• 제목/요약/키워드: explicit integration

검색결과 211건 처리시간 0.025초

회전쉘의 동적 특성에 관한 연구 (Dynamic Characteristics of Revolution Shells)

  • Park, Sung-Jin
    • 한국재난정보학회 논문집
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    • 제10권1호
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    • pp.123-140
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    • 2014
  • 회전쉘의 정적문제 및 동적문제에 대해서 선점법에 의한 공간영역의 이산화에 대한 유효성을 비교 검토하였고, 정식화에 있어서 이산화 후의 연립방정식 및 시간에 관한 연립상미분방정식의 계수행렬에 대한 영향을 검토하였다. 수치해석법에는 동적특성의 문제를 간단하고 효과적인 방법을 위하여 선점법을 제안하였으며, 수치해석예로서 평균2승잔차법과의 비교검토로 고정도의 해석을 위한 정확성을 검증하였다.

Analytical solutions for static bending of edge cracked micro beams

  • Akbas, Seref Doguscan
    • Structural Engineering and Mechanics
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    • 제59권3호
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    • pp.579-599
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    • 2016
  • In this study, static bending of edge cracked micro beams is studied analytically under uniformly distributed transverse loading based on modified couple stress theory. The cracked beam is modelled using a proper modification of the classical cracked-beam theory consisting of two sub-beams connected through a massless elastic rotational spring. The deflection curve expressions of the edge cracked microbeam segments separated by the rotational spring are determined by the Integration method. The elastic curve functions of the edge cracked micro beams are obtained in explicit form for cantilever and simply supported beams. In order to establish the accuracy of the present formulation and results, the deflections are obtained, and compared with the published results available in the literature. Good agreement is observed. In the numerical study, the elastic deflections of the edge cracked micro beams are calculated and discussed for different crack positions, different lengths of the beam, different length scale parameter, different crack depths, and some typical boundary conditions. Also, the difference between the classical beam theory and modified couple stress theory is investigated for static bending of edge cracked microbeams. It is believed that the tabulated results will be a reference with which other researchers can compare their results.

특이점분포법의 표면적분항의 해석적 계산 (Analytical Evaluation of the Surface Integral in the Singularity Methods)

  • 서정천
    • 대한조선학회논문집
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    • 제29권1호
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    • pp.14-28
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    • 1992
  • 평면판 요소에 균일한 혹은 선형적인 세기를 갖는 쏘오스 또는 다이폴이 분포된 경우, Stokes 정리를 이용하여, 표면 특이점 분포방법에서 나타나는 표면 적분식을 선적분 형태로 변환할 수 있다. 더우기 판요소가 다각형인 경우, 유기 포텐시얼과 유기속도를 구하기 위한 이 선적분의 closed-forms을 유도하였다. 이들 적분식의 해석적 계산을 통해 계산시간을 단축하고 수치해의 정도를 향상시킬 수 있을 것이다. 몇개의 계산예를 통해 해석적 적분 계산이 수치적 적분보다 우수함을 알 수 있다.

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만곡수로에서의 곡률반경 변화에 따른 흐름특성 (Flow Characteristics for the Variation of Radius of Curvature in Open Channel Bends)

  • 윤세의;이종태
    • 물과 미래
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    • 제23권4호
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    • pp.435-444
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    • 1990
  • 만곡수로에서의 곡률반경에 대한 하폭비 변화에 따른 흐름특성을 단순화된 수치모형을 이용하여 분석하였다. 각 운동량 방정식과 힘의 평형원리로부터 각가 2차 흐름속도와 횡방향하상경사를 계산하였다. 깊이 방향으로 적분된 연속방정식과 흐름방향의 운동방정식을 양적 유한차분법으로부터 그 해를 구하였다. 곡률반경에 대한 하폭의 비를(Rc/B) 2.7, 5.4 및 8.1로 변화시키면 수치실험을 실행하여, 그 결과로부터 2차 흐름속도, 흐름방향유속, 최대유속의 이동경로, 편의각 및 질량이동유속에 관한 특성을 분석하였다.

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Comparative Study on Collision Strength of LNG Carriers

  • Choe, Ick-Hung;Kim, Jae-Hyun;Ahn, Ho-Jong;Kim, Oi-Hyun
    • Journal of Ship and Ocean Technology
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    • 제5권3호
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    • pp.36-44
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    • 2001
  • The collision energy absorbing characteristics of side structure of the LNG carriers which have the cargo containment systems of the spherical and the membrane types are compared. A failure mechanism of the double hull side structures of 130, 000 $m^3$ class LNG carriers under sideways collision event has been simulated by using the detailed finite element calculations. In ship collision analysis, the finite element method based on explicit time integration has been use[1 with much success. Finite element modeling techniques for detail description of structural members antral ship motion regarding the dynamic behavior allowed to investigate the effect of bow shape and the initial contact position on side shell of collided ship. In the numerical simulations of the ship-to-ship sideways collision, the effect of the colliding bow shapes and the change of the colliding ship draft are investigated. The critical collision energy which is absorbed by a side structure of a collided ship until the fore-end of colliding ship arrives at the boundary of the cargo tank is calculated. The critical speed of specified colliding ships which can not penetrate the boundary of the LNG cargo tank of the collided ship under collision accident if evaluated.

