• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 1986.06a
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• pp.26-29
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• 1986

회전축계의 강제진동으로 가장 전형적이고 공업상 중요한 것은 넓은 의미로서 불평형 진동이다. 불평형은 회전체의 제작상 피할 수 없으며 진동이 전혀 문제가 되지 않는 정도로 제작하는 것은 경제적인 면에서도 불가능하다. 지금까지 미끄럼 베어링으로 지지된 회전축계의 불평형 응답 특성에 대하여는 여러 연구자에 의해 연구가 진행되고 있다. 수중에서 운전되는 펌프는 물의 감쇠작용 때문에 축진동 문제는 적다고 생각되어 펌프의 축진동에 관한 보고는 별로 없다. Black은 펌프의 축진동을 연구하여, 시일부분이 축진동 응답에 큰 영향을 미치는 것을 보였다. 그러나 시일형상에 따른 유체력 평가가 충분히 구명되지 않았기 때문에 환상 시일부분의 틈새,폭경비 및 압력차 등이 펌프진동에 어느 정도 영향을 미치는가가 충분히 검토 되어 있지않다. 이에 저자는 펌프용 시일의 유체력에 의한 진동 특성에 관한 일련의 연구를 진행하여 각종 시일의 유체력을 해석하였고, 이 유체력이 회전축계의 안정성에 미치는 영향을 검토하였으며 범용 안정성해석 프로그램을 개발하였다.

• Journal of Advanced Marine Engineering and Technology
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• v.23 no.2
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• pp.201-209
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• 1999

This paper presents a general analytical method for analyzing mechanical unbalance response of unbalanced electromagnetic forces produced in induction motors with an eccentric rotor and a phase unbalance. The equations to be solved are a set of second order differential equations which give matrices with periodic coefficients that are a function of time due to the unbalanced electro-magnetic force. Unbalance response is processed by Newmark $\beta$ method. Two examples are given including an industrial application. The results show that the method proposed is satisfactory.

• Transactions of the Korean Society of Mechanical Engineers
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• v.13 no.3
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• pp.362-372
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• 1989

It is important in design of vertical pumps to consider external excitation in addition to rotor vibration due to unbalance. In this study, a model of a vertical pump was developed for the analysis of its dynamic response. The vertical pump was modeled with lumped masses and springs which represent multi-cylindrical and rotor structure. A dynamic simulation program was developed and numerical calculation on the above mentioned problems were carried out.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.33 no.6
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• pp.92-99
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• 2005

Numerical analyses of critical speed and mass unbalance response are performed for a 30 ton thrust turbopump. The stiffness and damping of ball bearings and non-contact seals are quantified under aerodynamic and hydrodynamic loads induced by a fuel pump and turbine. Critical speed margin and tip displacements of the rotating parts are evaluated using a three-dimensional finite element method. The results are used to ensure the soundness of the rotordynamic design using an one-dimensional transfer matrix method. A further study shows that sufficient resonance margin may be assured via controlling the stiffness of the rotor support by employing an additional elastic ring to the bearing support.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2007.11a
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• pp.1022-1027
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• 2007

This paper presents a method to analyze the unbalance response of a high speed polygon mirror scanner motor supported by sintered metal bearing and flexible structures by using the finite element method and the mode superposition method considering the asymmetry of the gyroscopic effect and sintered metal bearing. The eigenvalues and eigenvectors are calculated by solving the eigenvalue problem and the adjoint eigenvalue problem by using the restarted Arnoldi iteration method. The decoupled equations of motion can be obtained from global finite element motion equations by using the orthogonal relation between the right eigenvectors and left eigenvectors. The decoupled equations of motion are used to analyze the unbalance response of a high speed polygon mirror scanner motor. The validity of the proposed method is verified by comparing the simulated unbalance response with the experimental results.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2012.04a
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• pp.644-645
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• 2012

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.22 no.7
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• pp.642-649
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• 2012

