• Title/Summary/Keyword: nonlinear contact analysis

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Nonlinear Finite Element Analysis of Composite Shell Under Impact

  • Cho, Chong-Du;Zhao, Gui-Ping;Kim, Chang-Boo
    • Journal of Mechanical Science and Technology
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    • v.14 no.6
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    • pp.666-674
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    • 2000
  • Large deflection dynamic responses of laminated composite cylindrical shells under impact are analyzed by the geometrically nonlinear finite element method based on a generalized Sander's shell theory with the first order transverse shear deformation and the von-Karman large deflection assumption. A modified indentation law with inelastic indentation is employed for the contact force. The nonlinear finite element equations of motion of shell and an impactor along with the contact laws are solved numerically using Newmark's time marching integration scheme in conjunction with Akay type successive iteration in each step. The ply failure region of the laminated shell is estimated using the Tsai- Wu quadratic interaction criteria. Numerical results, including the contact force histories, deflections and strains are presented and compared with the ones by linear analysis. The effect of the radius of curvature on the composite shell behaviors is investigated and discussed.

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Dynamic Interaction Analysis of Train-bridge Considering Rail-wheel Contact Mechanism (윤축-레일 접촉메카니즘을 고려한 열차-교량 동적상호작용 해석)

  • Min, Dong-Ju;Kwark, Jong-Won;Kim, Moon-Young
    • Journal of the Korean Society for Railway
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    • v.18 no.4
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    • pp.363-373
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    • 2015
  • The purpose of this study is to develop a nonlinear algorithm for the dynamic interaction analysis of KTX trains and bridge girders with consideration of separation and flange contact phenomena between wheel and rail. For this, three interaction models between wheel-rail are implemented and compared through numerical examples. That is, the spring model and the non-jump model are briefly explained, and a nonlinear contact model is then proposed to accurately simulate interaction forces of the train-bridge system. Dynamic interaction analysis of a simply supported girder and trains is performed and the analyzed results are presented and compared for the proposed contact model and the other model types. Particularly, flange contact phenomena in the nonlinear contact model are demonstrated under a specific condition.

Dynamic Analysis of Multibody Tracked Vehicles(II) : Development of the Nonlinear Contact Force Module (다물체로 구성된 궤도차량에 대한 동적 해석(II) : 비선형 접촉력 모듈 개발)

  • 신장호;최진환;이승종
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.4
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    • pp.24-31
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    • 1998
  • In this study, a procedure is presented for the dynamic analysis of a multibody tracked vehicle system. The planar vehicle model used in this investigation is assumed to consist of two kinematically decoupled subsystems. i.e., the chassis subsystem and track subsystem. The chassis subsystem includes the chassis frame, sprocket, idler and rollers, while the track subsystem is represented as a closed kinematic chain consisting of rigid links interconnected by revolute joints. The nonlinear contact force modules describing the interaction between track links, and sprocket, idler, rollers and ground will be developed.

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Vibro-Contact Analysis of AFM Tip on Polymer Surface (폴리머 표면측정을 위한 AFM 팁의 접촉-진동 해석)

  • Hong, Sang-Hyuk;Lee, Soo-Il
    • 한국신재생에너지학회:학술대회논문집
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    • 2005.06a
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    • pp.538-541
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    • 2005
  • In tapping mode atomic force microscopy(TM-AFM). the vibro-contact response of a resonating tip is used to measure the nanoscale topology and other properties of a sample surface. However, the nonlinear tip-surface interact ions can affect the tip response and destabilize the tapping mode control. Especially it is difficult to obtain a good scanned image of high adhesion surfaces such as polymers and biomoleculars using conventional tapping mode control. In this study, theoretical and experimental investigations are made on the nonlinear dynamics and control of TM-AFM. To analyze the complex dynamics and control of the tapping tip, the classical contact models are adopted due to the surface adhesion. Also we report the surface adhesion is an additional important parameter to determine the control stability of TM-AFM. In addition, we prove that it is more adequate to use Johnson-Kendall-Roberts (JKR) contact model to obtain a reasonable tapping response in AFM for the soft and high adhesion samples.

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A Theory of Nonlinear Grinding Chatter Due to Loss of Contact between Grinding Wheel and Workpiece (接觸 離脫 現象 에 의한 非線型 硏削 채터의 解析 理論)

  • 김옥현;김성청;임영호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.6
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    • pp.706-713
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    • 1985
  • It is clear that when the amplitude of grinding chatter increases enough the contact between grinding wheel and workpiece cannot be sustained and the loss of contact occurs during a period of grinding chatter. In this paper the behavior of nonlinear grinding chatter due to the loss of contact has been studied. A nonlinear grinding chatter loop is developed where the loss of contact is considered as a nonlinear element of asymmetrical gain. The analysis is carried out in the time domain by numerical simulation and also in the complex domain by use of describing function method. The results show that two typical patterns of nonlinear grinding chatter can originate from the nonlinearity. One is an irregular chatter frequency at starting stage decreases to the natural frequency of grinding structure while the chatter amplitude increases and decreases repeatedly. The other is a limit cycle chatter of which the amplitude and frequency converge to constant and remain. This nonlinear behavior of grinding chatter has been well analyzed by the describing function method and confirmed by the numerical simulation.

