• 제목/요약/키워드: method of fundamental solution

검색결과 244건 처리시간 0.026초

다층 반무한 기본해를 이용한 경계요소해석 (Boundary Element Method for Multilayered Media Using Numerical Fundamental Solutions)

  • 김문겸;오금호;김민규;박준상
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.79-86
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    • 1996
  • A boundary element method which utilizes the fundamental solution in the half plane is developed to analyze the multi-layered elastic media. The objective of this study is to derive numerically the fundamental solutions and to apply those to the exterior multi-layered domain problems. To obtain numerical fundamental solutions of multi-layered structural system, the same number of solutions as that of layers in Fourier transform domain are employed. The numerical integration technique is used in order to inverse the Fourier transform solution to real domain. To verify the proposed boundary element method, two examples are treated: (1) a circular hole near the surface of a half plane; and (2) a circular cavity within one layer of four layered half plane.

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Transfer matrix method for solution of FGMs thick-walled cylinder with arbitrary inhomogeneous elastic response

  • Chen, Y.Z.
    • Smart Structures and Systems
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    • 제21권4호
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    • pp.469-477
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    • 2018
  • This paper presents a numerical solution for the thick cylinders made of functionally graded materials (FGMs) with a constant Poisson's ratio and an arbitrary Young's modulus. We define two fundamental solutions which are derived from an ordinary differential equation under two particular initial boundary conditions. In addition, for the single layer case, we can define the transfer matrix N. The matrix gives a relation between the values of stress and displacement at the interior and exterior points. By using the assumed boundary condition and the transfer matrix, we can obtain the final solution. The transfer matrix method also provides an effective way for the solution of multiply layered cylinder. Finally, a lot of numerical examples are present.

Frequency optimization for laminated composite plates using extended layerwise approach

  • Topal, Umut
    • Steel and Composite Structures
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    • 제12권6호
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    • pp.541-548
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    • 2012
  • This paper deals with the applicability of extended layerwise optimization method (ELOM) for frequency optimization of laminated composite plates. The design objective is the maximization of the fundamental frequency of the laminated plates. The fibre orientations in the layers are considered as design variables. The first order shear deformation theory (FSDT) is used for the finite element solution of the laminates. Finally, the numerical analysis is carried out to show the applicability of extended layerwise optimization algorithm of laminated plates for different parameters such as plate aspect ratios and boundary conditions.

이동하중에 대한 다층반무한체의 동적경제요소 해석 (Boundary Element Anslysis of Multilayered System for Moving Loads)

  • 김문겸
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 1998년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Spring 1998
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    • pp.98-105
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    • 1998
  • In this study, the boundary element analysis in dynamics for the multilayered semi-infinite plane is developed using the fundamental solution for moving loads. Also the indirect method and superposition method are introduced to consider the multilayered systems and moving loads. At each layer the fundamental solution can be obtained by solving the governing equation which is transformed by the Fourier transform. The governing equation can be solved by three conditions; continuity conditions of displacement and stress, the traction free condition at the surface and the radiation condition at the surface and the radiation condition at the infinite distance. To verify the solution and the developed algorithm, the theoretical solution for the homogeneous layer and commercial FEM program is compared with the results of this study.

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An experimental method to determine glass elastic modulus based on the fundamental frequency of the elastic support-free end beam

  • Kun Jiang;Danguang Pan
    • Structural Engineering and Mechanics
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    • 제88권2호
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    • pp.189-200
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    • 2023
  • Silicate glass is usually a brittle and plate-like material, and it is difficult to measure the elastic modulus by the traditional method. This paper develops a test method for the glass elastic modulus based on the fundamental frequency of the cantilever beam with an elastic support and a free end. The method installs the beam-type specimen on a semi-rigid support to form an elastic support-free end beam. The analytic solution of the stiffness coefficients of the elastic support is developed by the fundamental frequency of the two specimens with known elastic modulus. Then, the glass elastic modulus is measured by the fundamental frequency of the specimens. The method significantly improves the measurement accuracy and is suitable for the elastic modulus with the beam-type specimen whether the glass is homogeneous or not. Several tests on the elastic modulus measurement are conducted to demonstrate the reliability and validity of the test method.

