• Title/Summary/Keyword: Contact problem

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Vibration Behavior of a Rotating Brush Roll in Contact with a Solid Roll (강체롤과 접촉 회전하는 브러시롤의 진동 현상)

  • 허주호
    • Journal of KSNVE
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    • v.7 no.3
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    • pp.499-509
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    • 1997
  • During the process of oxide removal from work rolls in sheet metal manufacture, filamentary brushes frequently exhibit a bouncing or chatter behavior. The dynamics of this phenomenon is investigated through the development of expressions for the non-linear contact stiffness between the brush and the roll. With formulation of simple structural models, the time responses in the presence and absence of friction under random excitation are investigated. Possible solutions for the minimization or avoidance of this bouncing or chatter problem are also suggested.

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Analysis of Hertzian Contact using East Fourier Transform (FFT를 이용한 Hertzian Contact 해석)

  • 구영필;조용주
    • Tribology and Lubricants
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    • v.14 no.4
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    • pp.121-127
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    • 1998
  • In this study, a numerical procedure to solve a contact problem has been developed. The procedure takes advantage of signal processing technique in frequency domain to achieve shorter computing time. Boussinesq's equation was adopted as the response function. This procedure is applicable to a non-periodic surface profile as well as a periodic one. The validity of this procedure has been established by comparing the numerical results with the exact solutions. The fastness of this procedure was shown in comparison with other algorithm.

A finite element algorithm for contact problems with friction

  • Liu, C.H.;Hofstetter, G.;Mang, H.A.
    • Structural Engineering and Mechanics
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    • v.3 no.3
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    • pp.289-297
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    • 1995
  • A finite element algorithm for consideration of contact constraints is presented. It is characterized by introducing the geometric constraints, resulting from contact conditions, directly into the algebraic system of equations for the incremental displacements of an incremental iterative solution procedure. The usefulness of the proposed algorithm for efficient solutions of contact problems involving large displacements and large strains is demonstrated in the numerical investigation.

Analysis of discontinuous contact problem in two functionally graded layers resting on a rigid plane by using finite element method

  • Polat, Alper;Kaya, Yusuf
    • Computers and Concrete
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    • v.29 no.4
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    • pp.247-253
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    • 2022
  • In this study, the problem of discontinuous contact in two functionally graded (FG) layers resting on a rigid plane and loaded by two rigid blocks is solved by the finite element method (FEM). Separate analyzes are made for the cases where the top surfaces of the problem layers are metal, the bottom surfaces are ceramic and the top surfaces are ceramic and the bottom surfaces are metal. For the problem, it is accepted that all surfaces are frictionless. A two-dimensional FEM analysis of the problem is made by using a special macro added to the ANSYS package program The solution of this study, which has no analytical solution in the literature, is given with FEM. Analyzes are made by loading different Q and P loads on the blocks. The normal stress (σy) distributions at the interfaces of FG layers and between the substrate and the rigid plane interface are obtained. In addition, the starting and ending points of the separations between these surfaces are determined. The normal stresses (σx, σy) and shear stresses (τxy) at the point of separation are obtained along the depth. The results obtained are shown in graphics and tables. With this method, effective results are obtained in a very short time. In addition, analytically complex and long problems can be solved with this method.

Contact Stress Analysis of Helical Gear for Turbo Blower (터보블로워용 헬리컬 기어의 접촉응력 해석)

  • Hwang, Seok-Cheol;Lee, Dong-Hyong;Park, Young-Chul;Lee, Kwon-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.10 no.2
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    • pp.90-95
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    • 2011
  • This paper presents the study on the contact stress analysis of a pair of mating helical gears for turbo blower during rotation. Turbo blowers need high speed rotation of impeller in structure and high rate gear ratio. The use of helical gear indicated that noise was an important problem when the application involves high speeds and large power transmission. An example is presented to investigate the variation of contact stress on a pair of mating gears with contact positions. The variation of contact stress during rotation is compared with the contact stress at the lowest point of single tooth contact(LPSTC) and AGMA Equation for contact stress. In this study, the gear design considering the contact stress on a pair of mating gear is more severe than that of AGMA standard.

Analysis of Incipient Sliding Contact with Orthotropic Friction Condition Subjected to Tangential Load and Twisting Moment (접선하중과 비틀림모멘트를 받는 직교이방성 마찰조건의 정지미끄럼접촉 해석)

  • 이성철;곽병만;권오관
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.2026-2038
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    • 1994
  • A numerical scheme is developed for the analysis of incipient sliding contact with orthotropic friction condition subjected to tangential load and twisting moment. The inherent nonlinearity in the orthotropic friction law has been treated by a polyhedral friction law. Then, a three-dimensional linear complementarity problem(LCP) formulation in an incremental form is obtained, and the existence of a solution is investigated. A Lemke's complementary pivoting algorithm is used for solving the LCP. The scheme is illustrated by spherical contact problems, and the effects of eccentricity of elliptical friction domain on the traction and stick region are discussed.

