• Title/Summary/Keyword: 가우스법

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Effect of patch repair in aluminum plate with a circular hole by 3-D full layerwise model (완전 층별이론에 의한 원공을 갖는 알루미늄 판의 패치 보강 효과)

  • Shin, Young-Sik;Woo, Kwang-Sung;Ahn, Jae-Seok;Yang, Seung-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.304-307
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    • 2009
  • 본 논문에서는 3차원 모델링을 이용하여 원공을 갖는 알루미늄 판의 패치 보강효과에 대해 알아보고자 한다. 구조물의 노후화로 인해 높은 응력을 받는 부재의 응력 특이점에서 내구력이 급격하게 저하되거나 때로는 부재의 정적파괴를 유발시키는 원인을 제공한다. 이로 인해 과거에는 손상된 모재에 보강 재료를 연결시키기 위하여 리벳 또는 볼트와 같은 기계적 연결을 통해 보강하였으나 최근에는 접착패치보강 기법이 그 주류를 이루고 있다. 패치 보강시 일면 패치 보강으로 인하여 면외 휨 효과가 발생된다. 판의 두께 방향에 따른 응력집중계수를 별도로 분석하였다. 기존의 3차원 솔리드 요소는 해의 정확성은 뛰어난 반면에 상당한 컴퓨터 시간을 요구하는 단점을 가지고 있다. 이러한 문제를 극복하기 위해서, 본 논문에서는 각 층의 변위장을 2차원 형상함수와 1차원 형상함수의 조합으로 구성하여, 면내거동에 대한 p-세분화와 면외거동에 대한 p-세분화를 분리시키는 방식을 취한다. 또한, 에너지 함수의 적분시 Gauss-Lobatto 적분법을 사용하여 절점의 위치에서의 응력점을 구하는 경우, 외삽과정을 계산하는 단계를 생략하면서도, 해의 정확성 측면에서는 거의 차이가 없기 때문에 좀 더 효율적인 수치적분이 될 수 있다.

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Comparison of the Estimation-Before-Modeling Technique with the Parameter Estimation Method Using the Extended Kalman Filter in the Estimation of Manoeuvring Derivatives of a Ship (선박 조종미계수 식별 시 모델링 전 추정기법과 확장 Kalman 필터에 의한 계수추정법의 비교에 관한 연구)

  • 윤현규;이기표
    • Journal of the Society of Naval Architects of Korea
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    • v.40 no.5
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    • pp.43-52
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    • 2003
  • Two methods which estimate manoeuvring derivatives in the model of hydrodynamic force and moment acting on a manoeuvring ship using sea trial data were compared. One is the widely used parameter estimation method by using the Extended Kalman Filter (EKF), which estimates state variables of linearized state space model at every instant after dealing with the coefficients as the augmented state variables. The other one is the Estimation-Before-Modeling (EBM) technique, so called the two-step method. In the first step, hydrodynamic force of which dynamic model is assumed the third-order Gauss-Markov process is estimated along with motion variables by the EKF and the modified Bryson-Frazier smoother. Then, in the next step, manoeuvring derivatives are identified through the regression analysis. If the exact structure of hydrodynamic force could be known, which was an ideal case, the EKF method would be regarded as being more superior compared to the EBM technique. However the EBM technique was more robust than the EKF method from a realistic point of view where the assumed model structure was slightly different from the real one.

Prediction of Penetration and Heat Affected Zone by Using Finite Element Method in $CO_2$ Arc Welding (유한 요소법을 이용한 $CO_2$아아크 용접부의 용입깊이와 열영향부 크기 예측)

  • 이정익;박일철;박기영;엄기원
    • Journal of Welding and Joining
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    • v.10 no.4
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    • pp.222-229
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    • 1992
  • A prediction of penetration and heat affected zone by using Finite Element Method in CO$_{2}$ Arc Welding has been discussed this paper. The temperature distribution of a base metal produced by the CO$_{2}$ arc welding processing is analyzed by using a three dimensional finite element model. The common finite element program ANSYS 4.4A was employed to obtain the numerical results. Temperature dependent material properties, effect of latent heat, and the convective boundary conditions are included in the model. Numerically predicted sizes of the penetration and the heat affected zone are compared with the experimentally observed values. As a result, there was a slight difference between numerical analysis values and experimentally observed values. For in the case of heat affected zone, it was not considered a precise forced convective coefficient value, and in the case of penetration, it was not, considered a arc force.

