• 제목/요약/키워드: modal expansion

검색결과 116건 처리시간 0.026초

3차원 유한요소법에 의한 도파로의 불연속 특성 해석 (Analysis of Transmission-line Discontinuities by 3-dimensional Finite Element Method)

  • 이상수;안창회;정봉식;이수영
    • 전자공학회논문지A
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    • 제28A권5호
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    • pp.355-360
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    • 1991
  • A transmission-line discontinuities are analyzed by Finite Element Method. We use quasi-static approxmation to determine the circuit parameters of discontinuities. Delta formulation is introduced so that the cancellation error of potential calculation is reduced. To verify this method, capacitance of coaxial cable with discontinuous and coupling capacitances are calculated by modal expansion. This approach can be used for arbitrary discontinuous conducting patterns of microwave devices.

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Prediction of the Radiated Emission(RE)s due to the PCB Power-Bus' Resonance Modes and Mitigation of the RE Levels

  • Kahng, Sung-Tek
    • Journal of electromagnetic engineering and science
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    • 제7권1호
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    • pp.7-11
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    • 2007
  • PCB Power-Bus (comprising power/ground planes) impedance and fields are evaluated by an efficient series expansion method that is suggested in this paper. It is used to investigate the structure's radiated emission(RE) levels and find acceptable ways of loading the power/ground planes such as decoupling capcitor(DeCap)s, balanced feeding and slits, in order to reduce the interferences. Also, the calculations and measurements of a proposed geometry are verified by vector fitting as a analysis model to check the behavior of the slit.

Design of exhaust manifold for pulse converters considering fatigue strength due to vibration

  • Cho, Kyung-Sang;Son, Kyung-Bin;Kim, Ue-Kan
    • Journal of Advanced Marine Engineering and Technology
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    • 제37권7호
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    • pp.694-700
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    • 2013
  • The design of the exhaust manifold for the pulse converters of a 4 strokes high power medium-speed diesel engine is presented in terms of fatigue analysis. The said system undergoes thermal expansion due to high temperature of exhaust gas and is exposed to intrinsic vibration of the internal combustion engine. Moreover, the exhaust pulse generates pressure pulsating along the runner inside manifold. Under such circumstances, the design and construction of exhaust manifold must be carried out in a way to prevent early failure due to fracture. To validate the design concept, a test rig was developed to simulate the combination of thermal and vibrational movements, simultaneously. Experimental results showed that a certain sense of reliability can be achieved by considering a field factor obtained from the results of engine bench tests.

유연우주비행체의 선회 및 진동억제를 위한 Torque Shaping 기법에 관한 연구 (A study on torque shaping method for slewing and vibration suppression of flexible structures)

  • 문종윤;석진영;김유단
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1087-1090
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    • 1996
  • The objective of this paper is to present a new input torque shaping method for slewing and vibration suppression of flexible structure based on Fourier series expansion. Vibration energy of the structure with shaped control input is investigated with respect to the shaping parameter of the reference torque, maneuver time and the number of trigonometric functions to be included in the series. Analytic expressions of the performance indices and their derivatives are derived in the modal coordinates. Numerical results show the effectiveness of the proposed approach to design the open-loop control law that modifies the shape of input torque for simultaneous slewing and vibration suppression.

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동하중 하에서 축소 모델의 구성과 전체 시스템 응답과의 비교 연구 (Study on the Time Response of Reduced Order Model under Dynamic Load)

  • 박수현;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 가을 학술발표회 논문집
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    • pp.11-18
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    • 2004
  • In this paper, an efficient model reduction scheme is presented for large scale dynamic systems. The method is founded on a modal analysis in which optimal eigenvalue is extracted from time samples of the given system response. The techniques we discuss are based on classical theory such as the Karhunen-Loeve expansion. Only recently has it been applied to structural dynamics problems. It consists in obtaining a set of orthogonal eigenfunctions where the dynamics is to be projected. Practically, one constructs a spatial autocorrelation tensor and then performs its spectral decomposition. The resulting eigenfunctions will provide the required proper orthogonal modes(POMs) or empirical eigenmodes and the correspondent empirical eigenvalues (or proper orthogonal values, POVs) represent the mean energy contained in that projection. The purpose of this paper is to compare the reduced order model using Karhunen-Loeve expansion with the full model analysis. A cantilever beam and a simply supported plate subjected to sinusoidal force demonstrated the validity and efficiency of the reduced order technique by K-L method.

