• Title/Summary/Keyword: contact stiffness

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Analytical Theory of Ball Bearing Considering Waviness of Rolling Elements (구름요소의 Waviness 를 고려한 볼베어링 해석 이론)

  • 정성원;장건희
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.7
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    • pp.275-286
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    • 2001
  • The research presents an analytical theory to calculate the characteristics of the bal bearing with waviness in its rolling elements considering the centrifugal force and gyroscopic moment of bal. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. and the waviness of rolling elements is modeled by sinusoidal function to calculate the contact force at each ball. The numerical solutions of governing equation of berating due to waviness are calculated by using the Newton-Raphson method. The accuracy of the research is validated by comparing the contact force. contact angle in case of considering the centrifugal force and gyroscopic moment of bal and the contact force and vibration frequencies in cases of considering waviness with the prior researches respectively. It investigates the stiffness, contact force. displacement and vibration frequencies of the ball bearing considering not only the centrifugal force and gyroscopic moment of ball but also the waviness of the rolling elements.

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A Study on the dynamic characteristics of rotor systems supported by angular contact ball bearings with the axial displacement preload varied (각접촉 볼 베어링의 정위치 예압 변화에 따른 회전체 계 동특성 변화 연구)

  • 강중옥;홍성욱
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.389-392
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    • 1997
  • This paper presents the dynamic analysis and experiment for rotor systems supported by angular contact ball bearings subjected to axial displacement preload. A dynamic software, which has been developed by the authors for the analysis of rotor systems supported by angular contact ball bearings, is used to simulate a uniform shaft system supported by two angular contact ball bearings with the axial displacement preload varied. Experiments are also performed to validate the simulation. An experimental system is constructed which consists of a uniform shaft, two bearings and a device for adjusting the axial displacement preload. Through a series of simulation and experiment, the dynamic characteristics of rotor systems with angular contact ball bearings subject to axial displacement preload are investigated.

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접촉결합부를 갖는 원통구조물의 열적,동적 특성 연구

  • 김선민;이선규
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.244-249
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    • 1997
  • Internal and external heat sources will cause to deform to machine elements in the contact joint of structure,which results in the change of contact pressure distribution different from initial assembly. Heat induced variations of contact pressure will change the static and dynamic properties such as contact stiffness,damping as well as contact heat conduction in the structure. In order to design and control the intelligent machine tool operating in variant conditions more sophisticatedly, the good prediction for the changes of prescribed propeties are strongly required especially in the contact elements adjacent to the rotational or linear bearing This paper presents some computational and experimental results in regard to static and dynamic characteristics of the press-fitted bush and shaft assembly which is a model of the bearing innerrace and shaft assembly. In the condition of heat generation on the outer surface of the bush,the effects of changes in the negative clearance and the heat flux on pressure distribution and dynamic properties are investigated. Results of this study show that the edge effect of the bush and the initial clearance have effects on the transient dynamic characteristics significantiy.

A Study on the Method for Reducing the Noise of the Progressive Multi-Leaf Spring (Progressive Multi-Leaf Spring의 소음저감 방안에 관한 연구)

  • Kim, Sung-Soo;Moon, Won-Kyu;Yoo, Young-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.636-642
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    • 2000
  • A method for reducing the contact noise of the Progressive Multi-Leaf Spring was investigated. It was found that the contact noise between the main and the help springs is the main source of the noise through our experiments. The conclusions from our experiments were compared with those from our numerical analysis by use of ABAQUS. The main parameters for the unexpected noise in the leaf spring were investigated through structural analysis to make describing noise generation. The contact process between the two leaves is examined by numerical calculations by ABAQUS. The noise produced by the leaf spring could be dramatically reduced by changing the shape of help spring so as to remove a translational jump of the contact point between the main and the help springs. Even with the help spring of the new proposed shape the stiffness of the whole spring did not change much.

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Reflection and Transmission Characteristics of Oblique-Incidence Ultrasonic Waves at Solid-Solid Contact Interfaces (고체-고체 접촉계면에서 경사입사 초음파의 반사·투과 특성 분석)

  • Nam, Tae-Hyung;Kim, Chung-Seok;Lee, Tae-Hun;Jhang, Kyung-Young;Kim, Noh-Yu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.9
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    • pp.1113-1118
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    • 2011
  • In order to evaluate the characteristics of solid-solid contact interfaces, reflection or transmission techniques involving normal-incidence longitudinal waves are generally used. However, these normal-incidence techniques are of limited use in field applications such as in the inspection of welded parts. The oblique-incidence ultrasonic technique may be an alternative for overcoming these problems. However, in this technique, the mode conversion at the contact interfaces should be taken into account along with the normal and tangential interface stiffness. In this study, we have suggested a theoretical model for obliqueincidence ultrasonic waves at the contact interfaces and analyzed their reflection and transmission characteristics. Experimental results showed that the measured reflection coefficient and second harmonic wave agreed well with the suggested theoretical model. Consequently, the oblique-incidence technique can be a promising method for evaluating the characteristics of the contact interfaces.