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Evaluation of Stiffness Matrix of 3-Dimensional Elements for Isotropic and Composite Plates (등방성 및 복합재 플레이트용 16절점 요소의 강성행렬 계산)

  • 윤태혁;김정운;이재복
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.10
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    • pp.2640-2652
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    • 1994
  • The stiffness of 6-node isotropic element is stiffer than that of 8-node isotropic element of same configuration. This phenomenon was called 'Relative Stiffness Stiffening Phenomenon'. In this paper, an equation of sampling point modification which correct this phenomenon was derived for the composite plate, as well as an equation for an isotropic plate. The relative stiffness stiffening phenomena of an isotropic plate element could be corrected by modifying Gauss sampling points in the numerical integration of stiffness matrix. This technique could also be successfully applied to the static analyses of composite plate modeled by the 3-dimensional 16-node elements. We predicted theoretical errors of stiffness versus the number of layers that result from the reduction of numerical integration order. These errors coincide very well with the actual errors of stiffness. Therefore, we can choose full integration of reduced integration based upon the permissible error criterion and the number of layers by using the thoretically predicted error.

A study on the multifrontal method in interior point method (내부점 선형계획법에서의 멀티프런탈방법에 관한 연구)

  • 김병규;박순달
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.09a
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    • pp.370-380
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    • 1995
  • 선형계획법의 해법으로 최근에는 내부점기법(Interior Point Method)가 관심 을 끌고 있다. 이 내부점 기법은 계산복잡도 뿐만 아니라 수행속도면에서도 우수한 결과를 보이고 있다. 이 방법은 매 회 대칭양정치(Symmetric Positive Definite)인 선형시스템을 풀어야 하는데 이 과정이 전체 내부점 수 행시간의 80-90%를 차지한다. 따라서 내부점 기법의 수행속도는 대칭양정치 인 선형시스템을 효율적으로 푸는 방법에 달려 있다. 대칭양정치인 선형시스 템을 풀기 위해서는 상하분해를 이용하게 되는 데 가우스소거를 이용해서 상하 분해를 하는 경우 매 단계에서 행렬의 모든 요소를 가지고 있을 필요 가 없다. 행렬의 모든 요소에 대한 정보를 동시에 필요로 하지 않는다. 즉, 현 단계에서 가우스소거와 관련된 열들에 대한 정보만 있으면 상하 분해가 가능하고 이러한 개념을 이용한 방법이 프런탈방법이다. 프런탈 방법은 대형 선형계획 문제를 풀기에 유리하다는 장점이 있다. 이러한 프런탈 방법을 확 장해서 동시에 여러 개의 프런탈을 계산하는 방법이 멀티프런탈방법이다. 이 방법은 알고리듬 자체가 병렬처리에 적합하기 때문에 병렬처리와 관련해서 도 많은 연구가 수행되고 있다. 본 연구에서는 삭제나무(Elimination Tree)를 이용한 프런탈 방법과 프런탈방법에 슈퍼노드의 개념을 도입한 슈퍼노들 프 런탈방법등에 대해서 이제까지의 연구 현황을 알아보고 프런탈방법에 적합 하고 효율적인 자료 구조와 멀티프런탈 방법에 적용 가능한 병렬알고리듬에 대하여 연구하고자 한다. 본 연구결과 기대효과로는 프런탈 방법에 적합하고 효율적인 자료 구조와 멀티프런탈 방법에 적용 가능한 병렬알고리듬을 개발 함으로써 내부점 선형계획법의 수행속도의 개선에 도움이 될 것이다.성요소들을 제시하였다.용자 만족도가 보다 높은 것으 로 나타났다. 할 수 있는 효율적인 distributed system를 개발하는 것을 제시하였다. 본 논문은 데이타베이스론의 입장에서 아직 정립되어 있지 않은 분산 환경하에서의 관계형 데이타베이스의 데이타관리의 분류체계를 나름대로 정립하였다는데 그 의의가 있다. 또한 이것의 응용은 현재 분산데이타베이스 구축에 있어 나타나는 기술적인 문제점들을 어느정도 보완할 수 있다는 점에서 그 중요성이 있다.ence of a small(IxEpc),hot(Tex> SOK) core which contains two tempegatlue peaks at -15" east and north of MDS. The column density of HCaN is (1-3):n1014cm-2. Column density at distant position from MD5 is larger than that in the (:entral region. We have deduced that this hot-core has a mass of 10sR1 which i:s about an order of magnitude larger those obtained by previous studies.previous studies.업순서들의 상관관계를 고려하여 보다 개선된 해를 구하기 위한 연구가 요구된다. 또한, 준비작업비용을 발생시키는 작업장의 작업순서결정에 대해서도 연구를 행하여, 보완작업비용과 준비비용을 고려한 GMMAL 작업순서문제를 해결하기 위한 연구가 수행되어야 할 것이다.로 이루어 져야 할 것이다.태를 보다 효율적으로 증진시킬 수 있는 대안이 마련되어져야 한다고 사료된다.$\ulcorner$순응$\lrcorner$<

