• 대한수학회보
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• 제60권5호
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• pp.1335-1364
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• 2023

The aim of this paper is to investigate the spectral instability of roll waves bifurcating from an equilibrium in the 2-dimensional generalized Swift-Hohenberg equation. We characterize unstable Bloch wave vectors to prove that the rolls are spectrally unstable in the whole parameter region where the rolls exist, while they are Eckhaus stable in 1 dimension [13]. As compared to [18], showing that the stability of the rolls in the 2-dimensional Swift-Hohenberg equation without a quadratic nonlinearity is determined by Eckhaus and zigzag curves, our result says that the quadratic nonlinearity of the equation is the cause of such instability of the rolls.

• 한국공간정보시스템학회:학술대회논문집
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• 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
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• pp.161-168
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• 2004

The dynamic instability of snapping phenomena has been studied by many researchers. Few papers deal with dynamic buckling under loads with periodic characteristics, and the behavior under periodic excitations is expected to be different from behavior under STEP excitations. We investigate the fundamental mechanisms of the dynamic instability when the sinusoidally shaped arch structures are subjected to sinusoidally distributed excitations with pin-ends. The mechanisms of dynamic indirect snapping of shallow arches are especially investigated under not only STEP function excitations but also under sinusoidal harmonic excitations, applied in the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equation of motion, and examined by Fourier spectral analysis in order to get the frequency-dependent characteristics of the dynamic instability for various load levels.

• Kyungpook Mathematical Journal
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• 제61권4호
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• pp.831-843
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• 2021

In this paper we look at the three dimensional stagnation point flow problem over a rough rotating disk. We study the theoretical behaviour of the stagnation point flow, or forced flow, in the presence of a slip factor in which convective instability stationary modes appear. We make a numerical investigation of the effects of slip on the behaviour of the flow components of the stagnation point flow where the disk is rough. We provide, for the first time in the literature, a complete convective instability analysis and an energy analysis. Suitable similarity transformations are used to reduce the Navier-Stokes equations and the continuity equation into a system of highly non-linear coupled ordinary differential equations, and these are solved numerically subject to suitable boundary conditions using the bvp4c function of MATLAB. The convective instability analysis and the energy analysis are performed using the Chebyshev spectral method in order to obtain the neutral curves and the energy bars. We observe that the roughness of the disk has a destabilising effect on both Type-I and Type-II instability modes. The results obtained will be prominently treated as benchmarks for our future studies on stagnation flow.

• 대한기계학회논문집
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• 제18권11호
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• pp.3032-3038
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• 1994

The paper discusses a combustion instability phenomena encountered in recent solid rocket motor development efforts at ADD(Agency for Defense Development). It has happened to occur as an irregular burning in development of smokeless propellant rocket motor. Through investigating the spectral analysis of accelerometer and strain gage signals which are recorded in static firing tests and acoustic modal analysis of motor inside cavity with ANSYS, the instability is found to be the second tangential mode.

• 한국연소학회:학술대회논문집
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• 한국연소학회 2015년도 제51회 KOSCO SYMPOSIUM 초록집
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• pp.233-235
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• 2015

This study is to investigate the combustion instability of the variation of combustion chamber length in dual swirl gas turbine model combustor. When equivalence ratio was fixed at 1.1, as the length of the combustion chamber increases the value of the frequency decreased in 7kW while the value of the frequency was constant in 4kW. The analysis of flame behaviors by high speed camera was conducted to identify such trend.

• 지구물리
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• 제4권4호
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• pp.231-238
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• 2001

In this paper, an efficient LP method ofr discrete harmonic spectra is proposed and discussed. A new efficient LP method is a combination of recursive and frequency selective LP. While the recursive LP provides better spectral matching in spectral hills, frequency selective LP eliminates numerical instability and improves spectral matching when the harmonics are confined in the low frequncy region. The proposed LP method is applied to the HILN coder. Simulation results using a verification model(VM) software for real audio signals show a definite trend of significant improvement.

• 공학논문집
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• 제5권1호
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• pp.37-44
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• 2004

n this paper, an efficient LP method for discrete harmonic spectra is proposed and discussed. A new efficient LP method is a combination of recursive and frequency selective LP. While the recursive LP provides better spectral matching in spectral hill, frequency selective LP eliminates numerical instability and improves spectral matching when the harmonics are confined in the low frequency region. The proposed LP method is applied to the HILN coder. Simulation results using a verification model(VM) software for real audio signals show a definite trend of significant improvement.

• 한국항공우주학회지
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• 제34권12호
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• pp.35-40
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• 2006

연소실 출구 노즐을 갖는 모델 덤프 연소기에서의 연소불안정과 스피커를 이용한 능동제어의 가능성에 대한 연구를 수행하였다. 예혼합 가스의 유입속도, 연소실 길이, 당량비를 변화시켜가며 동압과 화염구조를 동시에 측정하였다. 유입속도와 연소실 길이는 덤프 연소기에서의 와류 생존시간에 영향을 주기 때문에, 연소길 길이가 길어질수록 그리고 유입속도가 작아질수록 연소불안정의 주파수는 작아지고, 동압에서 얻어진 최대 스펙트럼밀도 또한 전반적으로 작아지는 경향을 보였다. 당량비에 따라 불안정의 강도와 주파수 특성도 변했는데, 당량비의 증가에 따라 불안정 주파수와 연소불안정 강도는 증가하는 경향을 나타내었다. 폐루프 방식의 제어를 통하여 스피커를 이용한 능동제어는 이러한 혼합 acoustic-convective 모드 연소불안정으로 발생하는 와류의 발전을 감소시킬 수 있음을 확인하였다.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2005년도 제25회 추계학술대회논문집
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• pp.445-449
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• 2005

혼합 acoustic-convective 모드 연소불안정과 스피커를 이용한 능동제어의 가능성에 대한 연구를 수행 하였다. 유입속도, 연소실 길이, 당량비를 변화시켜 가면서 동압과 화염구조를 동시 측정하였다. 유입속도와 연소실 길이는 덤프 연소기에서의 와류 생존시간에 영향을 주기 때문에, 연소길 길이가 길어질수록 그리고 유입속도가 작아질수록 연소불안정의 주파수는 작아지고, 동압에서 얻어진 최대 전력스펙트럼밀도 또한 전반적으로 작아지는 경향을 보였다. 당량비에 따라 불안정의 강도와 주파수 특성도 변했는데, 당량비의 증가에 따라 불안정 주파수와 연소불안정 강도는 증가하는 경향을 나타내었다. 폐루프 방식의 제어를 통하여 스피커를 이용한 능동제어는 이러한 혼합 acoustic-convective 모드 연소불안정으로 발생하는 와류의 발전을 감소시킬 수 있음을 확인하였다.

• 대한기계학회논문집A
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• 제27권2호
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• pp.294-301
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• 2003

It is of often important to accurately predict the flow-induced vibration or dynamic instability of a pipeline conveying internal high speed flow in advance, which requires a very accurate solution method. In this study, first the dynamic equations for the axial and transverse vibrations of a pipeline are reduced from a set of pipe-dynamic equations derived in the previous study and then the spectral element model is formulated. The accuracy of the spectral element method (SEM) is then verified by comparing its results with the results obtained by finite element method (FEM). It is shown that the present spectral element model provides very accurate solutions by using an extremely small number of degrees-of-freedom when compared with FEM. The dynamics of a sample pipeline is investigated with varying the axial tension and the speed of internal flow.