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Fourier 급수전개를 이용한 유체로 가득 채워진 원통형 셸의 고유진동 해석 (Fourier Series Expansion Method for Free Vibration Analysis of a Fully Liquid-Filled Circular Cylindrical Shell)

  • 정경훈;이성철
    • 소음진동
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    • 제4권2호
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    • pp.137-146
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    • 1994
  • An analytical method for linear free vibration of fully liquid-filled circular cylindrical shell with various boundary conditions is developed by the Fourier series expansion based on the Stokes' transformation. A set of modal displacement functions and their derivatives of a circular cylindrical shell is substituted into the Sanders' shell equations in order to explicitily represent the Fourier coefficients as functions of the end point displacements, forces, and moments. For the vibration relevant to the liquid motion, the velocity potential of liquid is assumed as a sum of linear combination of suitable harmonic functions in the axial directions. The unknown parameter of the velocity potential is selected to satisfy the boundary condition along the wetted shell surface. An explicit expression of the natural frequency equation can be obtained for any kind of classical boundary conditions. The natural frequencies of the liquid-filled cylindrical shells with the clamped-free, the clamped-clamped, and the simply supported-simply supported boundary conditions examined in the previous works, are obtained by the analytical method. The results are compared with the previous works, and excellent agreement is found for the natural frequencies of the shells.

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초대형 부유식 해양구조물의 유탄성 응답에 대한 해석 방법 (Analysis Methods of Hydroelastic Responses for a Very Large Floating Structure)

  • 이호영
    • 한국해양공학회지
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    • 제14권2호
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    • pp.19-27
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    • 2000
  • In this paper hydroelastic responses of a very large floating structure(VLFS) are studied theoretically. We have been developed the source and dipole distribution method and pressure distribution method to evaluate the hydrodynamic pressures. The problem of vertical structural responses due to waves are calculated by using finite element method(FEM) and modal expansion method of a free-free beam Hydroelastic responses of VLFS in waves are computed by four methods developed in this paper. As a result the theoretical results of motion responses show good agreements with experimental ones.

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복합대중교통망의 링크표지갱신 다목적 경로탐색 (A Link-Based Label Correcting Multi-Objective Shortest Paths Algorithm in Multi-Modal Transit Networks)

  • 이미영;김형철;박동주;신성일
    • 대한교통학회지
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    • 제26권1호
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    • pp.127-135
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    • 2008
  • 교통망에서 출발지와 도착지를 연결하는 최적경로탐색(Optimum Shortest Path)의 기준은 통행시간, 통행비용, 통행요금, 통행거리 등 복수의 기준에서 단일기준(Single Attribute Objective)을 선정하여 선정된 기준에 대하여 최소화되는 경로를 탐색하는 것을 의미하며 최적경로 탐색기법으로 탐색이 가능하다. 다목적 경로탐색(Multi-Objective Shortest Paths)에서는 이들 복수의 기준 (Multi-Objective)을 고려하여 경로를 탐색한다. 최근까지 다목적경로탐색에 대한 연구는 대부분 단일의 교통수단만으로 구성된 교통망에 대한 가정을 기반으로 이루어졌으며, 다수의 교통수단이 혼재된 교통망(Multi-Modal Transportation Network)에서 다목적경로탐색에 대한 연구는 환승에 대한 문제를 최적해법 차원에서 고려하지 않았으며, 교통정보 분야에서 일반적으로 적용되는 동적계획법(Dynamic Programming)에 기반한 알고리즘에 대한 연구는 다수단교통망에서 다목적경로탐색 문제에서 검토되지 않았다. 본 연구는 다수단교통망에서 다목적경로탐색 문제에서 최적 해를 도출하기 위한 동적계획법 알고리즘을 제안한다. 제안된 알고리즘은 Skriver & Andersen (2000)이 제시한 2기준 노드표지갱신 알고리즘을 기반으로 네트워크의 확장없이 수단 간의 환승이 반영되도록 2기준 이상의 다기준 링크표지갱신 알고리즘으로 개발하는 방안으로 확대한다. 본 연구는 다기준 링크표지가 다수단 교통망에 적용했다는 점 이외에, 출발지에서 모든 링크까지 비지배경로를 탐색하는 과정이 효율적으로 이루어지도록 출발지에서 개별 링크까지의 비지배경로/트리(Path/Tree) 집합을 표지처럼 활용하였다. 다수단교통망에서 다목적경로탐색문제에 적합한 도시부의 대중교통망에 한정하여 경로탐색속성을 환승과 링크주행속성으로 구분하였다. 본 연구에서 제안된 알고리즘의 계산과정을 소규모 복합대중교통망을 통해 검증하였다.

