• Title/Summary/Keyword: Normal Stiffness

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Evaluation of the Sliding Frictional Characteristics at the Different Loading Mechanisms and Normal Stiffness (마찰시험기의 하중부과 방법과 수직방향 강성 변화에 따른 미끄럼 마찰특성 평가)

  • 윤의성;공호성;권오관;오재응
    • Tribology and Lubricants
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    • v.12 no.2
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    • pp.55-64
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    • 1996
  • Frictional characteristics with the change of loading method and normal stiffness at dry sliding surfaces were experimentally and theoretically evaluated in this study. For the study, a ball-on-disk typed test rig was built and implemented, which allowed a proper selection of loading mechanism and normal stiffness of the test rig. Loading method were varied from dead weight to pneumatic cylinder and spring loading, and the normal stiffness was varied by a spring of different stiffness. Test results showed that frictional characteristics at various loading methods were different even though the operating variables were the same. Discrepancy in the frictional characteristics, such as coefficient of friction and fluctuation in the normal load, were explained by the change in dynamic parameters of the test rigs. Results also showed that coefficient of friction, which defines as a ratio of frictional force divided a normal load, could be differently evaluated in the calculation when fluctuation in the normal load was significant.

Development of Stress, Load and Displacement Controlled Direct Shear Apparatus for Jointed Rock (응력, 하중, 변위제어 방식의 암석 절리면 전단시험기의 개발)

  • 김대영;천병식;서영호;이영남
    • Proceedings of the Korean Geotechical Society Conference
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    • 1999.03a
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    • pp.471-477
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    • 1999
  • A new stress, load and displacement controlled direct shear apparatus has recently been developed at the Hyundai Institute of Construction Technology This direct shear apparatus is capable of testing of rock joint under constant normal stiffness, constant normal stress or constant normal load boundary conditions. This paper describes this direct shear apparatus and illustrates results of shear tests at constant normal stress condition, constant normal load condition and constant normal stiffness condition with dental stones which have a same joint roughness and unconfined compressive strength.

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Effects of stiffness on reflection and transmission of micropolar thermoelastic waves at the interface between an elastic and micropolar generalized thermoelastic solid

  • Kumar, Rajneesh;Sharma, Nidhi;Ram, Paras
    • Structural Engineering and Mechanics
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    • v.31 no.2
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    • pp.117-135
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    • 2009
  • The reflection and transmission of micropolar thermoelastic plane waves at the interface between an elastic solid and micropolar generalized thermoelastic solid is discussed. The interface boundary conditions obtained contain interface stiffness (normal stiffness and transverse stiffness). The expressions for the reflection and transmission coefficients which are the ratios of the amplitudes of reflected and transmitted waves to the amplitude of incident waves are obtained for normal force stiffness, transverse force stiffness and welded contact. Numerical calculations have been performed for amplitude ratios of various reflected and transmitted waves. The variations of amplitude ratios with angle of incident wave have been depicted graphically. It is found that the amplitude ratios of reflected and transmitted waves are affected by the stiffness, micropolarity and thermal distribution of the media.

The Study of Stiffness Evaluation Technique for L, T Shaped Joint Structures Using Normal Modes Analysis with Lumped Mass (모드해석을 이용한 L, T 자형 구조물의 결합 강성 평가 방법에 대한 연구)

  • Hur, Deog-Jae;Jung, Jae-Yup;Cho, Yeon;Park, Tae-Won
    • Journal of KSNVE
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    • v.9 no.5
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    • pp.975-983
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    • 1999
  • This paper describes the dynamic characteristics of the joint structures in case of using the simplified beam model in the F. E. analysis. The modeling errors, when replace the shell with the beam, are investigated through F. E. normal modes analysis. Normal mode analysis were performed to obtain the natural frequencies of the L and T shaped joints with various type of channels. The results were analyzed to access the effects of the models on the accuracy of F.E. analysis by identifying the geometric factors which cause the error. The geometric factors considered are joint angle, channel length, thickness and area ratio of the hollow section to the filled one. The joint stiffness evaluation technique is developed in this study using normal modes analysis with Lumped Mass. With this method, the progressively improved results of F. E. analysis are obtained using the simplified beam model. The static and normal modes analysis are performed with the joint stiffness values obtained by the Kazunori Shimonkakis' virtual stiffness method and the proposed method and these simplified modeling errors are compared.

