• Title/Summary/Keyword: Coupled-mode theory

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Dynamic Characteristic of Coupled Pre-twist Blade and Shaft System (초기 비틀림각이 고려된 블레이드-축 통합 시스템의 동적 특성)

  • Lee, Hwan-Hee;Song, Ji-Seok;Na, Sung-Soo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.7
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    • pp.659-666
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    • 2012
  • A nonlinear dynamic model for the shaft-disk-blade unit is developed in this study. In this regard, the rotating flexible blade, with a pre-twist angle, attached to a rigid disk driven by a shaft which is flexible in torsion is developed. The rotor-blade coupled model is derived using Lagrange equation in conjunction with the assumed mode method to discretize the blade deformation. The equations of motion are analyzed based on the small deformation theory for the blade and shaft torsional deformation to obtain the system natural frequencies for various system parameters.

Vibration Characteristics of Conical Shells with Linearly Varying Thickness (선형적으로 두께가 변하는 원추형 셸의 진동특성)

  • Yeo, D.J.;Cho, I.S.
    • Journal of Power System Engineering
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    • v.12 no.2
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    • pp.35-40
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    • 2008
  • This paper deals with the free vibrations of conical shells with linearly variable thickness by the transfer influence coefficient method. The classical thin shell theory based upon the Flugge theory is assumed and the governing equations of a conical shell are written as a coupled set of first order matrix differential equations using the transfer matrix. The Runge-Kutta-Gill integration method is used to solve the governing differential equation. The natural frequencies and corresponding mode shapes are calculated numerically for the conical shells with linearly variable thickness and various boundary conditions at the edges. The present method is applied to conical shells with linearly varying thickness, and the effects of the semi-vertex angle, the number of circumferential waves and thickness ratio on vibration are studied.

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An Even\ulcornerOdd mode Analysis Method of Tap-Offs for CATV/DBS Systems (CATV/DBS용 신호분기기의 우ㆍ기 모드 해석법)

  • 김동일;황재현;류현욱;하도훈;정세모
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2000.05a
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    • pp.156-159
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    • 2000
  • A new analysis method of Tap-Off for CATV, DBS, CS systems was proposed and investigated by using 4-port and Lport equivalent circuits. As an analysis method the even$.$odd-mode theory for a symmetrical coupled-line directional coupler was introduced, and then it was applied to transformer type directional couple By comparing the results of simulation and measurement, the validity of the proposed analysis method was confirmed. Furthermore, the Tap-off has been broadened from 5 MHz to 4,000 MHz by adopting the propose theory.

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Development of Vibrational Analysis Algorithm for Truncated Conical Shells (끝이 잘린 원추형 셸의 진동해석 알고리즘의 개발)

  • Yeo, D.J.
    • Journal of Power System Engineering
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    • v.9 no.3
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    • pp.58-65
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    • 2005
  • This paper deals with the free vibrations of truncated conical shell with uniform thickness by the transfer influence coefficient method. The classical thin shell theory based upon the $Fl\ddot{u}gge$ theory is assumed and the governing equations of a conical shell are written as a coupled set of first order differential equations using the transfer matrix. The Runge-Kutta-Gill integration and bisection method are used to solve the governing differential equations and to compute the eigenvalues respectively. The natural frequencies and corresponding mode shapes are calculated numerically for the truncated conical shell with any combination of boundary conditions at the edges. And all boundary conditions and the intermediate supports between conical shell and foundation could be treated only by adequately varying the values of the spring constants. Numerical results are compared with existing exact and numerical solutions of other methods.

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Ray-optical determination of the coupling coefficients of waveguide gratings by use of the rigorous coupled wave theory (회절격자구조를 갖는 도파로 소자의 엄밀한 광선광학적 결합계수 계산)

  • 박선택;송석호;오차환;김필수
    • Korean Journal of Optics and Photonics
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    • v.10 no.4
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    • pp.348-353
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    • 1999
  • Ray-optics approach based on the rigorous coupled wave theory, called by the rigorous ray-optics method (RROM), is developed for the calculation of couling coefficients of waveguide grating devices. The coupling coefficients of several grating structures, such as rectangular, sinusoidal, triangle, and trapezoidal shapes, are determined by the RROM, and they are compared with those obtained by conventional methods of the ray-optics method (ROM) and the coupled mode method (CMM). In the case of rectangular gratings, the coupling coefficients is evaluated in detail by various depths and duty-cycles of the grating. We have found that the RROM gives more exact solutions for the coupling coefficients of even arbitrary shapes of diffractive waveguide grating devices than the other conventional methods.

