• 제목/요약/키워드: Assumed Strains

검색결과 139건 처리시간 0.023초

A refined finite element for first-order plate and shell analysis

  • Han, Sung-Cheon;Kanok-Nukulchai, Worsak;Lee, Won-Hong
    • Structural Engineering and Mechanics
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    • 제40권2호
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    • pp.191-213
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    • 2011
  • This paper presents an improved 8-node shell element for the analysis of plates and shells. The finite element, based on a refined first-order shear deformation theory, is further improved by the combined use of assumed natural strain method. We analyze the influence of the shell element with the different patterns of sampling points for interpolating different components of strains. Using the assumed natural strain method with proper interpolation functions, the present shell element generates neither membrane nor shear locking behavior even when full integration is used in the formulation. Further, a refined first-order shear deformation theory, which results in parabolic through-thickness distribution of the transverse shear strains from the formulation based on the third-order shear deformation theory, is proposed. This formulation eliminates the need for shear correction factors in the first-order theory. Numerical examples demonstrate that the present element perform better in comparison with other shell elements.

개선된 추가변형률 4절점 평판휨 요소 (Improvement of Enhanced Assumed Strain Four-node Finite Element Based on Reissner-Mindlin Plate Theory)

  • 천경식;박대용;장석윤
    • 한국강구조학회 논문집
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    • 제16권3호통권70호
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    • pp.295-303
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    • 2004
  • 본 연구에서는 등방성 및 복합적층판 해석을 위해 추가변형률을 갖는 개선된 4절점 Reissner-Mindlin 평판휨요소를 제안하였다. 전단잠김현상과 가상적인 제로에너지모드를 제거하기 위해 비적합 변위모드와 Bubble 함수식에 근거한 새로운 형태의 전단변형률을 추가함으로써 횡방향 전단거동을 개선하였다. Andelfinger와 Ramm(1993)이 제시한 기본적인 추가변형률은 면내거동을 개선시키고자 그대로 적용하였다. 1차전단변형이론에 근거한 새로 개발된 4절점 평판요소를 '14EASP'라 명하였다. 14EASP 유한요소의 특징과 성능을 평가하고자 몇가지의 수치해석예제를 적용하였으며, 다른 유한요소 및 해석적인 해와 비교하였다. 그 결과 본 연구에서 제안한 14EASP는 보다 안정적이고, 수렴성이 빠르며, 특히 요소형상이 왜곡된 경우에도 정확한 결과를 도출하였다.

직접수정된 8절점 가정변형률 유한요소를 이용한 복합적층판의 정적, 좌굴 및 자유진동 해석 (Static, Buckling and Free Vibration Analyses of Fibrous Composite Plate using Improved 8-Node Strain-Assumed Finite Formulation by Direct Modification)

  • 박원태;천경식;임성순
    • 한국구조물진단유지관리공학회 논문집
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    • 제8권4호
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    • pp.107-114
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    • 2004
  • 본 논문에서는 복합적층판의 유한요소해석을 위해 직접수정법으로 간단히 개선된 8절점 유한요소를 제안하였다. 우선, 9절점 등매개변수 요소와 동일한 조건하에서 이차다항식을 표현할 수 있도록 형상함수를 수정하며, 이를 외시적(explicit)으로 표현하였다. 전단보정계수를 갖는 1차전단변형이론을 고차전단변형이론에 근거하여 간단히 개선함으로써 두께방향으로 전단응력 및 변형률이 포물선 분포를 가지도록 하였다. 더 이상의 전단보정계수가 필요하지 않다. 따라서 간단한 직접수정법 즉, 형상함수의 수정, 1차전단변형이론의 개선 및 가정변형률을 조합함으로써 8절점 유한요소의 성능을 개선하였다. 제안된 유한요소를 이용하여 복합적층판의 정적, 좌굴 및 자유진동 수치해석을 실시하여 비교 검증하였다.

Candidate of Probiotic Bacteria Isolated from Several Jeotgals: Korean Traditional Fermented Seafoods

  • Cho, Gyu-Sung;Do, Hyung-Ki;Bae, Chae-Yoon;Cho, Gyu-Sup;Whang, Cher-Won;Shin, Heuyn-Kil
    • Preventive Nutrition and Food Science
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    • 제11권2호
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    • pp.140-145
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    • 2006
  • Seventy eight bacterial strains were isolated from several jeotgals using MRS and M 17 agar media. The probiotic properties such as tolerance of extreme growth condition, production of antimicrobial compound, production of hydrogen peroxide, and enzymatic activity of bile salt hydrolase were investigated. DHK 4, 10, 21 and 74 strains showed_a strong tolerance property against extreme conditions such as low pH and 0.5% oxgall-supplemented medium. DHK 10 and 47 strains produced hydrogen peroxide on TMB agar plate. DHK 8 and 10 strains produced antimicrobial compounds onto MRS agar against E. facalis. DHK 4, 6, 21, 29, 33, 63 and 87 strains had high activities of bile salt hydrolase. Especially, DHK 10 displayed a strong probiotic candidate; the abilities to produce the antimicrobial compound, hydrogen peroxide, and bile salt hydrolase. All these strains are assumed to be useful probiotic candidates. Among 78, twenty seven strains which have probiotic properties were tentatively identified by 16S rRNA sequencing. Among them, 7 Lactobacillus spp., 6 Leuconosotoc spp., 2 Weisella spp., 1 Pediococcus sp., 1 Staphylococcus sp., 1 Enterococcus sp. and 2 Streptococcus spp. were tentatively identified.

