• Title/Summary/Keyword: eccentricity

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A Study on the Vibration Analysis of Multi-components Damaged Ball Bearing under Radial Load (반경하중을 받는 결함 볼베어링의 진동해석에 관한 연구)

  • 김영주;전효중
    • Journal of Advanced Marine Engineering and Technology
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    • v.12 no.3
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    • pp.29-42
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    • 1988
  • With the Hertzian contact theory, it is possible to determine the bearing load distributing pattern among the balls and rollers and also variations of the load-displacement relationships for rolling elements contacting raceways according to bearing clearance, load distribution, contact forces and dimensions of bearing components (i.e diameter of raceway and rolling elements), etc. In this paper the calculation theories of contact load and normal approach between two raceways under radial load are reviewed, and compared these calculation results with those of experimental results. A new calculation theory for elastic displacement of outer-race of ball bearing under radial load is developed by authors by application of energy method, which is independent on the effects of roughness, bending or eccentricity of bearing with driving shaft, and is effective in measuring the location of its defect.

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Calculation of stress intensity factor considering out-of-plane bending for a patched crack with finite thickness (유한두께를 가지는 보강된 균열평판에 대한 면외굽힘을 고려한 응력강도계수 계산)

  • Kim, Jong-Ho;Lee, Soon-Bok
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.165-169
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    • 2000
  • A simple method was suggested to calculate the stress intensity factor for a one-sided patched crack with finite thickness. To consider out-of-plane bending effect resulting from the load-path eccentricity, the spring constant as a function of the through-thickness coordinate z was calculated from the stress distribution in the un-cracked plate, ${\sigma}_{yy}(y=0,\;z)$, and the displacement for the representative single strip Joint, $u_y(y=0,\;z)$. The stress Intensity factors were obtained using Rose's asymptotic solution approach and compared with the finite element results. In short crack region, two results had a little difference. However, two results were almost same in long crack region. On the other hand, the stress intensity factor using plane stress assumption was more similar to finite element result than plane strain condition.

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A Study on The Load Capacity of Doubly-Stepped Journal Bearing (공기윤활베어링의 부하용량 증대에 관한 연구)

  • ;;Kim, Hho Jung
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.3 no.1
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    • pp.35-41
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    • 1979
  • In order to improve the load capacity of externally pressurized air-lubeicatedjournal bearings, a new type(doubly-stepped type) bearing was revised and experimented. Through the results of experiment, the load capacity of doubly-stepped bearings was discussed and compared with equivalent conventional circular journal bearings. Results were obtained for speed up to 18000rpm and for supply pressure ratio(Ps/Pa) 4.8,6,7. Compared with equivalent conventional bearings, doubly-stepped bearings resultd a high gain in load capacity. It is also shown that the increasing rate of load capacith increases with decreasing the eccentricity ratio. Furthermore, the increasing rate is higher in the case of great clearanceratio than small dleatance ratio of doubly-stepped bearings. Such an increase in load capacity is confirmed by pressure distributions in the bearings.

Radiation - Natural Convection Interactions in Concentric and Eccentric Horizontal Annuli (동섬 및 편섬된 두 수형원판 사이의 환상유로에서의 복사와 자연대류간의 상호작용)

  • Han, Cho Young;Baek, Seung Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.12
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    • pp.1796-1804
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    • 1998
  • A numerical investigation has been performed to discuss the radiation-affected steady-laminar natural convection induced by a hot inner cylinder under a large temperature difference in the annuli filled with a gray gas. To examine the effects of thermal radiation on thermo-fluid dynamic behaviors in the eccentric geometry, the generalized body-fitted coordinate system is introduced while the finite volume method (FVM) is used for solving the radiative transport equation. After validating the numerical results for the case without radiation, the detailed radiation effect has been discussed. Based on the results of this study, when there exists a large temperature difference between two cylinders, the existence of radiatively participating medium is found to incur a distinct difference in fluid dynamic as well as thermal behavior.

A Study on the Relationship of Surface Shape and Tool Runout in the Ball-End Milling (경사면 가공에서 공구의 런아웃과 표면 형상과의 관계에 관한 연구)

  • 박희범
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.591-596
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    • 1999
  • Due to the development of CNC machining centers and the complexity of machined part geometry, the ball-end milling became the most widely used the cutting process. Generally, the tool runout defined as the eccentricity of a rotating tool set in the holder involved the spindle runout and the problem of tool runout generated to remove the workpiece is a main factor affecting the machining accuracy. In this paper, the relationship of tool runout(zero-to-peak, P-K) and surface shape on the change of cutting conditions is studied and it is proposed the probability of prediction of surface shape from the in-process tool runout measurements with high response displacement sensor in the ball-end milling

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The reinterpretation and the visualization of Pappus' methods for trisecting the angle (Pappus 가 보인 일반각의 3등분문제 해결의 재조명과 시각화)

  • Kim, Hyang Sook;Kim, Yang;Pak, Jin Suk
    • East Asian mathematical journal
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    • v.34 no.2
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    • pp.219-238
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    • 2018
  • The purpose of this paper is to reinterpret and visualize Pappus' methods for trisecting the angle by utilizing the Nicomedes' conchoid and Apollonius' symptom of a hyperbola. In particular, we reinterpret the Pappus' three results which are the methods of hyperbola and circle, the trisection of the arc and focus and directrix of the hyperbola by 3 steps(analysis, construction, and proof) in the current middle school curriculum of Mathematics. Moreover, we visualize the construction of an hyperbola which is represented by means of an eccentricity.