Analysis of Contact Resonance Frequency Characteristics for Cantilever of Ultrasonic-AFM Using Finite Element Method (유한요소 해석을 이용한 초음파원자현미경 캔틸레버의 접촉 공진주파수 특성 분석)

  • Lee, Joo Min;Han, You Ha;Kwak, Dong Ryul;Park, Ik Keun
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.5
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    • pp.478-484
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    • 2014
  • Ultrasonic atomic force microscopy(Ultrasonic-AFM) can be used to obtain images of the elastic properties of a subsurface and to evaluate the elastic properties by measuring the contact resonance frequency. When a tip is in contact with the sample, it is necessary to understand the cantilever behavior and the tip-sample interaction for the quantitative and reliable analysis. Therefore, precise analysis models that can accurately simulate the tip-sample contact are required; these can serve as good references for predicting the contact resonance frequency. In this study, modal analyses of the first four modes were performed to calculate the contact resonance frequency by using a spring model, and the deformed shapes of the cantilever were visualized at each mode. We presented the contact characteristics of the cantilever with a variety of contact conditions by applying the contact area, contact material thickness, and material properties as the parameters for the FEM analysis.

Lateral deformation capacity and stability of layer-bonded scrap tire rubber pad isolators under combined compressive and shear loading

  • Mishra, Huma Kanta;Igarashi, Akira
    • Structural Engineering and Mechanics
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    • v.48 no.4
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    • pp.479-500
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    • 2013
  • This paper presents the experimental as well as analytical study conducted on layer-bonded scrap tire rubber pad (STRP) isolators to develop low-cost seismic isolators applicable to structures in developing countries. The STRP specimen samples were produced by stacking the STRP layers one on top of another with the application of adhesive. In unbonded application, the STRP bearings were placed between the substructure and superstructure without fastening between the contact surfaces which allows roll-off of the contact supports. The vertical compression and horizontal shear tests were conducted with varying axial loads. These results were used to compute the different mechanical properties of the STRP isolators including vertical stiffness, horizontal effective stiffness, average horizontal stiffness and effective damping ratios. The load-displacement relationships of STRP isolators obtained by experimental and finite element analysis results were found to be in close agreement. The tested STRP samples show energy dissipation capacity considerably greater than the natural rubber bearings. The layer-bonded STRP isolators serve positive incremental force resisting capacity up to the shear strain level of 150%.

Lateral Force Calibration of Colloidal Probe in Liquid Environment Using Reference Cantilever (기준 외팔보를 이용한 액체 환경에서 Colloidal Probe의 수평방향 힘 교정)

  • Je, Youngwan;Chung, Koo-Hyun
    • Tribology and Lubricants
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    • v.29 no.3
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    • pp.160-166
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    • 2013
  • There is an indispensable need for force calibration for quantitative nanoscale force measurement using atomic force microscopy. Calibrating the normal force is relatively straightforward, whereas doing so for the lateral force is often complicated because of the difficulty in determining the optical lever sensitivity. In particular, the lateral force calibration of a colloidal probe in a liquid environment often has a larger uncertainty as a result of the effects of the epoxy, the location of the colloidal particle on the cantilever, and a decrease in the quality factor. In this work, the lateral force of a colloidal probe using a reference cantilever with a known spring constant was calibrated in a liquid environment. By obtaining the spring constant and the lateral sensitivity at the equator of a spherical colloidal particle, the damage to the bottom surface of the colloidal particle could be eliminated. Further, it was shown that the effect of the contact stiffness on the determination of the lateral spring constant of the cantilever could be minimized. It was concluded that this method can be effectively used for the lateral force calibration of a colloidal probe in a liquid environment.

Numerical model for bolted T-stubs with two bolt rows

  • Daidie, Alain;Chakhari, Jamel;Zghal, Ali
    • Structural Engineering and Mechanics
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    • v.26 no.3
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    • pp.343-361
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    • 2007
  • This article presents a numerical tool for dimensioning two-threaded fasteners connecting prismatic parts subjected to fatigue tension loads that are coplanar with the screw axis. A simplified numerical model is developed from unidirectional finite elements, modeling the connected parts and screws with bent elements and the elastic contact layer between the parts with springs. An algorithm updating the contact stiffness matrix, calculating forces and displacements at each node of the structure and thus normal stresses in the screws in both static and fatigue is further developed using C language. An experimental study is also conducted in parallel with the numerical approach to validate the developed model assumptions, the numerical model and the 3D finite element results. Since stiffness values for the compressive zones in the parts are analytically difficult to determine, a statistical software method is used, from which a tuning factor is derived for identifying these stiffness values. The method is also applied to set out the influence of each parameter on the fatigue behaviour of each screw. Finally, the developed model will be used to establish a new, sophisticated, fast and accurate tool for dimensioning bolted mechanical structures.

Molecular Dynamics Simulation of Contact Process in AFM/FFM Surface Observation

  • Shimizu, J.;Zhou, L.;Eda, H.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.61-62
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    • 2002
  • In order to clarify the contact mechanism between specimen surface and probe tip in the surface observation by the AFM (atomic force microscope) or the FFM (friction force microscope), several molecular dynamics simulations have been performed. In the simulation, a 3-dimensional simulation model is proposed where the specimen and the probe are assumed to consist of mono-crystal line copper and a carbon atom respectively and the effect of cantilever stiffness is also taken into considered. The surface observation process on a well-defined Cu{100} is simulated. The influences of cantilever stiffness on the reactive force images and the behavior of probe tip were evaluated. As a resuIt, several phenomena similar to those observed by the actual surface observation experiment, such as double-slip behavior and dispersion in the stick-slip wave period were observed.

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