• 제목/요약/키워드: Floquet's Theory

검색결과 17건 처리시간 0.021초

주기가 다른 격자들로 구성된 DFB 필터의 구현 (Implementation of Distributed Feedback Filters using Cascaded Gratings with Different Period)

  • 호광춘
    • 한국인터넷방송통신학회논문지
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    • 제13권1호
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    • pp.77-82
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    • 2013
  • 주기가 다른 격자들로 구성된 평면 DFB 도파로의 필터 특성들을 등가 전송선로 망을 사용하여 구현하였다. 대역 필터 특성과 공진 특성을 정확하게 분석하기 위하여 Floquet 이론과 Babinet 원리에 기초한 종방향 모드 전송선로 이론 (L-MTLT)을 제시하였다. 수치해석 결과, 본 논문에서 제시한 해석법은 주기가 다른 격자들로 구성된 DFB 도파로의 필터 특성들을 분석하기 위한 간단한 수치 해석적 알고리즘을 제공하였으며, DFB 필터의 대역폭과 사이드로브의 억압특성 각 영역에서의 격자개수와 격자 종횡비 (aspect ratio)에 민감하게 의존함을 보였다.

Parametric resonance of a spinning graphene-based composite shaft considering the gyroscopic effect

  • Neda Asadi;Hadi Arvin;Yaghoub Tadi Beni;Krzysztof Kamil Zur
    • Steel and Composite Structures
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    • 제51권4호
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    • pp.457-471
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    • 2024
  • In this research, for the first time the instability boundaries for a spinning shaft reinforced with graphene nanoplatelets undergone the principle parametric resonance are determined and examined taking into account the gyroscopic effect. In this respect, the extracted equations of motion in our previous research (Ref. Asadi et al. (2023)) are implemented and efficiently upgraded. In the upgraded discretized equations the effect of the Rayleigh's damping and the varying spinning speed is included that leads to a different dynamical discretized governing equations. The previous research was about the free vibration analysis of spinning graphene-based shafts examined by an eigen-value problem analysis; while, in the current research an advanced mechanical analysis is addressed in details for the first time that is the dynamics instability of the aforementioned shaft subjected to the principal parametric resonance. The spinning speed of the shaft is considered to be varied harmonically as a function of time. Rayleigh's damping effect is applied to the governing equations in order to regard the energy loss of the system. Resorting to Bolotin's route, Floquet theory and β-Newmark method, the instability region and its accompanied boundaries are defined. Accordingly, the effects of the graphene nanoplatelet on the instability region are elucidated.

${\lambda}$/4 천이영역을 갖는 광 DFB도파로의 해석적 분석법 (A Simple Analytic Method of Optical DFB Waveguides with Quarter-Wavelength Shifted Region)

  • 김준환;호광춘
    • 대한전자공학회논문지SD
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    • 제38권12호
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    • pp.36-43
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    • 2001
  • ${\lambda}$/4 천이영역을 갖는 평면 DFB 도파로의 광학적특성을 분석하였다. 그 도파로의 필터특성과 공진특성을 정확히 분석하기 위하여 Floquet 이론과 Babinet 원리에 기초한 새로운 모드 전송선로 이론을 유도하였다. 수치해석 결과, 본 논문에서 제시한 해석법은 ${\lambda}$/4 천이영역을 갖는 평면 DFB 도파로의 필터 특성과 공진특성을 간단히 해석할 수 있는 알고리즘을 제공하며, 다른 근사적 해석법들에서 얻을 수 없는 새로운 물리적 특성을 보여 주었다.

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주기적인 대칭 슬롯을 가진 누설동축 케이블의 전파모드 해석 (Propagation Mode Analysis of Leaky Coaxial Cable with Periodic Symmetrical Slots)

  • 홍용인;맹명재;김정기
    • 전자공학회논문지A
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    • 제31A권9호
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    • pp.53-63
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    • 1994
  • In indoor radio systems, vehicular communication systems, and land mobile systems, a very important problem is that of maintaining stable communications at all locations. Therefore solutions for the indoor propagation problem are important aspects of the mobile communication system. leaky coxial cables are finding increasing use in communications systesm involving mines, tunnels, tailroads, and highways, and in new obstacle detection, or guided radar, schemes for ground transportation and perimenter surveilance. In this paper a leaky coaxial cable having periodic slots in the outer conductor is described to obtain the propagation modes in the various environments. We use aneccentric cylindrical model to develop the theory for surface-wave propagation on the cable. Numerical Results are also included for the propagation constants, field distribution and current distribution. First, we derive the electromagnetic equation for leaky coaxial cable having symmetrical periodic slots using mode-matching method and Floquet's theorem, and then find various modes, propagation constants, field distribution, etc.

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중력의 영향이 고려된 회전 블레이드의 동적 안정성 해석 (Dynamic Stability Analysis of a Rotating Blade Considering Gravity Effect)

  • 정강일;유홍희
    • 한국소음진동공학회논문집
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    • 제20권11호
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    • pp.1052-1057
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    • 2010
  • Dynamic stability of rotating blade considering gravity effect is investigated in this paper. Equations of motion for the beam is derived by employing hybrid deformation variable method and transformed into dimensionless form. The present modeling method is verified by RecurDyn. Stability diagrams are presented to show the influence of the configuration of the beam and angular velocity on the dynamic stability by applying Floquet's theory. Since the natural frequencies are varied when the blade has rotating motion, it is found that relatively large unstable regions exist approximately 1.1 times as high as the first bending natural frequency and half of the sum of first and second bending natural frequency.

주기적인 슬롯을 갖는 누설동축 케이블의 전파 특성 (Propagation Chracteristics of Leaky Coaxial Cable with Periodic Slots)

  • 홍용인;김현준;맹명채;양기곤;김정기
    • 한국전자파학회지:전자파기술
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    • 제4권2호
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    • pp.24-33
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    • 1993
  • 본 논문에서는 터널, 지하철 등 지하 공간에서의 무선통신을 가능하게 하는 주기적인 슬롯을 갖는 누설동축케이블의 전자파 특성을 해석하였다. 주기적인 구조를 해석하기 위해 Floquet 정리를 사용하여 동축 케이블의 표면파 특성을 해석하였고, 전파상수 및 필드의 진폭을 구하기 위하여 다변수 Newton Raphson법을 사용하여 식을 전개하였다. 이 값으로 부터 총축 케이블의 필드 분포, 표면 전송 임피던스(surface transfer impedance), 전류분포, 전파상수 등을 구하였다.

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강체운동 비선형 효과를 고려한 맥동 종동력을 받아 비행하는 보 구조물의 모델링 및 안정성 해석 (Modeling and Dynamic Stability Analysis of a Flying Beam Undertaking Pulsating Follower Forces Considering the Nonlinear Effect Due to Rigid Body Motion)

  • 현상학;유홍희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.510-515
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    • 2000
  • Dynamic stability of a flying structure undertaking constant and pulsating axial forces 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. The analysis model presented in this paper considers the nonlinear effect due to rigid body motion of the beam. Dynamic stability of the system is influenced by the nonlinear effect. In order to examine the nonlinear effect, first the unstable regions of the linear system are obtained by using the method based upon Floquet's theory, and dynamic responses of the nonlinear system in the unstable region are obtained by using direct time integration method. Dynamic stability of the nonlinear system is determined by the obtained dynamic responses.

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