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Assumed strain quadrilateral C0 laminated plate element based on third-order shear deformation theory

  • Shi, G.;Lam, K.Y.;Tay, T.E.;Reddy, J.N.
    • Structural Engineering and Mechanics
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    • 제8권6호
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    • pp.623-637
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    • 1999
  • This paper presents a four-noded quadrilateral $C^0$ strain plate element for the analysis of thick laminated composite plates. The element formulation is based on: 1) the third-order shear deformation theory; 2) assumed strain element formulation; and 3) interrelated edge displacements and rotations along element boundaries. Unlike the existing displacement-type composite plate elements based on the third-order theory, which rely on the $C^1$-continuity formulation, the present plate element is of $C^0$-continuity, and its element stiffness matrix is evaluated explicitly. Because of the third-order expansion of the in-plane displacements through the thickness, the resulting theory and hence elements do not need shear correction factors. The explicit element stiffness matrix makes the present element more computationally efficient than the composite plate elements using numerical integration for the analysis of thick layered composite plates.

Metal forming analysis using meshfree-enriched finite element method and mortar contact algorithm

  • Hu, Wei;Wu, C.T.
    • Interaction and multiscale mechanics
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    • 제6권2호
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    • pp.237-255
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    • 2013
  • In this paper, a meshfree-enriched finite element method (ME-FEM) is introduced for the large deformation analysis of nonlinear path-dependent problems involving contact. In linear ME-FEM, the element formulation is established by introducing a meshfree convex approximation into the linear triangular element in 2D and linear tetrahedron element in 3D along with an enriched meshfree node. In nonlinear formulation, the area-weighted smoothing scheme for deformation gradient is then developed in conjunction with the meshfree-enriched element interpolation functions to yield a discrete divergence-free property at the integration points, which is essential to enhance the stress calculation in the stage of plastic deformation. A modified variational formulation using the smoothed deformation gradient is developed for path-dependent material analysis. In the industrial metal forming problems, the mortar contact algorithm is implemented in the explicit formulation. Since the meshfree-enriched element shape functions are constructed using the meshfree convex approximation, they pose the desired Kronecker-delta property at the element edge thus requires no special treatments in the enforcement of essential boundary condition as well as the contact conditions. As a result, this approach can be easily incorporated into a conventional displacement-based finite element code. Two elasto-plastic problems are studied and the numerical results indicated that ME-FEM is capable of delivering a volumetric locking-free and pressure oscillation-free solutions for the large deformation problems in metal forming analysis.

음악활동시간의 교사질문특성 탐색 (The Investigation of the Characteristics of a Teacher's Questions in Music Activity)

  • 임은애
    • 수산해양교육연구
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    • 제21권3호
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    • pp.347-360
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    • 2009
  • The purpose of this study was to investigate the characteristics of a teacher's questions in each context of musical activity by analyzing those questions in kindergarten music activity qualitatively. The participant in research was a teacher in charge of the class of children aged 7. Analysis was carried out on the data collected for 3 months through participation observance note, recording material, interview material and weekly plan. As a result, the teacher's questions were leaned upon the convergent questions to confirm the reflection of information and the understanding of function in singing and performing activity. On the other hand, the teacher's questions were leaned upon the diffusive questions for the thought of integration of information in composition activity and upon the diffusive questions for representing feeling or image with no relation to musical meaning in appreciation activity. However, the teacher's questions for control were conducted together with one of the questions, the question mentioned ahead. The tacit control question in singing and performing activity and the explicit control question in composition activity were conducted together, and in appreciation activity, the simple questions to lead the class, though not with the purpose to control attention, was conducted together.

초탄성 거동을 고려한 NiTi 합금 튜브의 변형해석 (Finite Element Analysis of NiTi Alloy Tubes with the Superelastic Behavior)

  • 강우종
    • 한국자동차공학회논문집
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    • 제14권5호
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    • pp.100-106
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    • 2006
  • NiTi alloy known as its shape memory effect also has superelastic characteristic, which makes it possible to be elastic under large deformation. Since the tensile strength of the alloy is very high and density is low compared to carbon steel, it can be applied to lightweight structural design. In order to design structures with shape memory alloy, finite element analysis is used and a constitutive algorithm based on Aurrichio's model is added to LS-DYNA as a user subroutine. Explicit time integration and shell element formulation are used to simulate thin-walled structures. The algorithm uses Drucker-Prager type loading condition to calculate martensite volume fraction during the transformation. The implemented algorithm is verified in uni-axial loading condition and martensite phase transformation can be detected well with the algorithm. In this study, as a energy absorbing structure, thin-walled tube is modeled with finite elements and the deformation behavior is studied. Simulation results has shown that the martensite transformation was generated in loading condition. After plastic deformation reached, the load decreases linearly without reverse martensite transformation.

Strength and stiffness of cold-formed steel portal frame joints using quasi-static finite element analysis

  • Mohammadjani, Chia;Yousefi, Amir M.;Cai, Shu Qing;Clifton, G. Charles;Lim, James B.P.
    • Steel and Composite Structures
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    • 제25권6호
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    • pp.727-734
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    • 2017
  • This paper describes a quasi-static finite element analysis, which uses the explicit integration method, of the apex joint of a cold-formed steel portal frame. Such cold-formed steel joints are semi-rigid as a result of bolt-hole elongation. Furthermore, the channel-sections that are being connected have a reduced moment capacity as a result of a bimoment. In the finite element model described, the bolt-holes and bolt shanks are all physically modelled, with contact defined between them. The force-displacement curves obtained from the quasi-static analysis are shown to be similar to those of the experimental test results, both in terms of stiffness as well as failure load. It is demonstrated that quasi-static finite element analysis can be used to predict the behavior of cold-formed steel portal frame joints and overcome convergence issues experienced in static finite element analysis.