• 제목/요약/키워드: rectangular element

검색결과 822건 처리시간 0.028초

Equivalent material properties of perforated metamaterials based on relative density concept

  • Barati, Mohammad Reza;Shahverdi, Hossein
    • Steel and Composite Structures
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    • 제44권5호
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    • pp.685-690
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    • 2022
  • In this paper, the equivalent material properties of cellular metamaterials with different types of perforations have been presented using finite element (FE) simulation of tensile test in Abaqus commercial software. To this end, a Representative Volume Element (RVE) has been considered for each type of cellular metamaterial with regular array of circular, square, oval and rectangular perforations. Furthermore, both straight and perpendicular patterns of oval and rectangular perforations have been studied. By applying Periodic Boundary conditions (PBC) on the RVE, the actual behavior of cellular material under uniaxial tension has been simulated. Finally, the effective Young's modulus, Poisson's ratio and mass density of various metamaterials have been presented as functions of relative density of the RVE

경계요소-유한요소 연계법에 의한 구형 수조구조물의 동적거동 특성해석 (Analysis of Dynamic Behavior of Flexible Rectangular Liquid Containers by the Coupled Boundary Element-Finite Element Method)

  • 고현무;박장호;김재관
    • 대한토목학회논문집
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    • 제14권5호
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    • pp.1033-1042
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    • 1994
  • 2차원 경계요소-유한요소 연계법을 사용하여 구형 수조구조물의 동적거동 특성을 파악하였다. 비점성, 비압축성 이상유체의 운동은 경계요소법으로 모델링하였으며 구조물의 운동은 유한요소법으로 모델링하였다. 경계요소법의 적용시 Singularity를 소거한 경계적분식을 사용하였다. 유체와 구조물의 경계면에서 적합조건과 평형조건을 만족시킴으로써 경계요소와 유한요소를 연계하였다. 유체-구조물 상호작용의 영향은 유체의 부가질량행렬과 유체 유동에 의한 강성행렬로 연계된 유체-구조물계에 반영된다. 연계된 유체-구조물계의 고유치 문제로부터 수조구조물의 고유진동수외 고유모드를 구하였으며 수평 및 수직 자바운동에 의하여 수조구조물에 발생하는 유체동압력과 자유수면의 유동도 산출하였다.

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Hydroelastic vibration analysis of liquid-contained rectangular tanks

  • Jeong, Kyeong-Hoon
    • Structural Engineering and Mechanics
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    • 제40권5호
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    • pp.665-688
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    • 2011
  • This paper presents a theoretical analysis for the free vibration of rectangular tanks partially filled with an ideal liquid. Wet dynamic displacements of the tanks are approximated by combining the orthogonal polynomials satisfying the boundary conditions, since the rectangular tanks are composed of four rectangular plates. The classical boundary conditions of the tanks at the top and bottom ends are considered, such as clamped, simply supported, and clamped-free boundary conditions. As the facing rectangular plates are assumed to be geometrically and structurally identical, the vibration modes of the facing plates of the tanks can be divided into two categories: symmetric and antisymmetric modes with respect to the planes passing through the center of the tanks and perpendicular to the free liquid surface. The liquid displacement potentials satisfying the Laplace equation and liquid boundary conditions are derived, and the wet dynamic modal functions of a quarter of the tanks can be expanded by the finite Fourier transform for compatibility requirements along the contacting surfaces between the tanks and liquid. An eigenvalue problem is derived using the Rayleigh-Ritz method. Consequently, the wet natural frequencies of the rectangular tanks can be extracted. The proposed analytical method is verified by observing an excellent agreement with three-dimensional finite element analysis results. The effects of the liquid level and boundary condition at the top and bottom edges are investigated.

A spline finite element method on mapping

  • Ding, Hanshan;Shao, Rongguang;Ding, Dajun
    • Structural Engineering and Mechanics
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    • 제4권4호
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    • pp.415-424
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    • 1996
  • This paper presents a newly suggested calculation method in which an arbitrary quadrilateral element with curved sides is transformed to a normal rectangular one by mapping of coordinates, then the two-dimensional spline is adopted to approach the displacement function of this element. Finally the solution can be obtained by the least-energy principle. Thereby, the application field of Spline Finite Element Method will be extended.

Finite element modeling of RC columns made of inferior concrete mix strengthened with CFRP sheets

  • Khaled A. Alawi, Al-Sodani;Muhammad Kalimur ,Rahman;Mohammed A., Al-Osta;Omar S. Baghabra, Al-Amoudi
    • Earthquakes and Structures
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    • 제23권5호
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    • pp.403-417
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    • 2022
  • Reinforced concrete (RC) structures with low-strength RC columns are rampant in several countries, especially those constructed during the early 1960s and 1970s. The weakness of these structures due to overloading or some natural disasters such as earthquakes and building age effects are some of the main reasons to collapse, particularly with the scarcity of data on the impact of aspect ratio and corner radius on the confinement effectiveness. Hence, it is crucial to investigate if these columns (with different aspect ratios) can be made safe by strengthening them with carbon fiber-reinforced polymers (CFRP) sheets. Therefore, experimental and numerical studies of CFRP-strengthened low-strength reinforced concrete short rectangular, square, and circular columns were studied. In this investigation, a total of 6 columns divided into three sets were evaluated. The first set had two circular cross-sectional columns, the second set had two square cross-section columns, and the third set has two rectangular cross-section columns. Furthermore, FEM validation has been conducted for some of the experimental results obtained from the literature. The experimental results revealed that the confinement equations for RC columns as per both CSA and ACI codes could give incorrect results for low-strength concrete. The control specimen (unstrengthened ones) displayed that both ACI and CSA equations overestimate the ultimate strength of low-strength RC columns by order of extent. For strengthened columns with CFRP, the code equations of CSA and ACI code overestimate the maximum strength by around 6 to 13% and 23 to 29%, respectively, depending on the cross-section of the column (i.e., square, rectangular, or circular). Results of finite element models (FEMs) showed that increasing the layer number of new commonly CFRP type (B) from one to 3 for circular columns can increase the column's ultimate loads by around eight times compared to unjacketed columns. However, in the case of strengthened square and rectangular columns with CFRP, the increase of the ultimate loads of columns can reach up to six times and two times, respectively.

