• Title/Summary/Keyword: Contact problem

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A Catenary System Analysis for Studying the Dynamic Characteristics of a High Speed Rail Pantograph

  • Han, Chang-Soo;Park, Tong-Jin;Kim, Byung-Jin;Wang, Young-Yong
    • Journal of Mechanical Science and Technology
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    • v.16 no.4
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    • pp.436-447
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    • 2002
  • In this study, the dynamic response of a catenary system that supplies electrical power to high-speed trains is investigated. One of the important problems which is accompanied by increasing the speed of a high-speed rail, is the performance of stable current collection. Another problem which has been encountered, is maintaining continuous contact force between the catenary and the pantograph without loss of panhead. The dynamic analyses of the catenary based on the Finite Element Method (FEM) are performed to develop a pantograph suitable for high speed operation. The static deflection of the catenary, the stiffness variation in contact lines, the dynamic response of the catenary undergoing the force of a constantly moving load and the contact force were calculated. It was confirmed that a catenary model is necessary to study the dynamic characteristics of the pantograph system.

Acute Effects of Prolonged 15minnute Static Stretching on Foot Contact Area Surface and Foot Pressure Changed in Young Adults (15분간의 지속적인 스트레칭이 족저압과 족저면적 변화에 미치는 영향)

  • Kuk, Jung-Seok
    • Journal of Korean Physical Therapy Science
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    • v.18 no.4
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    • pp.59-64
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    • 2011
  • Purpose : The purpose of this study was to evaluate the effects of the stretching of the calf muscles on foot pressure and contact area in young adult. Participants stood on a wedge board that was sloped between 15~25 degree for 15min. After stretching participants stood quietly on force plate, result was recorded. Participants stood on a force plate for 1 min in eye closed condition, and them the foot pressure and area was recorded. The following variables were calculated off-line: anterior and posterior foot pressure and contact area, medial and lateral foot pressure and contact area. Results showed that anterior pressure change due to stretch, but mediolateral was not significant. This result suggested that stretching of the calf muscle has the effect of increasing anterior pressure by flexibility change on calf muscle, so this effects might be effective intervention for reduce of serious problem to neurologic patients in therapy session.

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On the receding contact between a two-layer inhomogeneous laminate and a half-plane

  • Liu, Zhixin;Yan, Jie;Mi, Changwen
    • Structural Engineering and Mechanics
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    • v.66 no.3
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    • pp.329-341
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    • 2018
  • This paper considers the smooth receding contact problem between a homogeneous half-plane and a composite laminate composed of an inhomogeneously coated elastic layer. The inhomogeneity of the elastic modulus of the coating is approximated by an exponential function along the thickness dimension. The three-component structure is pressed together by either a concentrated force or uniform pressures applied at the top surface of the composite laminate. Both semianalytical and finite element analysis are performed to solve for the extent of contact and the contact pressure. In the semianalytical formulation, Fourier integral transformation of governing equations and boundary conditions leads to a singular integral equation of Cauchy-type, which can be numerically integrated by Gauss-Chebyshev quadrature to a desired degree of accuracy. In the finite element modeling, the functionally graded coating is divided into homogeneous sublayers and the shear modulus of each sublayer is assigned at its lower boundary following the predefined exponential variation. In postprocessing, the stresses of any node belonging to sublayer interfaces are averaged over its surrounding elements. The results obtained from the semianalytical analysis are successfully validated against literature results and those of the finite element modeling. Extensive parametric studies suggest the practicability of optimizing the receding contact peak stress and the extent of contact in multilayered structures by the introduction of functionally graded coatings.

Bending Fatigue Life Evaluation of Pure Copper and Copper Alloy Contact Wire (동 전차선(Cu) 및 동합금 전차선(CuSn)의 굽힘피로 수명 평가)

  • Kim, Yongseok;Li, Haochuang;Kang, Minsung;Koo, Jae-Mean;Seok, Chang-Sung;Lee, Kiwon;Kwon, Sam-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.12
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    • pp.1346-1350
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    • 2012
  • Contact wire is one of the most important components supplying electricity to railroad cars. At the beginning of the research on contact wire, wear problem caused by friction between contact wire and pantograph was considered even more important issue for the failure of contact wire. However, since several fatigue fractures were reported from Shinkansen in Japan, fatigue fracture has become another important issue for the failure of contact wire. Despite of its importance, standard of the fatigue test of contact wire has not been established yet. Thus, fatigue characteristics of contact wire is very difficult issue to evaluate quantitatively. Hence, in this study, test method simulating operating conditions of contact wire by Minsung Kang and etc. is used to evaluate the fatigue characteristics of copper alloy contact wire. Also, test results is compared with the result of Minsung Kang's research on pure copper contact wire.

Optimization of Product's Tipping Position in Designing Die Face for Manufacturing Automobile Outer Panels (차체 외판의 제작을 위한 다이페이스 설계에 있어서 제품 성형방향의 최적화)

  • 박종천;조경호;이건우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1389-1403
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    • 1993
  • A procedure has be developed to optimize the product's tipping position in designing a die face for manufacturing automobile outer panels. Two design requirements are considered in optimizing the tipping position. One is to satisfy that all the points on the product should have a uniform distribution of drawing depths. The other is to guarantee that the user-specified area on the product should first contact with the binder wrap. The problem to satisfy the design requirements described above is analogous to the flatness calculation problem in the area of metrology if some constraints can be imposed. Thus the problem can be solved by the simulated annealing method, which is one of the optimization methods. The developed procedure was tested with the real die face design problem and the usefulness was verified by the diagram of the drawing depth.

