• Title/Summary/Keyword: 근사해석법

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Development of Meta Model of Transfer Function for Wavemaker of Deep Ocean Engineering Basin (심해공학수조 조파기 전달함수 근사 모델 개발)

  • Seunghoon, Oh;Eun-Soo, Kim;Sungjun, Jung
    • Journal of Navigation and Port Research
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    • v.46 no.6
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    • pp.471-482
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    • 2022
  • This study aims to investigate the characteristics of wave generation in a deep ocean engineering basin and to develop a meta-model of the transfer function of the wavemaker that reflects the geometric characteristics of the deep ocean engineering basin. To this end, the two-dimensional frequency domain boundary element method was applied to achieve an efficient analysis that reflects the geometric characteristics of the deep ocean engineering basin. The developed numerical method was validated through comparison with the analytical solution. Numerical analyses were conducted for the boundary value problem of the wavemaker according to various periods and the positions of the movable bottom. The numerical results were used to investigate the effect of the geometric characteristics of the deep ocean engineering basin on the transfer function of the wavemaker, and the effect of depth on wave generation was checked by changing the position of the movable bottom. To efficiently utilize the various results of the boundary element method, a meta-model, an approximate model of the transfer function of the wave maker, was developed using a thin plate spline interpolation model. The validity of the developed meta-model was confirmed through a comparison of the results of the model tests.

Moving Least Squares Interface Welding Method for Coupled Analysis of Independently Modeled Finite Element Substructures (독립적으로 모델링된 유한요소 부분구조물 시스템의 통합 연계해석을 위한 이동최소자승 정계접합법의 개발)

  • An, Jae-Mo;Song, You-Me;Choi, Dong-Whan;Cho, Jin-Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.10
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    • pp.26-34
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    • 2005
  • In this paper, a novel moving least squares interface welding method is proposed to carry out the coupled analysis of whole model composed of independently modeled finite element substructures with nodal mismatching interfaces. To verify the validity, and efficiency of the proposed interface welding method, various numerical examples are worked out including patch tests, convergence tests, and examples of coupled analyses of the structural systems with mismatching substructures. From the numerical tests, it is confirmed that one can efficiently carry out the coupled analysis of whole model composed of mismatching finite element substructures through the proposed method without any remeshing or any additional unknown.

Random Vibration Analysis of Nonlinear Stochastic System under Earthquake Using Statistical Method (지진하중을 받는 비선헝 추계적 시스템의 불규칙진동해석)

  • Moon, Byung-Young;Kang, Gyung-Ju;Kang, Beom-Soo
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.6
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    • pp.55-64
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    • 2001
  • Industrial machines are sometimes exposed to the danger of earthquake. In the design of a mechanical system, this factor should be accounted for from the viewpoint of reliability to analyze a complex nonlinear structure system under random excitation is proposed. First, the actual random excitation, such as earthquake, is approximated to the corresponding Gaussian process for the statistical analysis. The modal equations of overall system are expanded sequentially. Then, the perturbed equations are synthesized into the overall system and solved in probabilistic way. Several statistical properties of a random process that are of interest in random vibration are evaluated in each substructure. Comparing with the results of the numerical simulation proved the efficiency of the proposed method.

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Analysis of Polarization Mode Dispersion in Nonlinear Optical Pulse propagation by SS-FEM adopting Approximated Sparse Matrix (희귀 행렬 근사 S-FEM을 이용한 비선형 광펄스의 편광 모드 분산 해석)

  • 한대우;이호준;정백호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.6A
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    • pp.825-832
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    • 2000
  • 광섬유 통신 시스템이 고속화되고 장거리를 전송하게 될 수록 편광모드 분산의 중요성은 더욱 부각되어 있다. 따라서 본 논문에서는 복굴절 광섬유에서 비선형 광펄스의 전파특성을 편광 모드 분산의 영향을 고려하여 시뮬레이션하였으며 이러한 현상이 발생되는 것을 알 수 있었다. 그리고 광섬유 비션형성에 의해서 GVD(Group Velocity Dispersion)와 마찬가기로 PMD(Polarization Mode Dispersion)에서도 부분적인 보상 현상이 나타남을 수치 결과를 통해 알 수 있었다. 이러한 광 전송 시뮬레이션을 구현하기 위해서 기존의 단계분할 푸리에 방식 (SS-FM, Split-Step Fourier Method)보다 장거리 전송시 오차의 발생이 적은 단계 분할 유한 요소법)SS-FEM, Split-Step Finite Element Method)을 적용하였으며, 또한 그 단점인 수행 속도를 개선한 희귀 행렬 근사 단계 분할 유한 요소법을 제안하였다. 그 결과 제안된 방법이 기존의 푸리에 연산법이나 일반적인 유한 요소법과 비교하여 더 빠른 수행 속도를 나타내는 것을 알 수 있었다.

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Fast Simulation of Output Voltage for High-Shock Piezoresistive Microaccelerometer Using Mode Superposition Method and Least Square Method (모드중첩법 및 최소자승법을 통한 고충격 압저항 미소가속도계의 출력전압 해석)

  • Han, Jeong-Sam;Kwon, Ki-Beom
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.7
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    • pp.777-787
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    • 2012
  • The transient analysis for the output voltage of a piezoresistive microaccelerometer takes a relatively high computation time because at least two iterations are required to calculate the piezoresistive-structural coupled response at each time step. In this study, the high computational cost for calculating the transient output voltage is considerably reduced by an approach integrating the mode superposition method and the least square method. In the approach, data on static displacement and output voltage calculated by piezoresistive-structural coupled simulation for three acceleration inputs are used to develop a quadratic regression model, relating the output voltage to the displacement at a certain observation point. The transient output voltage is then approximated by a regression model using the displacement response cheaply calculated by the mode superposition method. A high-impact microaccelerometer subject to several types of acceleration inputs such as 100,000 G shock, sine, step, and square pulses are adopted as a numerical example to represent the efficiency and accuracy of the suggested approach.

