• Title/Summary/Keyword: 해석적 적분

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Evaluation of the J integral of a CT specimen by FEM (FEM에 의한 CT시험편의 J 적분 해석에 관한 연구)

  • Kim, Won Beom
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.11
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    • pp.6440-6445
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    • 2014
  • In steel structures, including ships and offshore structures, defects induced during construction or in use causes cracks and damages. Calculation of the stress intensity factor (SIF) K is one method for crack analysis by fracture mechanics approach. In this paper, an evaluation of K was carried out using the J integral. In particular, in this study, a CT specimen was used to calculate the J integral. In the evaluation, 859 nodes and 1618 elements were used for the J integral calculation of the CT specimen by the in-house FEM program. A comparison of the result with the ASTM formula showed that the results from the current research of the J integral was in the 99% coincidence interval. Overall, cracks in this study can be studied satisfactorily by the J integral from the above mesh size.

Study on Feasibility of Applying Function Approximation Moment Method to Achieve Reliability-Based Design Optimization (함수근사모멘트방법의 신뢰도 기반 최적설계에 적용 타당성에 대한 연구)

  • Huh, Jae-Sung;Kwak, Byung-Man
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.2
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    • pp.163-168
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    • 2011
  • Robust optimization or reliability-based design optimization are some of the methodologies that are employed to take into account the uncertainties of a system at the design stage. For applying such methodologies to solve industrial problems, accurate and efficient methods for estimating statistical moments and failure probability are required, and further, the results of sensitivity analysis, which is needed for searching direction during the optimization process, should also be accurate. The aim of this study is to employ the function approximation moment method into the sensitivity analysis formulation, which is expressed as an integral form, to verify the accuracy of the sensitivity results, and to solve a typical problem of reliability-based design optimization. These results are compared with those of other moment methods, and the feasibility of the function approximation moment method is verified. The sensitivity analysis formula with integral form is the efficient formulation for evaluating sensitivity because any additional function calculation is not needed provided the failure probability or statistical moments are calculated.

Analytical Breakdown Voltages of $p^{+}n$ Junction in Power Semiconductor Devices (전력 반도체 $p^{+}n$ 접합의 해석적 항복전압)

  • Chung, Yong Sung
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.10 s.340
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    • pp.9-18
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    • 2005
  • Analytical expressions for breakdown voltages of abrupt $p^{+}n$ junction of Si, GaAs, InP and In$In_{0.53}Ga_{0.47}AS$ were induced. Getting analytical breakdown voltages, effective ionization coefficients were extracted using lucky drift parameters of Marsland for each materials. The results of analytical breakdown voltages followed by ionization integral agreed well with experimental result within 10$\%$ in error for the doping concentration in the range of $10^{14}cm\;^{-3}\~5\times10\;^{17}cm\;^{-3}$.

Earthquake Response Analysis considering Irregular Soil Layers (불규칙한 다층 물성을 가지는 지반의 지진 응답 해석)

  • Park, Jang-Ho;Park, Jae-Gyun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.6 s.46
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    • pp.67-73
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    • 2005
  • Precise analysis of soil-structure interaction requires a proper description of soil profile. However, such approach becomes generally nearly unpractical for soil exhibiting material discontinuity and complex geometry since meshes should match that material discontinuity line. To overcome these difficulties, a different numerical integration method is adopted in this paper, which enables to integrate easily over an element with material discontinuity without regenerating mesh fellowing the discontinuity line. As a result the mesh is highly structured, loading to very regular silliness matrix. The influence of the shape of soil profile on the response is examined and it is seen that the proposed soil-structure analysis method can be easily used on soil-structure interaction problems with complicated soil profile and produce reliable results regardless of material discontinuities.

Estimation of Sound Pressure from Vibration Signals on a Flat Plate and Experiment (진동 신호를 이용한 평판의 음압 분포 예측)

  • Kim, Kwan-Ju;Choi, Sung-Kwon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.340-345
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    • 2000
  • 진동하는 구조물의 음향 방사 예측에는 키르히호프-헬름홀쯔 적분 방정식에 근본을 둔 경계 요소 해석이 널리 사용된다. 이 경계 요소 해석은 익히 알고 있듯이 구조물의 동적 거동이 정량적으로 표현될 수 있는 경우는 매우 높은 정확도의 예측 결과를 제공한다. 그러나 실제 현상에서 접할 수 있는 복잡한 구조물의 음향 방사 예측에는 많은 변수들로 인해 예측의 정확도가 감소됨은 확실하다. 다른 방법으로는 실험을 통한 임의의 음장 예측 방법인 근음장 음향 홀로그래피(nearfield acoustical holography) 방법을 들 수 있다. 이 방법은 실제로 발생되는 음향 방사로부터 마이크로폰을 이용하여 홀로그램면의 음압 또는 속도를 측정하고 키르히호프-헬름홀쯔 적분 방정식에 적용하여 임의의 홀로그램면에 투사(mapping)시켜 음장을 예측하는 방법이다. 근음장 음향 홀로그래피는 탁월한 정확성을 갖고 있으나, 측정의 복잡성과 홀로그램면을 형성하기 위한 많은 이산점(절점)의 필요성 등의 단점을 갖고 있다. 본 논문에서는 또 다른 음장 예측 방법인 실험의 장점과 유한 요소 해석의 장정을 복합시킨 모드 확장 방법(modal expansion method)을 사용하여 단순 구조물인 평판의 진동에 의한 음장을 예측해 보았다. 모드 확장 방법은 구조물의 동적 거동은 모드의 선형 조합으로 표현될 수 있다는 것에 그 원리를 둔다. 본 논문은 단순 평판을 대상으로 유한 요소 해석으로 구한 모드 정보와 실험에 의해 얻은 입의 가진 주파수에 대한 진동 표면의 속도 분포를 조합하여 속도 경계 조건을 구성, 경계 요소 해석으로 음장 예측을 수행하였으며 모드 확장 방법을 사용함에 있어 고려해야할 몇 가지 사항에 대해 다루었다.