A comprehensive analysis on the discretization method of the equation of motion in piezoelectrically actuated microbeams

  • Zamanian, M.;Rezaei, H.;Hadilu, M.;Hosseini, S.A.A.
    • Smart Structures and Systems
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    • 제16권5호
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    • pp.891-918
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    • 2015
  • In many of microdevices a part of a microbeam is covered by a piezoelectric layer. Depend on the application a DC or AC voltage is applied between upper and lower side of the piezoelectric layer. A common method in many of previous works for evaluating the response of these structures is discretizing by Galerkin method. In these works often single mode shape of a uniform microbeam i.e. the microbeam without piezoelectric layer has been used as comparison function, and so the convergence of the solution has not been verified. In this paper the Galerkin method is used for discretization, and a comprehensive analysis on the convergence of solution of equation that is discretized using this comparison function is studied for both clamped-clamped and clamped-free microbeams. The static and dynamic solution resulted from Galerkin method is compared to the modal expansion solution. In addition the static solution is compared to an exact solution. It is denoted that the required numbers of uniform microbeam mode shapes for convergence of static solution due to DC voltage depends on the position and thickness of deposited piezoelectric layer. It is shown that when the clamped-clamped microbeam is coated symmetrically by piezoelectric layer, then the convergence for static solution may be obtained using only first mode. This result is valid for clamped-free case when it is covered by piezoelectric layer from left clamped side to the right. It is shown that when voltage is AC then the number of required uniform microbeam shape mode for convergence is much more than the number of required mode in modal expansion due to the dynamic effect of piezoelectric layer. This difference increases by increasing the piezoelectric thickness, the closeness of the excitation frequency to natural frequency and decreasing the damping coefficient. This condition is often indefeasible in microresonator system. It is concluded that discreitizing the equation of motion using one mode shape of uniform microbeam as comparison function in many of previous works causes considerable errors.

구조 방사 소음의 해석을 위한 구조물의 진동 획득 방법의 비교 (Comparison of various methods to obtain structural vibration for vibro-acoustic noise)

  • 왕세명;신민철;구건모;김대성;배원기;경용수;김정선;국정환
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.607-611
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    • 2006
  • There are several methods to obtain structural vibration for analysis of vibro-acoustic noise. First of all, vibration data can be obtained through the structural analysis using finite element method. Although this method has no need to experiment, the analysis result is unreliable when the structure and the vibration source is complex to model exactly. The second method is to measure vibration using a number of sensors. The analyzed vibro-acoustic noise with directly measured data is setting morereliable when the number of data acquisition points is getting larger. However, it requires large amount of time and effort to measure all vibration data on every node especially when the size of vibrating structure is large. The Modal Expansion Method(MEM), which uses mode information and measurement data, has been introduced to compensate their limits. With a relatively small number of measurement data, the reliable structural vibration for vibro-acoustic noise can be obtained using this semi-analysis method. Although MEM gives reliable result, it is restricted by the number of modes and measurement points. In this paper, structural analysis, direct vibration measurement method and MEM are compared using the simple aluminum box model. Furthermore, the washing machine case is also provided as a comparative example. The Laser Doppler Vibrometer(LDV) was used instead of contact type accelerometer to get vibration data.

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