다변수 변분해법에 의한 비적합 8절점 육면체 요소 (Incompatible Three-Dimensional Hexagonal Finite Elements by Multivariable Method)

  • 주상백;신효철
    • 대한기계학회논문집A
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    • 제20권7호
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    • pp.2078-2086
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    • 1996
  • This paper introduces two three-dimensional eight-node hexagonal elements obtained by using multivariable variational mehtod. Both of them are based on the modified hellinger-reissner principle to employ incompatible displacements and assumed stresses of assumed strains. The internal functions of element are introduced to as element formulation through two different methods : the first one uses the functions determined directly from the element boundary condition of the incompatible displacements ; while the second, being a kind of B-bar mehtod, employs the modification technique of strain-displacement matrix to pass the patch test. The elements are evaluated on the selective problems of bending and material incompressibility with regular and distorted meshes. The results show that the new elements perform with good accuracy in both of deformation and stress calculation and they are insensitive to distorted geometry of element.

Bending analysis of FGM plates using a sinusoidal shear deformation theory

  • Hadji, Lazreg;Zouatnia, Nafissa;Kassoul, Amar
    • Wind and Structures
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    • 제23권6호
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    • pp.543-558
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    • 2016
  • The response of functionally graded ceramic-metal plates is investigated using theoretical formulation, Navier's solutions, and a new displacement based on the high-order shear deformation theory are presented for static analysis of functionally graded plates. The theory accounts for a quadratic variation of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The plates are assumed to have isotropic, two-constituent material distribution through the thickness, and the modulus of elasticity of the plate is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. Numerical results of the new refined plate theory are presented to show the effect of the material distribution on the deflections, stresses and fundamental frequencies. It can be concluded that the proposed theory is accurate and simple in solving the static and free vibration behavior of functionally graded plates.

경사기능재료 사각판의 열탄성 및 동적해석 (Thermoelastic and Dynamic Analysis of Functionally Graded Rectangular Plates)

  • 김영완
    • 한국소음진동공학회논문집
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    • 제15권4호
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    • pp.474-482
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    • 2005
  • A theoretical method is presented to investigate the thermoelastic and dynamic response of functionally graded material (FGM) rectangular plates made up of metal and ceramic. The temperature is assumed to be constant in the plane of the plate and to vary in the thickness direction only. Material properties are assumed to be temperature-dependant, and vary continuously through the thickness according to a power law distribution in terms of the volume fraction of the constituents. The third order shear deformation theory (TSDT) to account for rotary inertia and transverse shear strains is adopted to formulate the theoretical model. The modal analysis technique is used to develop the analytic solutions of the dynamic problem. The effect of material compositions and temperature fields is examined. The present theoretical results are verified by comparing with those from finite element analysis by ANSYS.

보강된 구조물의 기하학적 비선형 해석을 위한 편심 응축 셸 요소 (An Eccentric Degenerated Shell Element for the Geometrically Nonlinear Analysis of Stiffened Structures)

  • 이원재;이병채
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1721-1730
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    • 2000
  • An eccentric degenerated shell element with geometric non-linearity for the precise and efficient analysis of stiffened shell structures is developed. To deal with the eccentricity, we define the e ccentric shell and the master shell that constitute one combined shell. It is assumed that the sections remain plane after deformation. The internal force vector and the tangent stiffness matrix based on the virtual work principle in the natural coordinate system are derived. To enhance the robustness of the element, assumed strain method for transverse shear and membrane strains is used. Through numerical experiments the effectiveness of the proposed element is demonstrated.

9절점 가변형도 쉘요소를 이용한 콘크리트 구조물의 후-정점하중 해석 (A post-peak analysis of concrete structures using a 9-node assumed strain shell element)

  • 이상진;이홍표;서정문
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.59-66
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    • 2001
  • The post-peak analysis of concrete structures is carried out using a nine-node Reissner-Mindlin(RM) shell element which is formulated by using degenerated solid concepts. In order to avoid element deficiencies inherited in the standard RM shell element, assumed strains are adopted in the present shell element. A microscopic material model is adopted to represent the inelastic characteristic of concrete material. In particular, a concrete softening model is introduced to this material model. The arc-length control method is used to trace the post-peak behaviour of concrete structures. From the numerical test of the single-edge-notched beam, the present shell element shows a reasonable agreement with experimental data.

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명시적인 동적 시간이력해석을 한 사절점 가변형도 평판요소 (A Four-Node Assumed Strain Plate Element for Explicit Dynamic Transient Analysis)

  • 이상진
    • 한국전산구조공학회논문집
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    • 제14권3호
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    • pp.349-359
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    • 2001
  • 본 논분은 평판구조물의 동적 시간이력해석을 수행하기 위하여 개발된 사절점 판요소에 대하여 기술하였다. 이 요소는 두꺼운 판에서 발생하는 횡전단 변형효과를 고려하기 위하여 Reissner-Mindlin(RM)가정을 도달하였다. 알려진 바와 같이 RM가정을 바탕으로 개발된 판요소가 얇은 판에 적용되면 전단강성 과대현상(,Shear Locking Phenomenon)을 일으키는데 이를 개선하기 위하여 본 연구에서는 가변형도법을 이용한 대체변형도를 자연좌표계에 준하여 명시적으로 유도하였다. 개발된 저차 판요소는 중앙 차분법을 이용한 명시적인 동적 해석 알고리즘에 적용되었으며 이때 판의 대각질량행렬은 특별집중질량법을 사용하여 형성하였다. 개발된 판의 성능은 수치예제를 통하여 평가하고 검증하였다.

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