A Novel Non-contact Heart Rate Estimation Algorithm and System with User Identification

  • Kim, Chan-Il;Kim, Hyung-Jin;Kim, Seon-Chil;Park, Hee-Jun;Lee, Jong-ha
    • IEIE Transactions on Smart Processing and Computing
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    • v.5 no.6
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    • pp.395-402
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    • 2016
  • In these days, the wearable devices have been developed for measuring biological data effectively. However, wearable devices have tissue allege and noise problem. Also, it is impossible for a remote center to identify the person whose data are measured by wearable devices, which could trigger a communication problem over treatment. To solve these problems, biometric measurement based on a non-contact method, such as face image sequencing is necessary. This makes it possible to measure biometric data without any operation and side effects. This system can monitor the biological signals of people in real time without allege and noise and simultaneously identify them. In this paper, we propose an authentication process while measuring biometric data, through a non-contact method.

Finite Element Analysis of Frictional Contact Problems Using A Contact Element (접촉요소를 사용한 마찰접촉문제의 유한요소해석)

  • Ko, Seok;Lim, Jang-Keun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.1
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    • pp.29-35
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    • 1999
  • 접촉하는 두 물체 사이의 접합부에서는 국북적인 응력집중현상이 발생하여 기계 구조물의 마멸이나 파손의 직접적인 원인이 된다. 기존의 방법들은 복잡한 수식 처리와 반복 계산 때문에 접촉특성에 따라서 해석하기에 어려움이 많았다. 본 논문에서는 마찰이 있는 접촉문제를 반복계산 없이 효과적으로 해석하기 위해서 선형상보성 접촉조건과 가상일의 원리로부터 접촉요소를 개발하여 이를 사용한 유한요소 해석발법을 제안하였다. 연구결과로 평면 및 곡면 접촉문제나 다물체 접촉문제를 기존의 해석방법에 비해 훨씬 편리하고 정확하게 접촉현상을 규명할 수 있었다.

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Dynamic response of a Timoshenko beam on a tensionless Pasternak foundation

  • Coskun, Irfan;Engin, Hasan;Tekin, Ayfer
    • Structural Engineering and Mechanics
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    • v.37 no.5
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    • pp.489-507
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    • 2011
  • The dynamic response of a Timoshenko beam on a tensionless Pasternak foundation is investigated by assuming that the beam is subjected to a concentrated harmonic load at its middle. This action results in the creation of lift-off regions between the beam and the foundation that effect the character of the response. Although small displacements for the beam and the foundation are assumed, the problem becomes nonlinear since the contact/lift-off regions are not known at the outset. The governing equations of the beam, which are coupled in deflection and rotation, are obtained in both the contact and lift-off regions. After removing the coupling, the essentials of the problem (the contact regions) are determined by using an analytical-numerical method. The results are presented in figures to demonstrate the effects of some parameters on the extent of the contact lengths and displacements. The results are also compared with those of Bernoulli-Euler, shear, and Rayleigh beams. It is observed that the solution is not unique; for a fixed value of the frequency parameter, more than one solution (contact length) exists. The contact length of the beam increases with the increase of the frequency and rotary-inertia parameters, whereas it decreases with increasing shear foundation parameter.

Contact analysis in functionally graded layer loaded with circular two punches

  • Muhammed T. Polat;Alper Polat
    • Computers and Concrete
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    • v.33 no.1
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    • pp.13-25
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    • 2024
  • In this study, contact analysis in a functionally graded (FG) layer loaded with two circular punches is solved using the finite element method (FEM). The problem is consisted of a functionally graded layer that resting on an elastic semi-infinite plane and is loaded with two rigid punches of circular geometry. External loads P and Q are transferred to the layer via two rigid punches. The finite element model of the functionally graded layer is created using the ANSYS package program and a 2-dimensional analysis of the problem is analyzed. The contact lengths, obtained as a result of the analysis are compared with the analytical solution in the literature. In the study, the effects of parameters such as distances between punches, loads, inhomogenity parameter on contact zones, initial separation loads and distances, normal stresses, stresses across depth and contact stresses are investigated. As a result, in this study, it can be said that the magnitude of the stresses occurring in the FG layer is less than the homogeneous layer, therefore the life of FG materials will be longer than the homogeneous layer. When the distance between the punches is 2.25, the initial separation distance is 6.98, and when the distance between the punches is 4, the initial separation distance decreases to 6.10. In addition, when the load increased in the second punch, the initial separation load decreased from 55 to 18. The obtained results are presented in the form of graphs and tables.