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Bending Effect of Laminated Plates with a Circular Hole Repaired by Single-Sided Patch Based on p-Convergent Full Layerwise Model (p-수렴 완전층별모델에 의한 일면패치로 보강된 원공 적층판의 휨효과)

  • Woo, Kwang-Sung;Yang, Seung-Ho;Ahn, Jae-Seok;Shin, Young-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.5
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    • pp.463-474
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    • 2009
  • Double symmetric patch repair of existing structures always causes membrane action only, however, in many cases this technique is not practical. On the other hand, the bending stiffness of the patch and the skin increases as tensile loading is increased and affects the bending deformation significantly in the case of single-sided patch repair. In this study, the p-convergent full layerwise model has been proposed to determine the stress concentration factor in the vicinity of a circular hole as well as across the thickness of plates with single-sided patch repair. In assumed displacement field, the strain-displacement relations and 3-D constitutive equations of a layer are obtained by the combination of 2-D and 3-D hierarchical shape functions. The transfinite mapping technique has been used to represent a circular boundary and Gauss-Lobatto numerical integration is implemented in order to directly obtain stresses occurred at the nodal points of each layer without other extrapolation techniques. The accuracy and simplicity of the present model are verified with comparison of the previous results in literatures using experiment and conventional 3-D finite element. Also, the bending effect has been investigated with various patch types like square, circular and annular shape.

Comparison of Two Methods for Analyzing Stress-Strain Behavior of Soil Beam (지반보의 응력-변형률 거동에 대한 해석법 비교)

  • Lee, Seung-Hyun;Han, Jin-Tae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.12
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    • pp.294-302
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    • 2018
  • To analyze the behavior of a soil beam under pore water pressure, the results of analytical solutions and finite element analysis (FEM) were compared quantitatively. In contrast to the results of the analytical solution, the horizontal stress obtained from the FEM did not show a symmetrical distribution. On the other hand, the horizontal stress became closer to symmetrical distribution as the number of elements of the soil beam were increased. A comparison of the horizontal stresses from the analytic solution with those obtained from Gaussian points of FEM showed that the magnitude of the tensile stress from the FEM using 3 elements was 6% of the maximum value of the analytical solution and the compressive stress from the FEM using the same elements was 37% of the maximum value of the analytical solution. The magnitude of the tensile stress from the FEM using 6 elements was 61% of the maximum value of the analytical solution and the magnitude of the compressive stress from the FEM using the elements was 83% of the maximum value of the analytical solution. Vertical stresses, which were obtained from the analytical solution, showed a continuous distribution with the depth of the soil beam, whereas the vertical stresses from the FEM showed a discrete distribution corresponding to each element. The results also showed that the average value of the vertical stresses of each element was close to that of the pore water pressure. A comparison of the vertical displacements computed at the near vertical center line of the soil beam from the FEM with those of the analytical solution showed that the magnitude of the vertical displacement from FEM using 3 elements was 35% of the value of the analytical solution and the magnitude of the vertical displacement from FEM using 6 elements was 57% of the value of the analytical solution.

