• 제목/요약/키워드: Coupled-mode theory

검색결과 117건 처리시간 0.029초

Free vibration analysis of moderately thick rectangular laminated composite plates with arbitrary boundary conditions

  • Naserian-Nik, A.M.;Tahani, M.
    • Structural Engineering and Mechanics
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    • 제35권2호
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    • pp.217-240
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    • 2010
  • A semi-analytical method is presented for accurately prediction of the free vibration behavior of generally laminated composite plates with arbitrary boundary conditions. The method employs the technique of separation of spatial variables within Hamilton's principle to obtain the equations of motion, including two systems of coupled ordinary homogeneous differential equations. Subsequently, by applying the laminate constitutive relations into the resulting equations two sets of coupled ordinary differential equations with constant coefficients, in terms of displacements, are achieved. The obtained differential equations are solved for the natural frequencies and corresponding mode shapes, with the use of the exact state-space approach. The formulation is exploited in the framework of the first-order shear deformation theory to incorporate the effects of transverse shear deformation and rotary inertia. The efficiency and accuracy of the present method are demonstrated by obtaining solutions to a wide range of problems and comparing them with finite element analysis and previously published results.

평행 결합선로 이론에 근거한 새로운 집중 소자형 방향성 결합기 해석 및 설계 (Design of a Novel Lumped Element Backward Directional Coupler Based on Parallel Coupled-Line Theory)

  • 송택영;이상현;김영태;천창율;박준석
    • 한국전자파학회:학술대회논문집
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    • 한국전자파학회 2002년도 종합학술발표회 논문집 Vol.12 No.1
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    • pp.157-160
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    • 2002
  • In this paper, a novel lumped equivalent circuit for a conventional parallel directional coupler is proposed. The equivalent circuit and design formula for the presented lumped element coupler is derived based on the even-and odd-mode properties of a parallel-coupled line. By using the derived design formula, we have designed the 3㏈ and 10㏈ lumped element directional couplers at the center frequency of 100Mhz. Furthermore, a chip type directional coupler has been designed to fabricate with multilayer configurations by employing the Low Temperature CofiredCeramic (LTCC) process. Designed chip-type directional coupler has a 10㏈-coupling value at the center frequency of 2㎓. Excellent agreements between simulations and measurements on the designed directional couplers show the validity of this paper

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연성효과에 의한 대형 구조물의 굽힘-비틀림 진동특성 (Bending-Torsional Vibration Characteristics of Large Structure Influenced by Coupling Effects)

  • 송창용;손충열;송재영
    • 소음진동
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    • 제6권4호
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    • pp.431-438
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    • 1996
  • The channel type structure which has large openings is frail with respect to torsional strength, and the horizontal-torsional motion is highly coupled, because of the large difference between the centroil and the shear center. Also, a discontinuous boundary phase is came from tansition section between the opened section and the closed section. To analyze the Bending- Torsional coupled mode parameters for the channel type structure, the Transfer Matrix Method was used. Comparing the result of F.D.M.T.M.M yields good results in relatively low frequency region.

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결합선로이론을 이용한 CATV 전송회로용 Tap off의 미조정방법에 관한 연구 (A Study on the Adjusting Fine Method of Tap-off for CATV Transmitting Circuits Using Coupled-Line Theory)

  • 김동일;민경식;정세모
    • 전자공학회논문지A
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    • 제31A권6호
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    • pp.26-33
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    • 1994
  • Much time and labor has been conventionally paid for fine adjustment of circuit elements by experience to improve the characteristics of Tap-off for CATV systems. To solve the problem, in this paper, the relations between the even- and odd-mode impedance. Z$_{oe}$ and Z$_{oo}$ of symmetrical 4-port coupled-line directional coupler and power dividing characteristics of Tap-off for CATV system have been derived. After the coupling, the reflectivity and the isolation are represented by Z$_{oe}$ and Z$_{oo}$ only, the fine adjustment of all S-parameters can be performed by controling the elements of Z$_{oe}$ and Z$_{oo}$ only. Furthermore, the validity of the new fine adjustment method proposed here has been confirmed by experiments.

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전단벽-골조 시스템의 내진설계를 위한 근사해석법 (Approximate Analysis of Shear Wall-Frame Structure For Seismic Design)

  • 유석형
    • 한국구조물진단유지관리공학회 논문집
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    • 제23권2호
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    • pp.99-106
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    • 2019
  • 횡력을 받는 전단벽-골조 시스템은 휨거동을 하는 전단벽과 전단거동을 하는 골조가 슬래브의 강체평면운동(Diaphragm Action)을 통하여 상호작용하여 수평력에 효율적으로 저항하는 시스템이다. 횡력을 받는 골조의 거동은 보와 기둥의 휨 변형에 의한 골조의 수평 전단변형과 기둥의 축 변형에 의한 골조의 휨 변형으로 구분 할 수 있다. 일반적으로 전단벽-골조 시스템의 근사해석 시 골조의 휨변형은 무시하여 왔으나, 건물의 높이가 증가 할수록 골조의 휨 거동은 큰 영향을 미칠 것으로 사료된다. 따라서 본 연구에서는 횡력을 받는 전단벽-골조 시스템의 근사해석 시 기둥의 축 변형을 고려하기위하여 병렬전단벽 시스템(Coupled Shear Wall System)의 해석 시 사용하는 연속매체모델(Continuous Medium Model)을 이용하여 횡 변위 및 부재력을 산정할 수 있는 근사식을 수정 제시 하였다. 새롭게 제시된 근사식을 검토하기 위하여 기존 식과 컴퓨터에 의한 Matrix해석 결과와 비교하였으며, 비교결과 건물 높이가 높을수록 본 연구에서 제시한 근사해석 식이 기존 식보다 Matrix 해석 결과에 가깝게 나타났다.