강소성 유한요소법과 신경망을 이용한 직사각재 인발공정에 관한 연구 (A Studyon the Drawing of Rectangular Rod from Round Bar by using Rigid Plastic FEM and Neural Network)

  • 김용철;최영;김병민;최재찬
    • 소성∙가공
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    • 제8권4호
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    • pp.331-339
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    • 1999
  • In this study, to analyze the shaped drawing process from round bar, the practical conical die with considering die radius and bearing was defined by a mathematical expression, and also a simple technique for initial mesh generation to the shaped drawing process was proposed. The drawing of rectangular section from round bar, one of the shaped drawing process, has been simulated by using non-steady state 3D rigid plastic finite element method in order to evaluate the influence of semi-die angle and reduction in area to corner filling. Other process variables such as friction constant, rectangular ratio, die radius and bearing length were fixed during the simulation. An artificial neural network has been introduced to obtain the optimal process conditions which gave rise to a fast simulation.

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연속후프를 이용한 철근콘크리트 보, 기둥 철근배근 공법 개발 (Development of Continuous Rectangular Spiral Hoop Bar Construction for RC Beam and Column)

  • 박성우;곽창식;진종민;박홍근;강수민;김효락
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2012년도 추계 학술논문 발표대회
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    • pp.171-172
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    • 2012
  • In this study the continuous rectangular spiral hoop is used for saving cost and time, solving manpower shortage, and the quality of structures. Generally the use of continuous spiral reinforcement in reinforced concrete elements improve the strength and the ductility of the concrete. Savings in cost and time is demonstrated with the continuous rectangular spiral hoop through the mock up test of beam and column elements. In case of a 4m column element the time of rebar work decreases up to 40% compared with traditional hoop, and in case of a 8m beam the time also decreases 40%. This study present the construction method and details.

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유체로 연성된 두 직사각 평판의 고유진동에 관한 해석적 연구 (Analytical Study on the Free Vibration of Two Rectangular Plates Coupled with Fluid)

  • 유계형;정경훈;이성철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 춘계학술대회 논문집
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    • pp.647-651
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    • 2002
  • This study dealt with the free vibration of two identical rectangular plates coupled with fluid. In order to investigate the vibration characteristics of fluid-coupled rectangular plates, an analytical method based on the finite Fourier series expansion and Rayleigh-Ritz method was suggested. A commercial computer code, ANSYS was used to perform finite element analysis and we investigated the vibration characteristics with mode shapes and natural frequencies. As a result, the transverse vibration modes, in-phase and out-of-phase, were observed alternately in the fluid-coupled system. The effect of fluid bounding and plate boundary condition on the fluid-coupled natural frequency were investigated. It was shown that the mode numbers increased, the normalized natural frequencies monotonically increased.

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Pseudospectral 해석법을 이용한 직사각 Reissner-Mindlin 평판의 동적 해석 (Application of Pseudospectral Method to the Dynamic Analysis of Rectangular Reissner-Mindlin Plate)

  • 승용호;이진희
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1419-1426
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    • 2000
  • A dynamic analysis of rectangular Reissner-Mindlin plate was carried out using pseudospectral method. The pseudospectral method is superior to the finite element method because of more rapid conver gence speed of approximate solutions. Especially, the improvement in accuracy of the pseudospectral method is remarkable. Numerical examples demonstrate the excellent performance and robustness of the pseudospectral method with respect to thickness ratio of rectangular Reissner-Mindlin plate. The natural frequencies of rectangular Reissner-Mindlin plate calculated with the pseudospectral method are more reliable than those calculated with other numerical methods.

미세 성형 부품의 성형 공정 해석 및 실험 (A Experimental Study and FE Analysis of the Forming Process with Milli-Component Forming)

  • 구태완;강범수;오수익
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2001년도 춘계학술대회 논문집
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    • pp.235-238
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    • 2001
  • Milli-structure components are classified as a component group whose size is between macro and micro scales, that is, about less than 20mm and larger than 1mm. The forming of these components has a typical phenomenon of bulk deformation with thin sheets because of the forming size. In this study, milli-structure rectangular cup drawing is analyzed and measured using the finite element method and experiment. Generally, milli-structure containers or cases like cellular phone vibrator consist of rectangular-shaped drawing to save installation space. A systematic approach is established for the design and the experiment of the forming processes for rectangular milli-structure cases. To verify the simulation results, the experimental investigations were also carried out on a real industrial product. The numerical analysis by FEM shows good agreement with the experimental results in view of the deformation shape of the product.

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