• Title/Summary/Keyword: Mode expansion method

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Beat Maps of King Song-Dok Bell (성덕대왕신종의 맥놀이 지도)

  • Kim, Seock-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.498-504
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    • 2002
  • Vibration beat phenomenon is theoretically investigated on a slightly asymmetric cylindrical shell, which is a simplified model of Korean bell. Mode pairs of the slightly asymmetric shell are obtained by receptance analysis and impulse response of the shell is derived using modal expansion and Laplace transform. Based on the impulse response model, beat mapping method is proposed to explain the reason that the beat of a bell vibration shows periodic distribution on the circumference. Beat characteristics of King Song-Dok Bell are explained in detail using the beat map and the measured modal data.

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A Numerical Study on the Fluid Flow Past a Cylinder with a Periodic Array of Circular Fins (원형 핀이 부착된 실린더 주위의 유체 유동에 관한 수치적 연구)

  • Lee, Dong-Hyuk;Ha, Man-Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.12 s.243
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    • pp.1344-1351
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    • 2005
  • Three-dimensional, time-dependent solutions of fluid flow past a circular cylinder with a periodic array of circular fins are obtained using an accurate and efficient spectral multidomain methodology. A Fourier expansion with a corresponding uniform grid is used along the circumferential direction. A spectral multidomain method with Chebyshev collocation is used along the r-z plane to handle the periodic array of circular fins attached to the surface of the cylinder. Unlike the flow past a circular cylinder, Second instabilities like mode A and mode B are not found in the Reynolds number range $100\~500$. It is found that three-dimensional instability of vortical structures is suppressed due to the presence of fin. The present numerical solutions report the detailed information of flow quantities near wake of finned cylinder.

E-Polarized Reflection Coefficient by a Tapered Resistive Strip Grating with Infinite Resistivity at Strip-Edges (저항면의 양 끝에서 무한대로 변하는 저항률을 갖는 조기격자에 의한 E-분극 반사계수)

  • 윤의중;양승인
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.2
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    • pp.60-66
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    • 1994
  • The scattering problem by E-polarized plane wave with oblique incidence on a tapered resistive strip grating with infinite resistivity at strip-edges is analyzed by the method of moments in the spectral domain. Then the induced surface current density is expanded in a series of Ultraspherical polynomials of the zeroth order. The expansion coefficients are calculated numerically in the spectral domain, the numerical results of the geometricoptical reflection coefficient for the tapered resistivity in this paper are compared with those for the existing uniform resistivity. And the position of sharp variation points in the magnitude of the geometric-optical reflection coefficient can be moved by varying the incident angle and the strip spacing. It is found out that these sharp variation points are due to the transition of higher modes between the propagation mode and the evanescent mode.

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The Optimal Design of HFC by means of GAs (유전자 알고리즘을 이용한 HFC의 최적설계)

  • 이대근;오성권;장성환
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.369-369
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    • 2000
  • Control system by means of fuzzy theory has demonstrated its robustness in applying to the high-order and nonlinear dynamic system in that it can utilizes the human expert knowledges in system design. In this paper, first, the design methodology of HFC combined PID controller with fuzzy controller by membership function of weighting coefficient is proposed. Second, Second, an auto-tuning algorithms utilizing the simplified reasoning method and genetic algorithms is presented to improve the performance of hybrid fuzzy controller. Especially, in order to obtain the optimal scaling factors and PID parameters of HFC using GA based on advanced initial individual, three kinds of estimation modes such as basic, contraction, and expansion mode are effectively utilized. The proposed HFC is evaluated and discussed in ITAE, overshoot and rising time to show applicability and superiority with simulation results.

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Theoretical Computation of the Capacitance of an Asymmetric Coplanar Waveguide

  • Song, Chan Mi;Kwon, Gina;Lee, Jong Min;Lee, Kang-Yoon;Yang, Youngoo;Hwang, Keum Cheol
    • Journal of Electrical Engineering and Technology
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    • v.13 no.1
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    • pp.393-399
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    • 2018
  • An electrostatic boundary-value problem of a dielectric-wedge-backed, double-slotted conducting wedge is investigated to analyze an asymmetric coplanar waveguide with an infinite dielectric thickness using the Mellin transform and a mode-matching method. Our theoretical solution based on eigenfunction expansion and residue calculus is a rigorous and fast-convergent series form. Numerical computations are conducted to evaluate the potential field, capacitance, and characteristic impedance for various structures of the asymmetric coplanar waveguide. The computed results show good agreement with the simulated results.