Vibration Analysis of Smart Embedded Shear Deformable Nonhomogeneous Piezoelectric Nanoscale Beams based on Nonlocal Elasticity Theory

  • Ebrahimi, Farzad;Barati, Mohammad Reza;Zenkour, Ashraf M.
    • International Journal of Aeronautical and Space Sciences
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    • 제18권2호
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    • pp.255-269
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    • 2017
  • Free vibration analysis is presented for a simply-supported, functionally graded piezoelectric (FGP) nanobeam embedded on elastic foundation in the framework of third order parabolic shear deformation beam theory. Effective electro-mechanical properties of FGP nanobeam are supposed to be variable throughout the thickness based on power-law model. To incorporate the small size effects into the local model, Eringen's nonlocal elasticity theory is adopted. Analytical solution is implemented to solve the size-dependent buckling analysis of FGP nanobeams based upon a higher order shear deformation beam theory where coupled equations obtained using Hamilton's principle exist for such beams. Some numerical results for natural frequencies of the FGP nanobeams are prepared, which include the influences of elastic coefficients of foundation, electric voltage, material and geometrical parameters and mode number. This study is motivated by the absence of articles in the technical literature and provides beneficial results for accurate FGP structures design.

Forward and backward whirling of a spinning nanotube nano-rotor assuming gyroscopic effects

  • Ouakad, Hassen M.;Sedighi, Hamid M.;Al-Qahtani, Hussain M.
    • Advances in nano research
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    • 제8권3호
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    • pp.245-254
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    • 2020
  • This work examines the fundamental vibrational characteristics of a spinning CNT-based nano-rotor assuming a nonlocal elasticity Euler-Bernoulli beam theory. The rotary inertia, gyroscopic, and rotor mass unbalance effects are all taken into consideration in the beam model. Assuming a nonlocal theory, two coupled 6th-order partial differential equations governing the vibration of the rotating SWCNT are first derived. In order to acquire the natural frequencies and dynamic response of the nano-rotor system, the nonlinear equations of motion are numerically solved. The nano-rotor system frequency spectrum is shown to exhibit two distinct frequencies: one positive and one negative. The positive frequency is known as to represent the forward whirling mode, whereas the negative characterizes the backward mode. First, the results obtained within the framework of this numerical study are compared with few existing data (i.e., molecular dynamics) and showed an overall acceptable agreement. Then, a thorough and detailed parametric study is carried out to study the effect of several parameters on the nano-rotor frequencies such as: the nanotube radius, the input angular velocity and the small scale parameters. It is shown that the vibration characteristics of a spinning SWCNT are significantly influenced when these parameters are changed.

불연속 입력 경계면과 전송 손실이 있는 광 편파기 설계를 위한 새로운 편파조건 (Novel Polarization Condition of Optical Polarized Beamsplitter with Misaligned Input Interface and Guiding Loss)

  • 호광춘
    • 전기전자학회논문지
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    • 제11권1호통권20호
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    • pp.61-68
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    • 2007
  • 모드 전송선로 이론을 이용하여 불연속 입력경계면을 갖는 TE-TM 모드 광 편파기의 편파특성을 정확하게 분석하였다. 제안한 해석법의 타당성 및 정확성을 분석하기 위하여 새로운 편파조건을 정의하였으며, 기존에 널리 사용하여 왔던 결합모드 이론 의 편파조건과 비교 분석하였다. 분석 결과, 불연속 입력경계면의 분연속 특성은 광 편파기의 편파조건에 영향을 주지 않았으나, 결합특성이 약하고 전송구조가 비 대칭 구조인 경우 근사적 해석법인 결합 모드 이론의 편파조건이 부정확함을 알 수 있었다.

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크랙을 가진 유체유동 파이프의 안정성 해석 (Stability Analysis of Pipe Conveying Fluid with Crack)

  • 안태수;손인수;윤한익
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.865-868
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    • 2006
  • In this paper, a dynamic behavior(natural frequency) of a cracked simply supported pipe conveying fluid is presented. In addition, an analysis of the flutter and buckling instability of a cracked pipe conveying fluid due to the coupled mode (modes combined) is presented. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The stiffness of the spring depends on the crack severity and the geometry of the cracked section. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. This study will contribute to the safety test and stability estimation of structures of a cracked pipe conveying fluid.

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$K^+$ 이온교환 도파로형 광결합기의 모델링 및 특성 (Modeling and characteristics of $K^+$ ion-exchanged waveguide-type optical coupler)

  • 천석표;박태성;정홍배
    • E2M - 전기 전자와 첨단 소재
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    • 제9권3호
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    • pp.259-264
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    • 1996
  • In this study, we performed a modeling for $K^{+}$ ion-exchanged diffused channel waveguide and waveguide-type optical coupler by Wentzel-Kramer-Brillouin(WKB) dispersion equation, normalized field distribution equation for mode and coupled mode theory, and examined the optical-power-dividing of the optical coupler fabricated by using the modeling condition. The optical-power-dividing was observed at the waveguide-type optical coupler with 3[.mu.m] line-width, 6[.mu.m] space between channel waveguides, and 3[mm] interaction length.h.

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