Improved Estimation for Expected Sliding Distance of Caisson Breakwaters by Employment of a Doubly-Truncated Normal Distribution (이중절단정규분포의 적용을 통한 케이슨 방파제 기대활동량 평가의 향상)

  • Kim Tae-Min;Hwang Kyu-Nam;Takayama Tomotsuka
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.17 no.4
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    • pp.221-231
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    • 2005
  • The present study is deeply concerned with the reliability design method(Level III) for caisson breakwaters using expected sliding distance, and the objectives of this study are to propose the employment of a doubly-truncated normal distribution and to present the validity for it. In this study, therefore, the explanations are made for consideration of effects of uncertain factors, and a clear basis that the doubly-truncated normal distribution should be employed in the computation process of expected sliding distance by Monte-Carlo simulation is presented with introduction of the employment method. Even though only caisson breakwaters are treated in this paper, the employment of doubly-truncated normal distribution can be applied to various coastal structures as well as other engineering fields, and therefore it is expected that the present study will be extended in various fields.

Tolerance analysis of Multi-Configurative Microscopic System for Inspecting the Wire-Bonding Status of Semiconductor Chips (반도체 와이어 본딩 검사용 다중배치 현미경 광학계에 대한 공차분석)

  • Ryu, Jae-Myung;Kim, Jae-Bum;Kang, Geon-Mo;Jung, Jin-Ho;Baek, Seung-Sun;Jo, Jae-Heung
    • Korean Journal of Optics and Photonics
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    • v.17 no.2
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    • pp.149-158
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    • 2006
  • We have analyzed various tolerances of the multi-configurative microscopic system for inspecting the wire-bonding of a reed frame by using the Gaussian bracket method and the equivalent lens method. The tolerances for the curvature and the thickness, which are axial symmetric tolerances, are given by varying the back focal length within a fecal depth under diffraction-limited conditions. Moreover, by using the trial and error method, the axial non-symmetric tolerances for decenter and tilt are established by assigning the 5% variation of MTF(modulation transfer function) at the spatial frequency of 50 lp/mm and at the field angle of 0.7 field. As the tolerances with the most probable distribution are distributed within the range of the decay rate of less than 5% independent of the probability distribution of tolerances, we can achieve completely the desired design performances of the multi-configurative microscopic system by using the various ranges of these tolerances.

Numerically Efficient Evaluation of MoM Matrix in Conjunction with the Closed-form Green s Functions in Analysis of Multi-layered Planar Structures (다층 평판구조체 해석시 Closed-form 그린함수와 함께한 모멘트 행렬의 효율적인 수치계산)

  • 이영순;김병철;조영기
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.1
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    • pp.92-98
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    • 2001
  • When analyzing the scatting problem of multi-layered planar structures using closed-form Green's function, one of the main difficulties is that the numerical integrations for the evaluation of diagonal matrix elements converge slowly and are not so stable. Accordingly, even when the integration fur the singularity of type $e^{-jkr}/{\gamma}$, corresponding to the source dipole itself, is performed using such a method, this difficulty persists in the integration corresponding to the finite number of complex images. In order to resolve this difficulty, a new technique based upon the Gaussian quadrature in polar coordinates for the evaluation of the two-dimensional generalized exponential integral is presented. Stability of the algorithm and convergence is discussed. Performance is demonstrated for the example of a microstrip patch antenna.

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