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Shear Load characteristics of drilled shafts considering socket-roughness in Constant Normal Stiffness(CNS) Test (일정수직강성시험을 통한 암반근입 현장타설말뚝의 주면마찰력특성분석)

  • Jeong, Sang-Seom;Jung, Woo-Hyun;Seol, Hoon-Il
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.10a
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    • pp.489-498
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    • 2005
  • In this study, the shaft resistance of drilled shafts socketed into weathered-and soft-rocks was examined by the constant normal stiffness(CNS) test. Large scale model tests were performed for different unconfined compressive strength, socket roughness, initial normal stress, and normal stiffness for identifying shear load transfer characteristics. Through comparisons with previous studies, it is found that the results by the present approach is good agreement with the general trend observed by existing empirical and analytical results.

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Linear Stability Analysis of an Out-of-plan Motion of Vibration of a Two Degree-of-freedom with Contact Stiffness (마찰기인 접촉 강성을 가지는 2-자유도계 면외 방향 진동 시스템의 선형 안정성 해석)

  • Joe, Yong-goo;Shin, Ki-hong;Lee, Hyun-young;Oh, Jae-Eung;Lee, Su-Gab
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.3 s.96
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    • pp.259-265
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    • 2005
  • 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 is equally important. Complex eigen value 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.

Prediction for Shear Behavior of the Rock Joints with Boundary Conditions using the Graphic Method (Graphic 방법을 이용한 암반의 경계조건에 따른 절리면 전단거동 예측)

  • Kim Yong Jun;Lee Jeong Hark;Song Pum;Yeom Hyeong Jin
    • Proceedings of the KSR Conference
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    • 2003.10b
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    • pp.466-471
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    • 2003
  • The characteristics of a rock joint which influence the stability of rock mass structures, such as the cut slopes and the tunnels, are largely controlled by the conditions of the rock joint as well as its boundary conditions. Boundary conditions can be represented by assuming that the deformability(or stiffness) of the rock mass surrounding the joints is modelled by a spring with stiffness. A new direct shear apparatus is developed in this study, which adapts a servo control system using PID algorithm. This apparatus can be used to investigate the various aspects of shear characteristics of the rock joints at conditions of constant normal stress and constant normal stiffness and so on. It is possible that the behavior under the constant normal stiffness condition can be predicted by the normalized graphic method with results obtained from the tests in the constant normal stress condition.

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The Finite element with Normal Rotational Degree Freedoms (유한요소의 Normal rotation 연구)

  • Cho, Soon-Bo
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.4 s.14
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    • pp.85-89
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    • 2004
  • A frame element embedded normal to a shear wall or slab (shell element) is common in the structural systems. In that case there is a need for a membrane or shell element to have a normal rotation degree of freedom at each node in order to have a good result of stresses. Even if Many other people studied this area, All man, Cook and Sabir are representative investigators in this area. In this research paper, Sabir's methods of vertex rotation stiffness matrix in a membrane element are studied. New stiffness of vertex rotation are proposed by taking advantage of beam stiffness theory. Rectangular elements stiffness with rotational degree of freedom are compared in accuracy ratio each other.

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Modelling and Measurements of Normal and Lateral Stiffness for Atomic Force Microscopy

  • Choi, Jinnil
    • Applied Science and Convergence Technology
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    • v.23 no.5
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    • pp.240-247
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    • 2014
  • Modelling and measurements of normal and lateral stiffness for atomic force microscopy (AFM) are presented in this work. Important issues, such as element discretisation, stiffness calibration, and deflection angle are explored using the finite element (FE) model. Elements with various dimension ratios are investigated and comparisons with several mathematical models are reported to verify the accuracy of the model. Investigation of the deflection angle of a cantilever is also shown. Moreover, AFM force measurement experiments with conical and colloid probe tips are demonstrated. The relationships between force and displacement, required for stiffness measurement, in normal and lateral directions are acquired for the conical tip and the limitations of the colloid probe tip are highlighted.

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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