• Title/Summary/Keyword: Contact Problems

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An incremental convex programming model of the elastic frictional contact problems

  • Mohamed, S.A.;Helal, M.M.;Mahmoud, F.F.
    • Structural Engineering and Mechanics
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    • v.23 no.4
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    • pp.431-447
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    • 2006
  • A new incremental finite element model is developed to simulate the frictional contact of elastic bodies. The incremental convex programming method is exploited, in the framework of finite element approach, to recast the variational inequality principle of contact problem in a discretized form. The non-classical friction model of Oden and Pires is adopted, however, the friction effect is represented by an equivalent non-linear stiffness rather than additional constraints. Different parametric studies are worked out to address the versatility of the proposed model.

A TREATMENT OF CONTACT DISCONTINUITY FOR CENTRAL UPWIND SCHEME BY CHANGING FLUX FUNCTIONS

  • Shin, Moungin;Shin, Suyeon;Hwang, Woonjae
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.1
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    • pp.29-45
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    • 2013
  • Central schemes offer a simple and versatile approach for computing approximate solutions of nonlinear systems of hyperbolic conservation laws. However, there are large numerical dissipation in case of contact discontinuity. We study semi-discrete central upwind scheme by changing flux functions to reduce the numerical dissipation and we perform numerical computations for various problems in case of contact discontinuity.

Finite Element Analysis on the Stress Distributions in Rail-Wheel Contacts of High Speed Trains (고속전철용 레일-휠 접촉에서 응력분포에 관한 유한요소해석)

  • 김청균;김기환
    • Tribology and Lubricants
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    • v.13 no.3
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    • pp.93-101
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    • 1997
  • The numerical results on the stress distributions of rail-wheel contact problems are presented for three models in a high-speed rail system. These models which have straight and tapered (1:40 and 1:20) contact geometries between the wheelset and rail are analyzed using the finite element approach. From the simulation results we found that the tapered geometry (1:20) of railwheel contact base line showed very stable contact stress distributions for a whole contact position between the wheel and rail in a curved rail section. The FEM computed results may present an optimized slope geometry of rail-wheel contact in a high-speed railway system.

An Analysis of the Contact Problem between Mating Involute Gear Teeth Using Finite Element Method (有限要素法을 이용한 齒車의 接觸 應力 解析)

  • 이대희;최동훈;임장근;윤갑영
    • Tribology and Lubricants
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    • v.4 no.2
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    • pp.28-35
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    • 1988
  • A general and efficient algorithm is proposed for the analysis of the frictionless elastic contact problems. It utilizes a simplex-type algorithm with a modified entry rule and incoporates finite element method to obtain flexibility matrices. The algorithmic solution is compared with the Hertzian solution for the contact problem between two cylinders to prove its accuracy and the contact problem between pin and piston rod is solved and compared with the numerical results of Frankavilla and Zienkiewicz to demonstrate the generality and effectiveness of the suggested algorithm. The contact problem between mating involute gear teeth at the worst load position is considered. The computed contact stress is smaller than the result of Hertz's theory applied to the contact between two kinematically equivalent discs and the contact area is larger than that of Hertz's theory.

Wear Characteristics of Wheel/Rail Material under Dry and Wet Conditions (건식 및 수분조건에 따른 차륜/레일의 마모특성 평가)

  • Seo, Jung Won;Kwon, Suk Jin;Jun, Hyun Kyu;Lee, Dong Hyeong
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.7
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    • pp.541-549
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    • 2016
  • Rolling contact fatigue and wear on rails are inevitable in railway operations due to excessive wheel-rail contact stress. The wear is influenced by vehicle speed, contact pressure, environmental conditions, and many other factors. Speeding on a curved track causes many problems such as wear on the gauge of the rail and rolling contact fatigue. Managing environmental conditions can reduce problems on the wheel and rail interface. In this study, the wear characteristics of wheel and rail materials were investigated by twin-disc testing using various parameters. The results of the wear test indicated that the wear rate under dry conditions was larger than that under wet conditions. We found that contact fatigue damage occurred on the rail in dry conditions, however, the surface of the specimen under water remained smooth. Also, the friction coefficient in dry conditions was larger than in wet conditions.