The Static Characteristics of Hydrostatic Journal Bearings (정압저어널 베어링의 정특성 해석)

  • Park, Cheon-Hong;Kim, Seok-Il;Lee, Hu-Sang
    • 한국기계연구소 소보
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    • s.18
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    • pp.21-27
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    • 1988
  • In this study, a series of experiments and analyses are performed to estimate the static characteristics of hydrostatic journal bearing such as load capacity, pressure change in each recess, eccentricity of spindle, etc. The experiments are carried out for a multi-recess type journal bearing with capillary restrictor. The Finite Element Method(FEM) is used for the analyses. The predicted load capacity under the condition of stationary or eccentric ratio of bellow 0.2 of the spindle shows excellent agreement with the measured. But, with an increase of the eccentric ratio when the spindle is rotating, the predicted load capacity is largely estimated than the measured. It seems that the difference is mainly caused among others from the fact that the effect of oil-viscosity variation due to the temperature change in the bearing is not introduced into the analyses. The analysis method proposed to estimate the static characteristics of hydrostatic journal bearing is considered to be very reliable since the predicted results are overall in good agreement with the measured.

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Transient Response of Composite Cylindrical Shells with Ring Stiffeners (링보강 복합재료 원통셸의 과도응답)

  • Kim, Young-Wann;Chung, Kang;Park, Kyung-Jo
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.883-888
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    • 2001
  • The theoretical method is developed to investigate the effects of ring stiffeners on free vibration characteristics and transient response for the ring stiffened composite cylindrical shells subjected to the impulse pressure loading. In the theoretical procedure, the Love's thin shell theory combined with the discrete stiffener theory to consider the ring stiffening effect is adopted to formulate the theoretical model. The concentric or eccentric ring stiffeners are laminated with composite and have the uniform rectangular cross section. The modal analysis technique is used to develop the analytical solutions of the transient problem. The analysis is based on an expansion of the loads, displacements in the double Fourier series that satisfy the boundary conditions. The effect of stiffener's eccentricity, number, size, and position on transient response of the shells is examined. The theoretical results are verified by comparison with FEM results.

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An Eccentric Degenerated Shell Element for the Geometrically Nonlinear Analysis of Stiffened Structures (보강된 구조물의 기하학적 비선형 해석을 위한 편심 응축 셸 요소)

  • Lee, Won-Jae;Lee, Byeong-Chae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1721-1730
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    • 2000
  • An eccentric degenerated shell element with geometric non-linearity for the precise and efficient analysis of stiffened shell structures is developed. To deal with the eccentricity, we define the e ccentric shell and the master shell that constitute one combined shell. It is assumed that the sections remain plane after deformation. The internal force vector and the tangent stiffness matrix based on the virtual work principle in the natural coordinate system are derived. To enhance the robustness of the element, assumed strain method for transverse shear and membrane strains is used. Through numerical experiments the effectiveness of the proposed element is demonstrated.

Anti-Vibration Control of Active Magnetic Bearing (축 편심 질량 보상을 통한 능동 자기 베어링 시스템의 진동 저감)

  • Lee, Wook-Jin;Oh, Seung-Suk;Cheong, Dal-Ho
    • Proceedings of the KIPE Conference
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    • 2010.07a
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    • pp.538-539
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    • 2010
  • 자기 베어링 시스템은 축과 베어링간의 자기적 힘을 이용하여 축을 비접촉으로 지지함으로써 고속으로 회전하는 회전체의 마찰손을 저감시킨다. 고속 회전체에 편심(Eccentricity)이 있을 경우 편심 질량으로 인한 원심력이 속도의 제곱에 비례하여 발생하게 되고, 축을 지지하고 있는 베어링에 과도한 진동을 유발하게 된다. 베어링에 전해지는 진동이 커지게 되면 진동 자체도 문제일 뿐 아니라 베어링이 부담해야 하는 힘의 크기가 커지게 되어 자기 베어링 및 이를 구동하는 전력전자 기기의 용량을 증가시켜야 하는 문제가 있다. 본 논문에서는 베어링의 지지력을 능동적으로 제어하는 능동 자기 베어링을 사용하여 축의 편심 질량의 크기 및 편심 위치를 파악하고 회전 관성 중심점으로 축을 회전시킴으로써 회전 진동을 저감하는 방법을 제안하고, 실험 결과로써 제안된 방법의 타당성을 검증한다.

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