Highly-Dispersive Guided Modes of Two-Dimensional Photonic Crystal Waveguides

  • Kim, Guk-Hyun;Lee, Yong-Hee
    • Journal of the Optical Society of Korea
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    • v.7 no.1
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    • pp.38-41
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    • 2003
  • We present an analysis of highly-dispersive guided modes of two-dimensional photonic crystal waveguides. By the plane ave expansion method, band structures and mode profiles of two-dimensional photonic crystal waveguides are obtained. It is found that guided modes have very small group velocities and very large group velocity dispersions in the region near the f-point and in the region near the Brillouin zone edge. Especially, the group velocity dispersions are found to be millions of times larger than that of a conventional optical fiber. The contributions of the transverse resonance formed by two photonic band gap reflectors and the standing wave mode formed by periodic structures are discussed. We conclude that the highly-dispersive characteristics originate from the resonator-like aspect of the photonic crystal waveguide.

Optimal sensor placement for mode shapes using improved simulated annealing

  • Tong, K.H.;Bakhary, Norhisham;Kueh, A.B.H.;Yassin, A.Y. Mohd
    • Smart Structures and Systems
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    • v.13 no.3
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    • pp.389-406
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    • 2014
  • Optimal sensor placement techniques play a significant role in enhancing the quality of modal data during the vibration based health monitoring of civil structures, where many degrees of freedom are available despite a limited number of sensors. The literature has shown a shift in the trends for solving such problems, from expansion or elimination approach to the employment of heuristic algorithms. Although these heuristic algorithms are capable of providing a global optimal solution, their greatest drawback is the requirement of high computational effort. Because a highly efficient optimisation method is crucial for better accuracy and wider use, this paper presents an improved simulated annealing (SA) algorithm to solve the sensor placement problem. The algorithm is developed based on the sensor locations' coordinate system to allow for the searching in additional dimensions and to increase SA's random search performance while minimising the computation efforts. The proposed method is tested on a numerical slab model that consists of two hundred sensor location candidates using three types of objective functions; the determinant of the Fisher information matrix (FIM), modal assurance criterion (MAC), and mean square error (MSE) of mode shapes. Detailed study on the effects of the sensor numbers and cooling factors on the performance of the algorithm are also investigated. The results indicate that the proposed method outperforms conventional SA and Genetic Algorithm (GA) in the search for optimal sensor placement.

Free Vibration of a Rectangular Plate Partially in Contact with a Liquid at Both Sides (양면에서 부분적으로 유체와 접하는 사각평판의 고유진동)

  • Jeong, Kyeong-Hoon;Lee, Gyu-Mahn;Kim, Tae-Wan;Park, Keun-Bae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.1
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    • pp.123-130
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    • 2008
  • An analytical method for the free vibration of a flexible rectangular plate in contact with water is developed by the Rayleigh-Ritz method. The plate clamped along the edges is partially contacted with water at both sides. It is assumed that the contained water is incompressible and inviscid. The wet mode shape of the plate is assumed as a combination of the dry mode shapes of a clamped beam. The liquid motion is described by using the liquid displacement potential and determined by using the compatibility conditions along the liquid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict excellently the fluid-coupled natural frequencies comparing with the finite element analysis result.

The Analysis of Resonance Characteristics of Asymmetric Dielectric Rod Resonator by Using Eigenfunction Expansion Method (고유함수 전개법을 이용한 비대칭 유전체 원주공진기의 공진특성 해석)

  • Min, Kyung-Ho;Ryu, Won-Yul;Choi, Hyun-Chul
    • Journal of Sensor Science and Technology
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    • v.8 no.5
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    • pp.407-413
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    • 1999
  • The resonant frequency of dielectric rod resonator can be calculated very accurately by means of the concept of electric and magnetic walls from the symmetry. But in a real situation, when the supporter is placed in the cavity, asymmetry appears due to the supporter and its dielectric constant. Then we need research into the resonance characteristic of asymmetric dielectric resonator. In this paper, for the dielectric rod resonator which is placed in the asymmetric position in the conducting cavity, the equation for resonance characteristic was derived and the resonant frequency was calculated with the eigenfunction expansion method. We found that the calculated resonant frequency is very accurate when it was compared with the experimental result and that asymmetry affects the resonant frequency more in TM mode than in TE or in hybrid mode.

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Investigation of Importance of Evanescent Modes in Predicting the Transformation of Water Waves by the Linear Wave Theory: 2. Numerical Experiments (선형파 이론에 의한 파랑변형 예측시 소멸파 성분의 중요성 검토 2. 수치 실험)

  • 이창훈;조대희;조용식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.1
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    • pp.51-58
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    • 2003
  • The magnitude of evanescent modes in terms of dynamics it investigated in case that the transformation of water waves is predicted by the linear wave theory. For the waves propagating over two steps, the eigenfunction expansion method is used to predict the amplitudes of reflected and transmitted waves by the component of evanescent modes as well as propagating modes. Then. the relative importance of evanescent modes to the propagating modes is investigated. The numerical experiments find that the evanescent modes are pronounced at the relative water depth of k$_1$h$_1$=0.11$\pi$ and the water depth ratio of h$_2$/h$_1$ close to zero.