Relationship between Interdental Papilla Existence & Distance from Interdental Alveolar Crest to Contact Point in the Posterior Dentition of Korean adults (한국인 구치열에서 치간유두 존재와 치아접촉점과 치간골 거리와의 관계)

  • Kim, Hyun-Chul;Jeon, Yong-Seon;Chang, Moon-Taek;Kim, Hyung-Seop;Park, Jung-Mi
    • Journal of Periodontal and Implant Science
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    • v.31 no.3
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    • pp.625-631
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    • 2001
  • The anatomic structure around interproximal area plays an important role not only in the natural teeth, but also in the implant. The loss of papilla can lead to cosmetic deformity, phonetic problem, food impaction on the anterior dentition, and masticatory problem, food impaction and proximal caries on the posterior dentition. The purpose of this study was to evaluate the relationship between interdental papilla existence and distance from contact point to alveolar crest in Korean posteior dentition. 45 Korean adult patients(31males, 14 females) participated in this study. Measurements were carreid out total 126 interproximal areas, 18 first premolar, 31 second premolar, 40 first molar, and 37 second molar areas. Papilla index was recorded as suggested by Jemt. Distance between contact point and alveolar crest measrued by Florida $probe^{R}$, after flap elevation. Each distance was measured 10 times by every 0.1mm unit. The results showed that the mean Papilla index 1.37 and mean distance between contact point and alveolar crest was 7.44mm. The correlation between the Papilla index and distance was high negative correlation(Pearson correlation=-0.47), and it was statistically significant(P=0.000) When the distance between contact point and alveolar crest was 5mm, the loss of papilla was appeared almost in half cases. When the distance was 6mm, the papilla loss was present 95%, when 7mm, the papilla loss was 100%.

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Finite Element Analysis of the Tire Contact Problem (타이어 접지문제의 유한요소 응력해석)

  • Han, Y.H.;Kim, Y.H.;Huh, H.;Kwak, Y.K.
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.5
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    • pp.820-830
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    • 1989
  • The tire inflation and contact problem has been solved by a finite element method. The finite element formulation is derived from the equilibrium equations by the principle of virtual work in the form of an updated Lagrangian formulation for incremental analysis. Then, a contact formulation is added to the finite element formulation to calculate stress state of tire in contact with flat rigid road under the load due to the self-weight of a vehicle. In the finite element analysis, equations of effective material properties are introduced to analyze a plane strain model of the shell-like tire by considering the bending effect of reinforced steel cords. The proposed equations of effective material properties produced stress concentration around the edge of belt layers, which does not appear when other well-known equations of material properties are adopted. The result from the above algorithm demonstrates the validity of the formulation and the proposed equations for the effective elastic constants. The result fully interprets the cause of separation between belt layers by showing the stress concentration.

INFLUENCE OF CAPILLARITY AND ELASTICITY ON MICRO-CONTACTS

  • Zheng, J.;Streator, J.L.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.65-66
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    • 2002
  • One aspect of the stiction problem may be explained by the action of capillary forces in conjunction with surface elasticity. In the present work, the interaction between two elastic half-spaces separated by a small liquid bridge is investigated. By minimizing the total free energy stored in the interface (including elastic energy and surface energy), the equilibrium interface geometry is determined analytically in the case where there is no solid-solid contact. A non-dimensional number, $N_c=299\frac{{\gamma}^2_{LA}cos^2{\theta}V_o}{E^{'2}H^5}$ is found to govern the structure stability. When $N_c{\ge}1$, the two surfaces jump into solid-solid contact and, once this occurs, the contact area will continue to expand until the two surfaces are in full contact.

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Wear characteristics depended on Wear Index in Wheel-Rail Interface (차륜 답면과 레일의 경계영역에서의 마모 특성)

  • Ahn, Jong-Gon;Kwon, Seok-Jin;Son, Young-Jin;Kim, Ho-Kyung
    • Proceedings of the KSR Conference
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    • 2011.05a
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    • pp.560-567
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    • 2011
  • Wheel and rail wear is a fundamental and complicate problem in railway field. The life of railway is usually limited by wear. The wheel surface is subjected to high normal and tangential contact stress. The removal of material from the surface by wear is function of the sliding and contact stress. In the present paper, the wear characteristic depended on slip rate, contact pressure and temperature are investigated and is used to twin disc tester. The result shows that the wear in wheel-rail interface is remarkably depended on slip rate and contact pressure.

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Wear Characteristics Depended on Wear Index in Wheel-Rail Interface (차륜 답면과 레일의 경계영역에서의 마모 특성)

  • Kim, Moon-Ki;Ahn, Jong-Gon;Kim, Sung-Kwon;Kwon, Seok-Jin;Lee, Hi-Sung
    • Proceedings of the KSR Conference
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    • 2011.10a
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    • pp.1000-1007
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    • 2011
  • Wheel and rail wear is a fundamental and complicate problem in railway field. The life of railway is usually limited by wear. The wheel surface is subjected to high normal and tangential contact stress. The removal of material from the surface by wear is function of the sliding and contact stress. In the present paper, the wear characteristic depended on slip rate, contact pressure and temperature are investigated and is used to twin disc tester. The result shows that the wear in wheel-rail interface is remarkably depended on slip rate and contact pressure.

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