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Effect of Wrinkling on Failure Behavior of Thin Membranes (얇은 막재에서 주름이 파괴거동에 미치는 영향)

  • Kim, Young-Ah;Woo, Kyeong-Sik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.11
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    • pp.1005-1012
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    • 2011
  • In this paper, the effect of wrinkling on the failure behavior of thin membrane was studied using geometrically nonlinear shell element post-buckling analysis with global-local analysis strategy. In the analysis, double-edge notched and single-edge notched tensile specimen configurations were considered. The analyses were performed for both cases with allowing and suppressing the wrinkling deformation. The results were investigated focusing on the effect of wrinkle development on the variation of J-integral values at the cut tip. The effect of cut lengths and the specimen lengths were also systematically studied.

On the Study of New Numerical Analysis in the Transient Electromagnetic Wave Scattering (전자파의 과도적 산란 특성에 관한 새로운 수치해석 연구)

  • 이강호;이상회;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.1
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    • pp.1-8
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    • 1990
  • In this paper, the transient electromagneti wave scattering at dielectric cylinder is studied by new numerical analysis method. Basic formulation of boundary integral equation (BIE) for numerical method is started weighted residual technique. BIE is made to two simultaneous equation at surface inner and outside point of dielectric cylinder in extended boundary condition (EBC) and surface boundary condition (SBC). Numerical method is used Boundary element method (BEM) that is two form, one is direct method and the other is indirect method, so that this method that transformes operator inversion martics is used numerical analysis. A good agreement of this numerical solution and the other results is obtained.

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Analysis of Interfacial Surface Crack Perpendicular to the Surface (표면에 수직한 계면방향 표면균열의 해석)

  • 최성렬
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.277-284
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    • 1993
  • Interfacial surface crack perpendicular to the surface, which is imbedded into bonded quarter planes under single anti-plane shear load is analyzed. The problem is formulated using Mellin transform, form which single Wiener-Hopf equation is derived. By solving the equation stress intensity factor is obtained in closed form. This solution can be used as a Green's function to generate the solutions of other problems with the same geometry but of different loading conditions.

Evaluation of Crack-tip Cohesive Laws for the Mode I Fracture of the Graphene from Molecular Dynamics Simulations (그래핀의 모드 I 균열에 대한 분자동역학 해석으로부터 균열 선단 응집 법칙의 평가)

  • Kim, Hyun-Gyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.5
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    • pp.393-399
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    • 2013
  • In this paper, a novel approach to estimate cohesive laws for the mode I fracture of the graphene is presented by combining molecular dynamic simulations and an inverse algorithm based on field projection method and finite element method. The determination of crack-tip cohesive laws of the graphene based on continuum mechanics is a non-trivial inverse problem of finding unknown tractions and separations from atomic simulations. The displacements of molecular dynamic simulations in a region far away from the crack tip are transferred to finite element nodes by using moving least square approximation. Inverse analyses for extracting unknown cohesive tractions and separation behind the crack tip can be carried out by using conservation nature of the interaction J- and M-integrals with numerical auxiliary fields which are generated by systematically imposing uniform surface tractions element-by-element along the crack surfaces in finite element models. The preset method can be a very successful approach to extract crack-tip cohesive laws from molecular dynamic simulations as a scale bridging method.

Integration of Measured Acceleration to Determine the Vibration Characteristics of Bridges (교량 진동특성 분석을 위한 실측 가속도의 적분)

  • ;;Lee, Sun-Goo;Lee, Mun-Taek
    • Computational Structural Engineering
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    • v.9 no.4
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    • pp.107-115
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    • 1996
  • Displacement response is one of the important parameter to determine vibration characteristics of bridge structure. Reliable estimate of displacement response is obtained economically from integration of measured acceleration data in frequency domain. Proper sampling rate of frequency in discretization process of measured acceleration is proposed. Comparison of integrated and directly measured displacement response from laboratory experiment for a cantilever beam shows good agreement each other. Mode shape obtained from estimated displacement response also closely match with analytical result, thus the developed method is proved to be effective in practical use.

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