This paper deals with a copper die casting induction motor which has several advantages of motor performance. The developed motor is used as spindle motor in machining center. The dynamic characteristic analysis of rotor is dealt with for precision machining. The critical speed of rotor considering rotation and gyroscopic effect should be above operating speed, 18,000 rpm, and have a 201 % sufficient separation margin. Also, the 3-D unbalance vibration response analysis is performed and enabled the prediction of the expected vibration amplitude by unbalance in high speed. The unbalance vibration responses of each position on the rotor are satisfied with allowable vibration displacement of API 611 standard according to balancing G grade(G 0.4, G 2.5, G 6.3). Copper die casting high speed induction motor is successfully developed and verified by experiment.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.36 no.4
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• pp.429-435
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• 2012

An abrasion due to continuous friction between a work roll and strip causes the mass of the work roll to be unbalanced in the rolling process. We developed a mathematical model for the rolling mill considering the unbalanced mass and verified the model experimentally. The work roll was approximated as a rigid rotor with eccentricity, and the effect of the unbalanced mass on chatter vibration was investigated. The joint forces computed by quasistatic analysis were applied to the work roll in the rolling mill. Transient responses were obtained, and frequency analysis was performed by solving equations of motion using a direct integration method. Horizontal vibrations were more strongly affected by eccentricity than vertical vibrations. In the horizontal direction, a small eccentricity of 1% of the work roll radius considerably increased the amplitude of the chatter frequency.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2007.05a
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• pp.859-865
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• 2007

This paper presents a method to analyze the unbalance response of a high speed polygon mirror scanner motor supported by sintered bearing and flexible supporting structures by using the finite element method and the mode superposition method. The appropriate finite element equations for polygon mirror are described by rotating annular sector element using Kirchhoff plate theory and von Karman non-linear strain, and its rigid body motion is also considered. The rotating components except for the polygon mirror are modeled by Timoshenko beam element including the gyroscopic effect. The flexible supporting structures are modeled by using a 4-node tetrahedron element and 4-node shell element with rotational degrees of freedom. Finite element equations of each component of the polygon mirror scanner motor and the flexible supporting structures are consistently derived by satisfying the geometric compatibility in the internal boundary between each component. The rigid link constraints are also imposed at the interface area between sleeve and sintered bearing to describe the physical motion at this interface. A global matrix equation obtained by assembling the finite element equations of each substructure is transformed to a state-space matrix-vector equation, and both damped natural frequencies and modal damping ratios are calculated by solving the associated eigenvalue problem by using the restarted Arnoldi iteration method. Unbalance responses in time and frequency domain are performed by superposing the eigenvalues and eigenvectors from the free vibration analysis. The validity of the proposed method is verified by comparing the simulated unbalance response with the experimental results. This research also shows that the flexibility of supporting structures plays an important role in determining the unbalance response of the polygon mirror scanner motor.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2000.06a
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• pp.868-875
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• 2000

이 연구의 목적은 당사에서 제작한 멤브레인형 $130,000M^3$와 $135,000M^3$ LNG 운반선의 진동특성을 파악하고, 거주구역의 진동수준을 예측하기 위함이다. 우선 공진 회피의 관점에서 최적의 프로펠러를 선택하기 위해 간단한 계산을 수행한 후, 주변 해수를 고려한 선박 전체를 모델링하여 3차원 유한요소해석을 수행한다. 이 계산은 보다 정확한 고유진동수를 결정하고, 프로펠러 기진의 주파수 범위에서 관련된 모드 형상을 결정하며, 선박 거주구에서 기대되는 진동수준은 잘 예측할 수 있다. 다음으로 선박이 진수되고 전체구조가 조립된 후 안벽에서 불평형 가진기를 이용해 가진기테스트를 실시하고, 해상시운전 중에도 동일한 방법으로 테스트를 실시한다. 시험은 고유진동수의 항으로 선박의 실제진동응답과 계산결과와의 좋은 비교를 가능하게 한다. 추가적으로 실제 엔진을 구동해 RPM을 최저에서 최고까지 천천히 변경하면서 실제 운항 중 진동응답을 계측함으로서 고유진동수를 예측하여 해석결과 및 가진기 시험결과와 비교한다.