• Journal for History of Mathematics
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• v.25 no.4
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• pp.53-67
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• 2012

Today, it is necessary to calculate orbits with high accuracy in space flight. The key words of Poincar$\acute{e}$ in celestial mechanics are periodic solutions, invariant integrals, asymptotic solutions, characteristic exponents and the non existence of new single-valued integrals. Poincar$\acute{e}$ define an invariant integral of the system as the form which maintains a constant value at all time $t$, where the integration is taken over the arc of a curve and $Y_i$ are some functions of $x$, and extend 2 dimension and 3 dimension. Eigenvalues are classified as the form of trajectories, as corresponding to nodes, foci, saddle points and center. In periodic solutions, the stability of periodic solutions is dependent on the properties of their characteristic exponents. Poincar$\acute{e}$ called bifurcation that is the possibility of existence of chaotic orbit in planetary motion. Existence of near exceptional trajectories as Hadamard's accounts, says that there are probabilistic orbits. In this context we study the eigenvalue problem in early 20th century in three body problem by analyzing the works of Darwin, Bruns, Gyld$\acute{e}$n, Sundman, Hill, Lyapunov, Birkhoff, Painlev$\acute{e}$ and Hadamard.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2008.11a
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• pp.385-386
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• 2008

Dynamic stability of the vehicle rearview mirror is an important factor for the driver's visual perception (image blur) when driving down the road and regarded as one of the vehicle level N&V performance of visible component vibration. Several projects within GM identified a set of objective metrics and validation methods that can replace current existing subjective evaluation of mirror stability. This paper presents objective evaluation results for assessing dynamic stability (angle of rotation) of the vehicle rearview mirrors using both in-lab FRF measurements and on-road testing.

• Transactions of the Korean Society of Mechanical Engineers
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• v.19 no.3
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• pp.820-833
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• 1995

An analysis is performed to examine the equilibrium state and the stability of modeled Reynolds stress equations for homogeneous turbulent shear flows. The system of the governing equations consists of four coupled ordinary differential equations. The equilibrium states are found by the steady state solution of the governing equations. In order to investigate the stability of the system about its state in equilibrium, and eigenvalue problem is constructed. As a result, constraints for the coeffieients in the model equations are obtained by the stability condition of the equilibrium state as well as by their physically realizable bounds. It is observed that the models with pressure-strain rate correlation that are linear in the anisotropy tensor are stable and produce reasonable equilibrium tensor do not behave properly. Stability considerations about three most commonly used models are given in detail in the final section.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.17 no.8
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• pp.701-707
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• 2007

In this paper the vibration system is composed of a rotating cantilever pipe conveying fluid. The equation of motion is derived by using the Lagrange's equation. Generally, the system of pipe conveying fluid becomes unstable by flutter. Therefore, the influence of the rotating angular velocity, mass ratio and the velocity of fluid flow on the stability of a cantilever pipe by the numerical method are studied. The influence of mass ratio, the velocity of fluid, the angular velocity of a cantilever pipe and the coupling of these factors on the stability of a cantilever pipe are analytically clarified. The critical fluid velocity ($u_{cr}$) is proportional to the angular velocity of the cantilever pipe. In this paper Flutter(instability) is always occurred in the second mode of the system.

• The KSFM Journal of Fluid Machinery
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• v.11 no.1
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• pp.46-51
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• 2008

A stability analysis has been made for a newly designed gate of intake tower of reservoir. The analysis is composed of finding the natural frequency of the gate and the frequency induced by water flowing over and through the gate. ANSYS is employed to calculate the natural frequency of the gate and SC/Tetra is utilized for calculating flow field around the gate, which in turn gives the frequency of pressure force fluctuation on the gate. In addition to the safety analysis, the present study presents how the gate selectively intakes a muddy water layer located in the middle depth of reservoir.

