• 제목/요약/키워드: shape equation

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REAL HYPERSUREAACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH PARALLEL SHAPE OPERATOR II

  • Suh, Young-Jin
    • 대한수학회지
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    • 제41권3호
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    • pp.535-565
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    • 2004
  • In this paper we consider the notion of ξ-invariant or (equation omitted)-invariant real hypersurfaces in a complex two-plane Grassmannian $G_2$( $C^{m+2}$) and prove that there do not exist such kinds of real hypersurfaces in $G_2$( $C^{m+2}$) with parallel second fundamental tensor on a distribution ζ defined by ζ = ξ U(equation omitted), where(equation omitted) = Span {ξ$_1$, ξ$_2$, ξ$_3$}.X>}.

TCS요소론 이용한 인장 막구조물의 초기명상해석 및 응력변형해석 (Initial Shape Finding and Stress-Deformation Analysis of Pretensioned Membrane Structures with Triangular Constants Strain Element)

  • 고혁준;송평훈;송호산
    • 한국공간정보시스템학회:학술대회논문집
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    • 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
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    • pp.230-237
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    • 2004
  • In this study, equation of finite element is formulated to analyze relations of large deformation-small deformation considering geometrical nonlinear for membrane structure. Total Lagrangian Formulation(TLF) is introduced to formulate theory and equation of motion considering Triangular Constant Strain(TCS) element in finite, element analysis is formulated. Finite element program is made by equation of motion considering TLF. This study analyzed a variety of examples, so compared with the past results.

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3차원 형상을 고려한 점성토 지반 원형 수직구 굴착 중 히빙에 대한 안전율 산정을 위한 연구 (A study for calculating factor of safety against basal heave during circular vertical shaft excavation in clay considering 3D shape)

  • 강석준;조계춘;김정태;김한성;홍은수
    • 한국터널지하공간학회 논문집
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    • 제20권4호
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    • pp.717-729
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    • 2018
  • 연약지반 수직구 굴착 중에는 주변 지반의 하중으로 인한 굴착면의 히빙이 발생할 위험이 있기 때문에 굴착 설계 시 지반 안정성에 대한 고려가 필수적이다. 그러나 연약지반 히빙 안전율 산정은 2차원 산정식으로 수행하여야 하므로 수직구의 3차원 형상을 고려하지 못하는 문제가 있다. 본 연구에서는 수직구 굴착 시 히빙 안전율에 대한 선행 연구를 보완하여 3차원 효과를 반영하는 히빙에 대한 안전율 식을 제안하였으며, 해당 식이 기존 식에 비해 3차원 원형 수직구 굴착에서의 히빙 안정성을 더 적절하게 반영할 수 있음을 확인하였다.

얕은 정현형 아치의 불안정 거동에 관한 연구(1) : 형상특성에 따른 정적좌굴의 분류 (The Instability Behavior of Shallow Sinusoidal Arches(1) : Classification of Static Buckling According to Shape Characteristics)

  • 김승덕;박지윤;권택진
    • 한국전산구조공학회논문집
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    • 제12권3호
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    • pp.407-415
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    • 1999
  • 쉘형 구조물의 불안정 현상은 크게 뜀좌굴과 분기좌굴로 분류할 수 있다. 이들은 구조물의 형상특성, 특히 형상 초기불완전에 대해 매우 민감하게 반응한다. 본 연구에서는, 형상 초기불완전을 가진 쉘형 구조물의 불안정 거동을 파악하기 위해 양단이 힌지로 고정된 얕은 정현형 아치의 평형경로를 조사한다. 비선형 방정식을 얻기 위해 Galerkin법을 이용하였으며, 증분형 방정식으로의 변환은 섭동법을 이용하였다.

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ResNet을 기반으로 한 Poisson-Boltmann 방정식의 풀이법 (ResNet based solver for Poisson-Boltzmann equation)

  • 조광현
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2022년도 춘계학술대회
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    • pp.216-217
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    • 2022
  • Poisson-Boltzmann은 세포안의 전하의 영향을 기술하는 방정식이며, 생물 등의 분야에서 중요한 역할을 한다. 본 발표에서는 ResNet을 기반으로 한 PBE의 솔루션 예측 방법을 소개 한다. 먼저 FEM을 기반으로 한 방법으로 sample들을 생성한다. 그리고, 세포의 모양과 전하의 위치를 input으로 하고, 전위를 output으로 하는 network를 훈련시킨다.