지중공동을 고려한 지반-말뚝-구조물 상호작용계의 지진응답해석 (Seismic Response Analysis of Soil-Pile-Structure Interaction System considering the Underground Cavity)

  • 김민규;임윤묵;김문겸;이종세
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2002년도 춘계 학술발표회 논문집
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    • pp.117-124
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    • 2002
  • The major purpose of this study is to determine the dynamic behavior of soil-pile-structure interaction system considering the underground cavity. For the analysis, a numerical method fur ground response analysis using FE-BE coupling method is developed. The total system is divided into two parts so called far field and near field. The far field is modeled by boundary element formulation using the multi-layered dynamic fundamental solution that satisfied radiational condition of wave. And this is coupled with near field modeled by finite elements. For the verification of dynamic analysis in the frequency domain, both forced vibration analysis and free-field response analysis are performed. The behavior of soil non-linearity is considered using the equivalent linear approximation method. As a result, it is shown that the developed method can be an efficient numerical method to solve the seismic response analysis considering the underground cavity in 2D problem.

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부지효과를 고려한 2차원 평면상의 지진응답해석 (Seismic Response Analysis Considering the Site Effect in Two Dimensional Cases)

  • 김민규;임윤묵;김문겸
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2001년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall 2001
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    • pp.83-90
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    • 2001
  • The site effects of local geological conditions on seismic ground motion are performed using 2D numerical method. For the analysis, a numerical method far ground response analysis using FE-BE coupling method is developed. The total system is divided into two parts so called far field and near field. The far field is modeled by boundary element formulation using the multi-layered dynamic fundamental solution that satisfied radiational condition of wave. And this is coupled with near field modeled by finite elements. In order to verify the seismic response analysis, the results are compared with those of commercial code. As a result, it is shown that the developed method can be an efficient numerical method to solve the seismic response analysis of the site effect in 2D problem.

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Size sorting of chemically modified graphene nanoplatelets

  • Han, Joong Tark;Jang, Jeong In;Kim, Sung Hun;Jeong, Seung Yol;Jeong, Hee Jin;Lee, Geon-Woong
    • Carbon letters
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    • 제14권2호
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    • pp.89-93
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    • 2013
  • Size-sorted graphene nanoplatelets are highly desired for fundamental research and technological applications of graphene. Here we show a facile approach for fabricating size-sorted graphene oxide (GO) nanoplatelets by a simple centrifugal method using different dispersion solvents. We found that the small-sized GO nanoplatelets were more effectively separated when dispersed in water or dimethylformamide (DMF) than in an alkali aqueous solution. After several iterations of the centrifugation, the sizes of GO in the supernatant solution were mostly several micrometers. We found that the GO area was not strongly correlated with the C-O content of the GO dispersed in water. However, the size-sorted GO nanoplatelets in DMF showed different C-O content, since DMF can reduce GO nanoplatelets during exfoliation and centrifugation processes.

균열의 충격해석에 대한 Laplace 변환 2차원 경계요소법의 응용 (An Application of 2-D BEM with Laplace Transformation to Impact Crack Analysis)

  • 조상봉;김태규;최선호
    • 대한기계학회논문집
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    • 제16권5호
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    • pp.883-890
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    • 1992
  • 본 연구에서는 Laplace 변환법에 의한 2차원 동적 문제의 경계요소 프로그램 을 작성하고, 간단한 모델을 해석하여 프로르램의 정도 및 그 유용성을 검토하고, 응 용문제로 동적하중을 받는 균열문제의 몇 가지 모델에 대하여 변위 외삽법으로 균열의 파괴 역학적 파라미터인 동적응력확대계수(dynamic stress intensity factor)를 구하 여 결과를 검토하여 보고자 한다.

경화 콘크리트의 단위 시멘트량 추정 방법에 관한 기초적 연구 (A Fundamental Study on the Estimation of Unit Cement Content in Hardened Concrete (Test Method by Sodium Gluconate))

  • 김광서;유영호;박도경
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1996년도 봄 학술발표회 논문집
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    • pp.24-29
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    • 1996
  • The purpose of this study is to propose new estimation method of unit cement content in hardened concrete. In general, the quantity of cement in hardened concrete is tested by hydrochlonic acid dissolving cement paste, however, hydrochloric acid dissolves sea shell contained in sea sand and lime stone in concrete. Therefore, the tested cement content is apt to estimate greater than actual cement content. The sodium gluconate solution dissolves only cement in concrete, it is hard to dissolve sea shell and lime stone as CaCo3. The effects of the quantity, concentration and temperature of sodium gluconate solution, the ignition temperature, the ignition loss of cement on the cement content and the percentage of dissolution of cement were investigated to establish a test method. From the results of these tests, the fundamental test method for cement content of hardened concrete by sodium gluconate is proposed.

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