• Proceedings of the Acoustical Society of Korea Conference
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• autumn
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• pp.93-96
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• 2000

수중 폭발성 음원(SUS)을 이용한 천해 저주파 잔향음 실험을 97년 제주 해역에서 실시하였다 측정된 신호를 고유음선 정보를 이용하여 시간영역에서 잡음, 반사, 산란 영역으로 구분하고 각 영역에 대해서 주파수별 스펙트럼 분석을 실시하였으며 각 영역이 갖는 확률적 특성을 분석하였다. 실험해역은 안정된 해저 형태를 갖는 천해였으므로 산란 신호는 일정한 크기를 갖고 지속적으로 수신되었다. 스펙트럼 분석 결과, 시간에 따른 안정성을 갖는 주파수 대역을 확인할 수 있었으며 구분된 영역별 위상은 반사영역과 산란영역의 위상 특성을 잘 반영하고 있었다. 구분된 각 영역에 대해 1/3 옥타브 벤드로 필터링 하여 확률 특성을 분석한 결과 주파수영역의 실수부와 허수부는 각각 정규 분포를 보였으며 그것의 진폭(envelope)은 레일리 분포를 나타냈다. 또한 산란신호의 위상은 저주파 대역에서 유니폼 분포 특성을 나타내어 잔향음의 기본적인 확률 특성을 잘 반영하고 있었다.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.2
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• pp.611-616
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• 2011

Two kinds of structural analysis on the shape of the impeller models, and the natural frequency, harmonic vibration analysis is performed on the shape of the impeller and the resonant frequency of the local analysis of vulnerable areas by ensuring the structural stability of the shape of the impeller evaluation.

• Proceedings of the Korean Vacuum Society Conference
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• 2010.08a
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• pp.68-68
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• 2010

최근에 양전자의 고유 성질을 이용하여 반도체 및 도체의 표면, 계면 그리고 박막의 특성을 분석하는 기술로 소개되고 있다. 양전자는 양의 전하를 갖으며, 반물질인 전자와 쌍소멸하면서 감마선과 Auger 전자를 방출하는 특성을 이용하여 원소의 화학적 분석을 처음으로 증명하였다 (1987, UTA). 이후 도체 및 반도체의 표면 및 박막성장의 초기 성장 양상을 EAES, LEED와 상호보완적으로 활용하여 다양한 결과를 보고한 바 있다. 최근에는 기존의 양전자 이용 Auger전자 분광기의 단점을 극복하고 Time-Of-Flight(TOF) 시스템을 활용하여 향상된 성능과 Cu(100) 표면에서 얻은 전자 스펙트럼의 연구 결과를 소개하고자 한다. UTA의 TOF PAES 시스템을 이용하여 Si(100)표면에 Se 원자의 열적 안정성을 연구하였다. 1ML의 Se을 Si(100)위에 성장한 후 가열하면서 PAES의 스펙트럼을 반복적으로 취하였다. $800^{\circ}C$ 이상의 온도로 가열하는 경우 Se MVV Auger 피크는 약해지고 Si LVV 피크가 나타나기 시작했다. MgO(100) 표면과 Cu2O/ITO 시스템의 온도 안정성 결과를 보고하고 PAES의 향상된 표면 선택도 등 장점이 표면 분석 기술로서 적합함을 보고하고자 한다.

• Journal of the Earthquake Engineering Society of Korea
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• v.9 no.6 s.46
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• pp.1-12
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• 2005

For a shear-deformable beam-column element subjected io non-conservative forces, equations of motion and a finite element formulation are presented applying extended Hamilton's principle. The influence of non-conservative force's direction parameter, internal and external damping forces, and shear deformation and rotary inertia effects on divergence and flutter loads of Beck's columns are intensively investigated based on element stiffness, damping and mass matrixes derived for the non-conservative system.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.33 no.2
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• pp.67-74
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• 2005

This paper concerns attitude controller design for a 3-staged launch vehicle which has movable nozzle TVC systems for all stages as its control systems. The PD-type control gains are determined by shaping the corresponding closed-loop natural frequencies for the purpose of guaranteeing the required stability margin. Bending filters are also designed to stabilize the bending modes by using parametric optimization method. The designed controllers are verified using six degree of freedom flight simulations in MATLAB.