A Dynamic Behavior of Rubber Component with Large Deformation (대변형을 하는 고무 부품의 동적 거동)

  • Cho Jae-Ung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.6 no.6
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    • pp.536-541
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    • 2005
  • Large displacement and rigidity about rubber component are expected by nonlinear and large deformation analysis in this study. Rubber is also used by the model of Mooney-Rivlin and the self contact between rubbers is established. There is the friction between rigid body and rubber, wall and floor. The nonlinear simulation analysis used in this study is expected to be widely applied in design, analysis and development of several rubber components which are used in automotive, railroad, and mechanical elements etc. By utilizing this method, time and cost can also be saved in developing new rubber product. The analysis of rubber components requires special material modeling and non-linear finite element analysis tools that are quite different from those used for metallic parts. The objective of this study is to analyze the rubber component with large deformation and non-linear properties.

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Large Displacement Dynamic Analysis with Frictional Contact by Linear Complementarity Formulation (선형 상보성 수식화를 이용한 마찰 접촉 대변형 동역학 문제의 해석)

  • Sung, Jae-Hyuk;Kwak, Byung-Man
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.674-679
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    • 2001
  • For a large deformation nonlinear dynamic analysis of two-dimensional frictional contact, the linear complementarity formulation combined with a linearization is used. The solution procedure is based on the total Lagrangian formulation with a predictor and corrector scheme. For contact searching, a hierarchical scheme with a circular territory is used. A second-order approximation of displacements is used to detect impact time and position. The formulation is illustrated by means of numerical examples.

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Nonlinear Analysis with contact element between old and new concrete (Contact 요소를 이용한 신.구 콘크리트의 비선형 해석)

  • Cho, Sun-Kyu;Lee, John-Sun;Jeong, Woo-Cheol;Lee, John-Shin
    • Proceedings of the KSR Conference
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    • 2007.05a
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    • pp.1050-1055
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    • 2007
  • In the case of a rail road bridge extension work, especially single track to double track, the foundation of new substructure which supports the extended part of superstructure could be interfered by the exist foundation of an old bridge. When these two foundations are jointed to prevent such fatal effects of the structure as unequal subsidence of soil foundations, it is important to prove the structural behaviour of the joining surfaces between new foundation and old foundation. 3-Dimensional Finite Element Analysis Method have been studied for the solutions of the structural behaviour of the foundations. In this analysis, 'Contact Element' which allows the sliding of each adjoining member is used for the joint of the boundary surface of the old and new pier foundations. Furthermore, Material Nonlinear Behaviour Analysis also supports the accuracy of the result in this study because the foundations consist of concrete main bodies and reinforced steel bars. These detailed analyses secure the verification of the structural safety of the foundations in the extension work more firmly.

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Analysis of Out-of-plane Motion of a Disc Brake System Considering Contact Stiffness (접촉 강성을 고려한 디스크브레이크의 면외진동 해석)

  • Joe, Yong-Goo;Oh, Jae-Eung;Shin, Ki-Hong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.597-600
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    • 2004
  • A two-degree-of-freedom out-of-plane model with contact stiffness is presented to describe dynamical interaction between the pad and disc of a disc brake system. It is assumed that the out-of-plane motion of the system depends on the friction force acting along the in-plane direction. Dynamic friction coefficient is modelled as a function of both in-plane relative velocity and out-of-plane normal force. When the friction coefficient depends only on the relative velocity, the contact stiffness has the role of negative stiffness. The results of stability analysis show that the stiffness of both pad and disc are equally important. Complex eigenvalue analysis is conducted for the case that the friction coefficient is also dependent on the normal force. The results further verify the importance of the stiffness. It has also been found that increasing the gradient of friction coefficient with respect to the normal force makes the system more unstable. Nonlinear analysis is also performed to demonstrate various responses. Comparing the responses with experimental data has shown that the proposed model may qualitatively well represent a certain type of brake noise.

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Nonlinear Analysis of Composite Basement Wall Using Contact Element (접촉면 요소를 사용한 합성 지하벽의 비선형 해석)

  • Seo, Soo Yeon;Lee, Chenggao
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.3
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    • pp.176-184
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    • 2007
  • The objective of this paper is to suggest a nonlinear analysis process to predict the structural behavior and strength of composite basement wall member combined with H-Pile. Therefore, the structural behavior of composite basement wall is studied and the special nonlinear characteristics of each elements such as H-Pile, concrete wall, and shear connectors are idealized using ATENA program. Finally, the result is compared with previous test result. Research result shows that there is a good co-relation between analysis and test results even if analysis result has little bit higher initial stiffness than test result. It can be concluded that the nonlinear behavior of composite basement wall is suitably predicted by using the contact element model in ATENA program as shear connector element.