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Aerodynamic loads and aeroelastic responses of large wind turbine tower-blade coupled structure in yaw condition

  • Ke, S.T.;Wang, T.G.;Ge, Y.J.;Tamura, Y.
    • Structural Engineering and Mechanics
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    • v.56 no.6
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    • pp.1021-1040
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    • 2015
  • An effective method to calculate aerodynamic loads and aeroelastic responses of large wind turbine tower-blade coupled structures in yaw condition is proposed. By a case study on a 5 MW large wind turbine, the finite element model of the wind turbine tower-blade coupled structure is established to obtain the modal information. The harmonic superposition method and modified blade-element momentum theory are used to calculate aerodynamic loads in yaw condition, in which the wind shear, tower shadow, tower-blade modal and aerodynamic interactions, and rotational effects are fully taken into account. The mode superposition method is used to calculate kinetic equation of wind turbine tower-blade coupled structure in time domain. The induced velocity and dynamic loads are updated through iterative loop, and the aeroelastic responses of large wind turbine tower-blade coupled system are then obtained. For completeness, the yaw effect and aeroelastic effect on aerodynamic loads and wind-induced responses are discussed in detail based on the calculating results.

Mach-Zehnder Type Tandem Optical Switch/Modulator using a Single-Mode Interconnecting Waveguide and Its Switching Characteristics

  • Choi, Young-Kyu
    • Journal of Electrical Engineering and Technology
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    • v.4 no.2
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    • pp.287-291
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    • 2009
  • In this paper, an optical switch/modulator is designed and its light propagating characteristics analyzed using a simplified BPM. The distinctive feature of this switch/modulator is that all its waveguide branches are designed as single-mode. The principle of the device is based on the coupled mode theory in the Y-junction interconnecting waveguide. In spite of the fact all waveguides are designed as single-mode, by adjusting the interconnecting waveguide length'of the device the same characteristics as existing up to date devices are obtainable. Numerical results show that the switching characteristics periodically depend upon an interconnecting waveguide length with a spatial of about $150^{{\mu}m}$ in the $Ti:LiNbO_3$ step index waveguide. The design concept would therefore be utilized effectively in fabricating a monolithic high density optical integrated circuit.

Lumped Element MMIC Direction Coupler Based on Parallel Coupled-Line Theory (평행 결합선로 이론에 근거한 MMIC 집중 소자형 방향성 결합기)

  • Kang Myung-Soo;Park Jun-Seok;Lee Jae-Hak;Kim Hyeong-Seok
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.53 no.11
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    • pp.577-582
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    • 2004
  • In this paper, lumped equivalent circuits for a conventional parallel directional coupler are proposed. This equivalent circuits only have self inductance and self capacitance, so we can design exact lumped equivalent circuit. The equivalent circuit and design formula for the presented lumped element coupler is derived based on the even- and odd-mode properties of parallel-coupled line. By using the derived design formula, we have designed the 3dB and 4.7dB MMIC couplers at the center frequency of 3.4GHz and 5.6GHz respectively. Measurements for the designed MMIC directional couplers show at 4dB and 5.2dB-coupling value at the center frequency of 3.4GHz and 5.6GHz. Excellent agreements between simulation results and measurement results on the designed directional couplers show the validity of this paper

Modal analysis of cracked cantilever composite beams

  • Kisa, Murat;Arif Gurel, M.
    • Structural Engineering and Mechanics
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    • v.20 no.2
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    • pp.143-160
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    • 2005
  • Modal analysis of cracked cantilever composite beams, made of graphite-fibre reinforced polyamide, is studied. By using the finite element and component mode synthesis methods, a numeric model applicable to investigate the vibration of cracked composite beams is developed. In this new approach, from the crack section, the composite beam separated into two parts coupled by a flexibility matrix taking into account the interaction forces. These forces are derived from the fracture mechanics theory as the inverse of the compliance matrix calculated with the proper stress intensity factors and strain energy release rate expressions. Numerical results are obtained for modal analysis of composite beams with a transverse non-propagating open crack, addressing the effects of the location and depth of the crack, and the volume fraction and orientation of the fibre on the natural frequencies and mode shapes. By means of modal data, the position and dimension of the defect can be found. The results of the study confirmed that presented method is suitable for the vibration analysis of cracked cantilever composite beams. Present technique can be easily extended to composite plates and shells.

BPM Design Optimization of Mach-Zehnder Type Tandem Optical Switch and Its Operational Characteristics (2단 종속 접속 마하젠더형 광스위치의 BPM 최적설계 및 동작특성)

  • Choi, Young-Kyu;Kim, Gi-Rae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.10
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    • pp.1829-1834
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    • 2008
  • An optical switch/modulator is designed and the light propagating characteristics is analyzed by the simplified BPM. The distinctive feature of the switch/modulator is that all the waveguide branches are designed to be single-mode. Principle of the device is based on the coupled mode theory in the Y-junction interconnecting waveguide. In spite of all the waveguides are designed to be single-mode, adjusting the interconnecting waveguide length of the device, the same characteristics as existing device up to date is obtainable. Numerical results show that the switching characteristics periodically depends on the interconnecting waveguide length with a spatial of about 150${\mu}m$ in the Ti:LiNbO3 step index waveguide. The concept of design would be utilized effectively in fabricating the monolithic high density of optical integrated circuit.