An Object-Oriented Programming for the Boundary Element Method in Plane Elastostatic Contact Analysis (객체지향기법을 적용한 평면 정적 탄성 접촉 경계요소법)

  • Kim, Moon-Kyum;Yun, Ik-Jung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.2
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    • pp.121-131
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    • 2011
  • An object oriented programming(OOP) framework is presented to solve plane elastostatic contact problems by means of the boundary element method(BEM). Unified modeling language(UML) is chosen to describe the structure of the program without loss of generality, even though all implemented codes are written with C++. The implementation is based on computational abstractions of both mathematical and physical concepts associated with contact mechanics involving geometrical nonlinearities and the corner node problems for multi-valued traction. The overall class organization for contact analysis is discussed in detail. Numerical examples are also presented to verify the accuracy of the developed BEM program.

The Effects of Individual Psychology, Family Environment and Social Environment Factors on Adolescents' Behavior Problems (청소년의 행동문제에 영향을 미치는 요인)

  • Oh, Young-Kyung;Lee, Hyong-Sil
    • Journal of Korean Home Economics Education Association
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    • v.22 no.4
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    • pp.51-64
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    • 2010
  • The purpose of this study was to investigate the effects of individual psychology, family environment and social environment factors on adolescents' behavior problems. The subject of this study were 500 middle school students who reside in Incheon, Geonggi-Do and 483 self reported questionnaires were used for final analysis. The findings of this study suggested that there was no significant difference between male and female adolescents in externalizing behavior problems. However, it was found that female adolescents experienced more internalizing behavior problems than male adolescents. Secondly, low levels of self-control and more contact with delinquents. were associated with more externalizing behavior problems for male and female adolescents. Self-esteem, self-control, marital conflict and contact with delinquents were related to more internalizing behavior problems for male adolescents. In addition, self-esteem, parenting behavior and contact with delinquents affected female's internalizing behavior problems.

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ANALYSIS OF ELECTROWETTING DYNAMICS WITH CONSERVATIVE LEVEL SET METHOD (레벨셋 기법을 이용한 전기습윤 현상의 동적 거동에 대한 해석)

  • Park, J.K.;Hong, J.W.;Kang, K.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.84-87
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    • 2009
  • Electrowetting is a versatile tool to handle tiny droplets and forms a backbone of digital microfluidics. Numerical analysis is necessary to fully understand the dynamics of electrowetting, especially in designing electrowetting-based devices, such as liquid lenses and reflective displays. We developed a numerical method to analyze the general contact-line problems, incorporating dynamic contact angle models. The method is based on the conservative level set method to capture the interface of two fluids without loss of mass. We applied the method to the analysis of spreading process of a sessile droplet for step input voltages and oscillation of the droplet for alternating input voltages in electrowetting. The result was compared with experimental data. It is shown that contact line friction significantly affects the contact line motion and the oscillation amplitude. The pinning process of contact line was well represented by including the hysteresis effect in the contact angle models.

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Numerical Analysis of a Class of Contact Problems Involving Friction Effects in Linear Elasticity by Finite Element Methods (有限要素法 에 의한 線型彈性體 의 特定摩擦接觸問題 에 대한 數値解析)

  • 송영준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.1
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    • pp.52-63
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    • 1983
  • The purpose of the study is to find development of contact area, contact pressure and friction forces occurring at joints or connection areas inbetween structural members or mechanical parts. The problem has a pair of difficulties intrinsically; a constraint of displacement due to contact, and presence of work term by nonconservative friction force in the variational principle of the problem. Because of these difficulties, the variational principle remains in the form of inequality. It is resolved by penalty method and perturbation method making the inequality to an equality which is proper for computational purposes. A contact problem without friction is solved to find contact area and contact pressure, which are to be used as data for the analysis of the friction problem using perturbed variational principle. For numerical experiments, a Hertz problem, a rigid punch problem, and the latter one with friction effects are solved using $Q_2$-finite elements.

A Study on the Elastic-Plastic Contact Problem for Large Deformation (대변형 탄소성 접촉문제에 관한 연구)

  • 전병희
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1992.03a
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    • pp.11-26
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    • 1992
  • In this research, a numerical algorithm has been developed, which can be applied to the large deformation and large displacement contact problems between angle change have been proposed considering the change in geometric shape and rate of contact force. A set of linear simultaneous equations is constructed by adding the geometric shape change and contact conditions to the original stiffness matrix. A new method to determine time increment has been proposed based on Euler method, in which the condition to prevent the contact bodies from penetrating and overrunning each other has been taken into consideration. Practical application to contact problem is extrusion in which bodies are sliding along the contact boundary.

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