• Title/Summary/Keyword: friction law

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Resolving the Inconsistency of Rigid Body Frictional Mechanics $-L\ddot{o}tstedt$'s Sliding Rod (마찰력이 개재된 강체역학에서 불일치의 해소 $-L\ddot{o}tstedt$의 미끄러지는 막대)

  • 한인환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.866-875
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    • 1994
  • The problem of a rigid rod sliding on a rough horizontal surface in the plane is analyzed, which is commonly cited as an example of the inconsistency of rigid body frictional mechanics. The inconsistency is demonstrated by analyzing the normal reaction force at the contact point with the surface, and the concept of tangential collision is derived to resolve the inconsistency. Using the Poisson's hypothesis for the coefficient of restitution and Coulomb's law for the friction, the general methodology for solving the tangential collision is presented. The problem of the inconsistency generated in the sliding rod is completely resolved, building the concept of the tangential collision and adopting the theory of frictional impact. The result presented in this paper will obviate a generic obstacle to the development of simulation packages for planar rigid body mechanical systems with temporary contacts, and planning efficient motion strategies for robot manipulators.

Analysis and Propagation Behavior of Dissimilar Friction Welded Materials for Fatigue Crack in around Interface (이종마찰압접 계면근방에서의 피로균열의 전파거동 및 해석)

  • 오환섭
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1998.10a
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    • pp.140-145
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    • 1998
  • In this study, analysis for fatigue crack propagation behavior of interface and aroud interface under rotary bending stress. Though K values are nearly the same in around interface by BEM 2-D, fatigue crack propagated H.A.Z. Around Interface crack propagation speed is m=0.678 in H.A.Z by Paris' law. In this case(friction welded materials: STS304, SM15C), fatigue crack growth is considered SM15C metal microstructure and elastic flow from this result. Result is more metal microstructute dependence than stress dependence by analysis (BEM 3-D, BEM 2-D) and fatigue crack propagation

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Explicit Design of Uniformly Rough Pipe

  • Yoo, Dong-Hoon
    • Korean Journal of Hydrosciences
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    • v.7
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    • pp.107-124
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    • 1996
  • Pipe design normally requires pump power, discharge or pipe diameter for each condition given. Due to several investigators the pipe friction factor con now be estimated by explicit way for a wide range of flow condition. In various problems of pipe design, however, the flow condition cannot be pre-determined even for a uniformly rough pipe. In these cases a lot of iterations are often required to have an accurate solution with ordinary approach. This paper presents the direct computation method of discharge and pipe diameter without any iteration process. Introducing the power law of friction factor, various non-dimensional physical numbers are derived such as power-diameter number, power-discharge number, diameter-slope number and discharge-slope number. One of the physical numbers concerned with discharge or pipe diameter can be related to a combination of the other in an explicit way.

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A Study of using Wall Function for Numerical Analysis of High Reynolds Number Turbulent Flow (고 레이놀즈수 유동의 수치해석시 벽함수 사용에 관한 연구)

  • Choi, Jung-Kyu;Kim, Hyoung-Tae
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.5
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    • pp.647-655
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    • 2010
  • In this paper, a numerical study is carried out for super-pipe, flat plate and axisymmetric body flows to investigate a validity of using wall function and high $y_1^+$ in calculation of high Reynolds number flow. The velocity profiles in boundary layer agree well with the law of the wall. And it is found that the range of $y^+$��which validated the logarithmic law of the wall grows with increasing Reynolds number. From the result, an equation is suggested that can be used to estimate a maximum $y^+$ value of validity of the log law. And the slope(1/$\kappa$) of the log region of the numerical result is larger than that of experimental data. On the other hand, as $y_1^+$ is increasing, both the friction and the pressure resistances tend to increase finely. When using $y_1^+$ value beyond the range of log law, the surface shear stress shows a significant error and the pressure resistance increases rapidly. However, when using $y_1^+$ value in the range, the computational result is reasonable. From this study, the use of the wall function with high value of $y_1^+$ can be justified for a full scale Reynolds number ship flow.

Densification behavior and grain growth of zirconia powder compacts at high temperature (지르코니아 분말 성형체의 고온 치밀화 거동과 결정립 성장)

  • Kim, H.G;Kim, K.T
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.8
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    • pp.1175-1187
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    • 1997
  • Densification behavior and grain growth of zirconia powder compacts are investigated under high temperature. Experimental data are obtained for zirconia powder under pressureless sintering, sinter forging and hot isostatic pressing. The constitutive equations by Kwon et al. are used for diffusional creep and grain growth. The constitutive equations by McMeeking and co-workers are also included to study the effect of power-law creep. These constitutive equations are implemented into a finite element program (ABAQUS) to investigate the friction effect during sinter forging and the canning effect during hot isostatic pressing. The agreements between experimental data and finite element results are very good in pressureless sintering and hot isostatic pressing, but not as good in sinter forging.