Free-surface Boundary Condition in Time-domain Elastic Wave Modeling Using Displacement-based Finite-difference Method (시간영역 변위근사 유한차분법의 자유면 경계조건)

  • Min Dong-Joo;Yoo Hai Soo
    • Geophysics and Geophysical Exploration
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    • v.6 no.2
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    • pp.77-86
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    • 2003
  • We designed a new time-domain, finite-difference, elastic wave modeling technique, based on a displacement formulation. which yields nearly correct solutions to Lamb's problem. Unlike the conventional, displacement-based, finite-difference method using a node-based grid set (where both displacements and material properties such as density and Lame constants are assigned to nodal points), in our new finite-difference method, we use a cell-based grid set (where displacements are still defined at nodal points but material properties within cells). In the case of using the cell-based grid set, stress-free conditions at the free surface are naturally described by the changes in the material properties without any additional free-surface boundary condition. Through numerical tests, we confirmed that the new second-order finite differences formulated in the cell-based grid let generate numerical solutions compatible with analytic solutions unlike the old second-order finite-differences formulated in the node-based grid set.

Radiation Impedance and Directional characteristics of Piezoelectric Cylinder Transducer for Various Mechanical Boundary Conditions. (기계적 경계조건에 대한 원통형 압전 변환기의 방사임피던스 및 지향특성변화)

  • 윤종락
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1992.06a
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    • pp.91-95
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    • 1992
  • 개영역(open boundary) 내의 변환기에 대한 음장 특성은 경계 조건이 좌표계와 정합되는 특수한 경우 헤름홀쯔 방정식풀이로 그렇지 않은 복잡한 형태의 음장에 대해서는 경계적분법이나 근사해법으로 얻어진다. 그러나 최근 이러한 문제들은 발달된 컴퓨터의 계산능력으로 유한요소법이나 경계요소법을 이용한 수치해법으로 해결되고 있다. 본 연구에서는 경계조건 변화에 따른 원통형 압전변환기의 방사임피던스 및 지향특성을 유한요소법 및 하이브리드형 무한요소법을 이용하여 구하고 기존의 해석적 결과와 비교하여 수중용 변환기 제작의 설계에 대한 기초자료를 제공하고자 한다.

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3차원 육방형 노심 해석을 위한 다항식전개법(PEN)

  • 조진영;김창효
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.10a
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    • pp.61-66
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    • 1995
  • 이 논문의 목적은 육방형 핵연료집합체로 구성된 3차원 노심을 해석하기 위한 다항식전개법을 개발하는 것이다. 이를 위해 3차원 육방형 핵연료 집합체를 6개의 3차원 프리즘노드로 분할하였다. 그리고 각 꼭지점에서의 점중성자속, 프리즘 각면의 면중성자속과 노드평균중성자속을 미지변수로 하여 다항식전개법에 의해 프리즘노드내의 중성자속분포를 근사하였다. 각 중성자속간의 관계식으로서 프리즘노드내에서의 노달중성자평형식, 두 노드사이의 면에서의 중성자류 연속관계식, 각 꼭지점에서의 중성자누설평형식을 사용하였다. 다항식전개법은 해석함수 전개법에 비해 약 3배정도 빠르며 4군확산방정식에도 훌륭이 적용되었다. 그리고 VVBR-1000 3차원 벤치마크 문제에서 최대출력오차 2.6%, VVER-440 3차원 벤치마크 문제에서 12 평면과 24평면으로 나눈 경우 각각 최대출력오차 15%와 6.6%, SNR 3차원 문제에서 8 평면과 16 평면으로 나눈 경우 각각 최대오차 5.4%와 2,6%를 보였다.

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Application Limits of Transmission Line Approximations for Design of Electromagnetic Absorbers (전파흡수체 설계에 있어서 전송선로 근사방법의 적용 한계)

  • 정연춘;김병욱;박동철
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.10 no.3
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    • pp.449-459
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    • 1999
  • The scattering problems from electromagnetic absorbers can be greatly simplified using the transmission line approximations (TLA) and effective medium theory. This method has been widely used for the absorber design because of its very simple calculation and intuitional approach, while numerical analysis needs the tremendous computation requirements, This paper examined the accuracy and limitations originated by the intrinsic approximation limits of TLA by comparison with FEM results for various absorber design examples. It was found that the TLA result is valid when λ $\geq$ 2p, where λ is the wavelength of the interested upper frequency and p is the distance between two periodic cone arrays. Therefore, the electromagnetic absorbers having high material properties and big base-area commonly do not meet this condition, and the electromagnetic scattering from those absorbers must be evaluated by the numerical analysis in those cases.

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Flexural Vibration of a Bar with Periodically Nonuniform Material Properties (재질이 주기적으로 불균일한 보의 굽힘 진동 해석)

  • 김진오;문병환;김준태
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.3
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    • pp.73-78
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    • 1999
  • The paper describes a theoretical study on the flexural vibration of an elastic flat bar with periodically nonuniform material properties. The approximate solution of the natura1 frequency and mode shape has been obtained using the perturbation technique for sinusoidal modulation of the flexural rigidify and mass density. The numerical solution obtained by using the finite element method verifies the trend of the approximate solution. It appears that distributed vibrations exist in the low modes, and this approach can be extended to the vibration analysis of the p1ate in the flat panel speaker.

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