement Method ◽  
Asymptotic Fields

The higher order discontinuous asymptotic fields which are similar to the Williams’ solutions of homogenous material are obtained by the displacement method and asymptotic analysis for a plane crack at the physical weak-discontinuous interface in non-homogeneous materials. The results provide a theoretical basis for the numerical analysis, experimental investigation and the engineering application of physical weak-discontinuous fracture.

Numerical Investigation of the Influence of Friction Coefficient on Brake Groan

2010 ◽  
Vol 44-47 ◽  
pp. 1923-1927 ◽  
Author(s):  
Xian Jie Meng
Keyword(s):  
Nonlinear Dynamics ◽  
Friction Coefficient ◽  
Degrees Of Freedom ◽  
Equilibrium Points ◽  
Static Friction ◽  
Kinetic Friction ◽  
Dynamics Model ◽  
Excited Vibration ◽  
Nonlinear Dynamics Model ◽  
The Stability

A two degrees of freedom nonlinear dynamics model of self-excited vibration induced by dry-friction of brake disk and pads is built firstly, the stability of vibration system at the equilibrium points is analyzed using the nonlinear dynamics theory. Finally the numerical method is taken to study the impacts of friction coefficient on brake groan. The calculation result shows that with the increase of kinetic friction coefficient /or the decrease of difference value between static friction coefficient and kinetic friction coefficient can prevent or restrain self-excited vibration from happening.

scholarly journals An integral equation formulation of the N-body dielectric spheres problem. Part 1: Numerical analysis

2020 ◽  
Author(s):  
Muhammad Hassan ◽  
Benjamin Stamm
Keyword(s):  
Integral Equation ◽  
Numerical Analysis ◽  
Error Analysis ◽  
Convergence Rates ◽  
A Priori ◽  
Approximation Error ◽  
Spherical Particles ◽  
Integral Equation Formulation ◽  
Dielectric Spheres ◽  
The Stability

In this article, we analyse an integral equation of the second kind that represents the solution of N interacting dielectric spherical particles undergoing mutual polarisation. A traditional analysis can not quantify the scaling of the stability constants- and thus the approximation error- with respect to the number N of involved dielectric spheres. We develop a new a priori error analysis that demonstrates N-independent stability of the continuous and discrete formulations of the integral equation. Consequently, we obtain convergence rates that are independent of N.

Fault Control for a Class of Nonlinear System with Input Delay

2012 ◽  
Vol 482-484 ◽  
pp. 1801-1804
Author(s):  
Yang Yu ◽  
Wei Wang
Keyword(s):  
Control System ◽  
Nonlinear System ◽  
State Feedback ◽  
Fuzzy Model ◽  
Lyapunov Theory ◽  
Feedback Controller ◽  
Input Delay ◽  
State Feedback Controller ◽  
The Stability ◽  
Delay Dependent

The paper studies fuzzy fault control for a class of nonlinear system with input delay based on T-S fuzzy model. The state feedback controller that ensures the stability of fuzzy tolerant control system is given via Lyapunov theory and derived in terms of LMI and the results are delay-dependent. Simulation examples are given to illustrate the effectiveness of the approach.

Numerical analysis of the anti-seepage measures for high earth rockfill dam on deep overburden

2012 ◽  
Vol 170-173 ◽  
pp. 1872-1877 ◽  
Author(s):  
Jun Yan ◽  
Si Hong Liu ◽  
Bin Zhou
Keyword(s):  
Finite Element ◽  
Numerical Analysis ◽  
Seepage Field ◽  
Seepage Analysis ◽  
The Real ◽  
Rockfill Dam ◽  
The Stability ◽  
High Rockfill Dam ◽  
At Home

The anti-seepage measures of a high earth rockfill dam built on the foundation with a deep overburden affects the stability and safety of the dam greatly. Nowadays there are few researches on this area both at home and abroad. On the basis of the finite element seepage analysis of the Pubugou high rockfill dam in which core walls and two cut-off walls are designed as the anti-seepage measures, the real seepage behavior of the seepage field is obtained in this paper, as well as the seepage characters of the seepage field under different arrangements of the cut-off walls. The conclusions have a certain referential value for the design of the anti-seepage measures for the similar projects with the foundation of a deep overburden.

scholarly journals A mathematical model of infectious disease transmission

2020 ◽  
Vol 34 ◽  
pp. 02002
Author(s):  
Aurelia Florea ◽  
Cristian Lăzureanu
Keyword(s):  
Infectious Disease ◽  
Mathematical Model ◽  
Nonlinear System ◽  
Numerical Simulations ◽  
Disease Transmission ◽  
Three Dimensional ◽  
Type System ◽  
Epidemic Disease ◽  
Infectious Disease Transmission ◽  
The Stability

In this paper we consider a three-dimensional nonlinear system which models the dynamics of a population during an epidemic disease. The considered model is a SIS-type system in which a recovered individual automatically becomes a susceptible one. We take into account the births and deaths, and we also consider that susceptible individuals are divided into two groups: non-vaccinated and vaccinated. In addition, we assume a medical scenario in which vaccinated people take a special measure to quarantine their newborns. We study the stability of the considered system. Numerical simulations point out the behavior of the considered population.

Sign in / Sign up

Export Citation Format

Share Document