Robust control design for robots with uncertainty and joint-flexibility (불확실성 및 관절 유연성을 고려한 로봇의 견실제어기 설계)

  • M.C. Han
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.5
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    • pp.117-125
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    • 1995
  • An improved robust control law is proposed for uncertain rigid robots. The uncertainty is nonlinear and (possibly fast) time-varying. Therefore, the uncertain factors such as imperfect modeling, friction, payload change, and external disturbances are all addressed. Based on the possible bound of the uncertainty, the controller is constructed. For uncertain flexible-joint robots, some feedback control terms are then added to the proposed robust control law in order to stabilize the elastic vibrations at the joints. To show that the proposed control laws are indeed applicable, the stability study based on Lyapunov function, a singular perturbation approach, and simulation results are presented.

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Design of a Controller for Nonlinear Electrohydraulic Position Control Systems (비선형 전기유도 시스템용제어기 특성)

  • 서원모;진강규;하주식
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.1
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    • pp.63-72
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    • 1992
  • A tracking controller which can improve the performance of nonlinear electrohydraulic position control system is designed and implemented. The method is based on augmenting the system with integrators, obtaining the feedback control law which stabilizes the linear part of the original nonlinear system, and then reajusting the feedback gains using the deseribing funtion method to eliminate the limit cycle in the steady state. The proposed control law is implemented using OP amplifiers, and step and ramp response tests are carried out in the electrohydraulic servomechanism. The results show the improvement in both rransient and steady-state response.

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A Compression Behavior of Semi-Solid Material and Finite Element Analysis Considering Flow of Liquid Phase (반응용재료의 압축거동 및 액상의 유동을 고려한 유한요소해석)

  • Gang, Chung-Gil;Yun, Jong-Hun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.12
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    • pp.3715-3727
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    • 1996
  • Compression behavior of semi-solid aluminum alloys with controlled solid fractions was investigated in the present study. The stress and strain relationships were obtained from the compression test. Variations of the solid fraction distribution and the material behaviour were investigated for various friction coeffieiants and die speedsd. For a finite element analysis, the semi-solid material was described by a compressible regid viscoplastic model for the solid region and darcy's law for the liquid region. The computed results were compared with experimental data for the validity of the yield criteria.

MHD Pulsatile Flow and Heat Transfer of Two Immiscible Couple Stress Fluids Between Permeable Beds

  • Kumar, Deepak;Agarwal, Manju
    • Kyungpook Mathematical Journal
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    • v.61 no.2
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    • pp.323-351
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    • 2021
  • The present paper addresses magnetohydrodynamic pulsating flow and heat transfer of two immiscible, incompressible, and conducting couple stress fluids between two permeable beds. The flow between the permeable beds is assumed to be governed by Stokes' [28] couple stress fluid flow equations, whereas the dynamics of permeable beds is determined by Darcy's law. In this study, matching conditions were used at the fluid-fluid interface, whereas the B-J slip boundary condition was employed at the fluid-porous interface. The governing equations were solved analytically, and the expressions for velocity, temperature, mass flux, skin friction, and rate of heat transfer were obtained. The analytical expressions were numerically evaluated, and the results are presented through graphs and tables.

Development and application of FEM/GEM program for evaluating formability of stamping dies (스탬핑 금형의 성형성 평가를 위한 유한요소/기하학힘평형법 프로그램 개발과 응용)

  • Kim, J.P.;Keum, Y.T.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.3
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    • pp.80-93
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    • 1996
  • A 2-dimensional FEM/GEM program was developed under the plane strain assumption using linear line elements for analyzing stretch/draw forming operations of an arbitrarily shaped draw-die. FEM formulation adopted a new algorithm for solving force equilibrium as well as non-penetration condition simultaneously. Also, a rigid-viscoplastic material model with Hill's normal anisotropic yield condition and rate-sensitive hardening law is assumed, along with the Coulomb friction law in the contact regions. For the case of numerical divergence at nearly final forming stages, geometric force equilibrium method(GEM) is also introduced. The developed program was tested by simulating the forming processes of cylindrical punch/open die, and the drawing processes of automotive oilpan and hood inner panel in order to verify the usefulness and validity of FEM/GEM formulation. The numerical simulation verified the validity and robustness of developed program.

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