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수중 유체저장용 막구조물 형상의 이론적 해석 (An Analytic Solution of the Shape of a Partially Filled, Submerged Membrane Container)

  • 최윤락
    • 한국해양공학회지
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    • 제22권5호
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    • pp.39-43
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    • 2008
  • For a partially filled and deeply submersed membrane container, an analytic solution for similarity shape was studied. The static shape of a membrane container can be expressed as a set of nonlinear ordinary differential equations. These equations are combined into an integrable equation. The solution of the equation is derived in terms of elliptic integrals, the arguments of which contain an unknown at the point of inflection. The point of inflection is determined by using the boundary condition at a separating point. Some characteristic values of the similarity shape were evaluated and the shapes are illustrated.

직교이방성 I형 단면 압축재의 국부좌굴 주도요소판별 (Identification of Dominant Plate Component for Local Buckling of Orthotropic I-Shape Compression Member)

  • 김학군;채수하;정상균;윤순종
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 춘계학술발표대회 논문집
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    • pp.9-14
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    • 2000
  • This paper presents the analytical results of local buckling of orthotropic I-shape compression members. Employing the equilibrium approach, the characteristic equation for local buckling of I-shape compression member is derived. Using the derived equation, the minimum buckling coefficients with respect to the ratio of width to thickness for the I-shape column are suggested as a graphical form. In addition, the dominant plate component initiating the local buckling of I-shape column is also identified by using the approximate solution and the results are plotted with dotted line on the minimum bucking coefficient curve.

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형상기억합금을 이용한 3 차원 비선형 트러스 지능작동기 해석 (Analysis of 3-D non-linear truss smart actuator using SMA)

  • 양성필;김상헌;리녕학;류정현;조맹효
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 춘계학술대회논문집
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    • pp.557-561
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    • 2008
  • Shape memory alloys (SMA) have interesting features which are the superelastic effect (SE), shape memory effect (SME), two-way SME (TWSME), and so on. These are utilized in actuation factor. The thermo-mechanical constitutive equations of SMA proposed by Lagoudas et al. were employed in the present study for simulating SMA truss structures. The constitutive equation includes the necessary internal variables to account for the material transformations and is utilized in the non-linear finite element procedure of three dimensional truss structures that composed SMA bar (wholly or partially). In this study, we observed which element should be actuated to get a desired shape (actuation shape) from computational analysis. To reach this goal, we apply SMA constitutive equation to non-linear finite element formulation. And then, we simulate two-way shape memory effect as well as superelastic effect of various three dimensional truss using SMA.

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직교이방성 I-Shape 압축재의 국부-전체 상호좌굴에 관한 해석적 연구 (An Analytical Study on the Local - global Interaction Buckling of Orthotropic I-Shape Compression Members)

  • 김학군;정상균;윤순종
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 추계학술발표대회 논문집
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    • pp.1-4
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    • 2000
  • This paper presents the analytical results of local - global interaction buckling of orthotropic I-shape compression members. Employing the equilibrium approach, the characteristic equation for local and global interaction buckling of I-shape compression member is derived. Using the derived equation, the buckling coefficients with respect to the ratio of length to width for the I-shape column are suggested as a graphical form. In addition, graphical forms of local, global and FEM results are presents, and they are compared with those in published document.

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형상기억합금의 양방향효과를 이용한 두개의 형상기억합금선이 부착된 작동기의 수치해석 (Numerical Simulation of Double SMA wire Actuator Using Two-Way Shape Memory Effect of SMA)

  • 김상헌;조맹효
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.287-290
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    • 2004
  • A structure using the two-way shape memory effect (TWSME) returns to its initial shape by increasing or decreasing temperature under initial residual stress. Through the thermo-mechanical constitutive equation of shape memory alloy(SMA) proposed by Lagoudas et al., we simulate the behavior of a double actuator in which two SMA wires are attached to the tip of panel under the initially given residual stress. Through the numerical results conducted in the present study, the proposed actuator device is suitable for repeated actuation. The simulation algorithm proposed in the present study can be applied extensively to the analysis of the assembled .system of SMA-actuator and host structure in the practical applications.

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