• 한국전산유체공학회지
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• 제14권4호
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• pp.41-47
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• 2009

An immersed boundary method(IBM, Kim et al.(2001)) for simulating flows over complex geometries is applied to computation of three-dimensional Floquet stability of a periodic wake. Floquet stability analysis is employed to extract different modes of three-dimensional instability. To verify the present method, a fully-resolved Floquet stability calculation for flow past a circular cylinder is considered. There are two different instability modes with long(mode A) and short (mode B) spanwise wavelengths for the periodic wake of a circular cylinder. The critical Reynolds number and the most unstable spanwise wavelengths of modes A and B are computed using the present method, and compared with other authors' results currently available.

• ETRI Journal
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• 제26권5호
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• pp.481-485
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• 2004

We consider electromagnetic field radiation properties of a current filament placed at the origin of a cylindrical frequency selective surface (CFSS). The CFSS consists of free standing metal strips with two-dimensional periodicity. The analysis is based on a cylindrical Floquet mode wave expansion technique. We observed that near the half wavelength resonance frequencies, there exist some specific frequencies at which the surface becomes totally transparent.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2005년도 춘계학술대회논문집
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• pp.877-882
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• 2005

Dynamic stability of an axially accelerating beam stucture is investigated in this paper. The equations of motion of a fixed-free beam are derived using the hybrid deformation variable method and the assumed mode method. Unstable regions due to periodical acceleration are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the dimensionless acceleration, amplitude, and frequency. Also, buckling occurs when the acceleration exceeds a certain value. It is found that relatively targe unstable regions exist around the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the stability diagram is confirmed by direct numerical integration of the equations of motion.

• 소음진동
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• 제9권6호
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• pp.1157-1165
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• 1999

Dynamic stability of a flying structure undertaking constnat and pulsating thrust force is investigated in this paper. The equations of motion of the structure, which is idealized as a free-free beam, are derived by using the hybrid variable method and the assumed mode method. The structural system includes a directional control unit to obtain the directional stability. Unstable regions due to periodically pulsating thrust forces are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the constant force, the location of gimbal, and the frequency of pulsating force. The validity of the diagrams are confirmed by direct numerical simulations of the dynamic system.

• 한국소음진동공학회논문집
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• 제15권9호
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• pp.1053-1059
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• 2005

Dynamic stability of an axially accelerating beam structure is investigated in this paper. The equations of motion of a fixed-free beam are derived using the hybrid deformation variable method and the assumed mode method. Unstable regions due to periodical acceleration are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the dimensionless acceleration, amplitude, and frequency. Also, buckling occurs when the acceleration exceeds a certain value. It is found that relatively large unstable regions exist around the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the stability diagram is confirmed by direct numerical integration of the equations of motion.

• 한국전자파학회지:전자파기술
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• 제2권3호
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• pp.60-66
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• 1991

본 논문에서는 효율적인 전자파 차례를 위하여 일정한 두께를 가지고 있는 완전도체의 평판에 원형이나 사각형 모양의 개구면이 삼각형이나 사각형 격자 모양으로 배열되어 있을 때, 이 평판에 수직으로 입사되는 평면파에 대하여 Floquet mode를 이용하여 각 개구면 모양 및 크기에 따라 반사계수 및 투과계수로 나타내어 투과전력을 구함으로써 각 개구면의 모양이나 크기에 따른 전자파 차례효과를 조사하였다.

• 한국전자파학회논문지
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• 제18권1호
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• pp.7-14
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• 2007

본 논문에서는 직사각형 개방형 도파관들이 삼각 격자 형태로 배열된 구조의 조향 특성을 연구하였다. 무한배열 해석 이론에서의 도파관 모드와 플로케 모드 함수를 이용하여 도파관 내부와 외부의 전계 성분을 적분방정식으로 유도하고 이를 프로그램화하여 조향 소자 패턴과 조향 임피던스를 수치해석하였다. CST사의 MWS(Microwave Studio)와 Ansoft사의 HFSS(High Frequency Structure Simulator)를 이용하여 얻어진 시뮬레이션 결과와 계산된 결과를 비교하였고, 아울러 $8{\times}8$ 부배열을 제작하고 측정하여 시뮬레이션과 계산 결과와 비교함으로써 접근 방법의 타당성을 검증하였다. 제작된 부배열 안테나는 X-대역에 있는 중심주파수의 10.5 % 대역 내에서 E-면(방위각)과 H-면(고각) 조향 범위 ${\pm}45^{\circ}C,\;{\pm}20^{\circ}C$ 내에서 평탄한 이득을 갖고 또한 -10 dB 이하의 반사 손실을 갖는 것을 확인하였다.

• International journal of advanced smart convergence
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• 제1권2호
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• pp.43-46
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• 2012

We analyzed a periodic thick mushroom structure for use as an artificial magnetic conductor using mode-matching method. The fields in each region were represented by either Floquet modes or waveguide modes. By applying tangential electric and magnetic field continuity conditions and using matrix equations, unknown coefficients and dispersion diagram were calculated. The proposed model can account for the effects of oblique incidence. Simulation time using the method was much faster than the commercial tools. We found that the current method produces accurate results of reflection phase and dispersion diagram.

• International Journal of Naval Architecture and Ocean Engineering
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• 제11권2호
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• pp.688-698
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• 2019

If heave motion in the platform causes horizontal parametric vibration of a Compliant Vertical Access Riser (CVAR), the riser may become unstable. A combination of riser parameters lies in the unstable region aggravates vibrational damage to the riser. Change of axial tensile stress in the riser combined with its natural frequency and mode shape change results in mode coupling. In accordance with the state transition matrices of the riser in the coupled and uncoupled states, the stable and unstable regions were obtained by Floquet theory, and the vibration response under different conditions was obtained. The parametric excitation of the CVAR is shown to occur mainly in first-order unstable regions. Mode coupling may cause parametric excitation in the least stable regions. Damping reduces the extent of unstable regions to a certain extent.

• 한국전자파학회지:전자파기술
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• 제6권3호
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• pp.68-74
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• 1995

본 논문에서는 2개의 유전체 층을 가지는 도체 스트립 격자구조에 의한 E-분극 산란 문제를 Fourier-Falerkin 모멘트 법으로 해석했으며, 기학광학 반사 및 투과전력을 계산 하였다. 도체띠에 유도되는 전기전류는 간단한 지수함수를 이용하여 프리에 급수로 전개하였으며, 각 경계면에서의 전자계 경계조건을 적용하였다. 그리고 산란 전자파는 Floquet 모드 함수르 이용하여 무한개의 급수로 전개하였다. 본 논문에서 제안된 방법의 타당성을 입증하기위하여 기존 논문의 수치결과와 비교한 결과 매우 잘 일치하였다.