• 제목/요약/키워드: Quadratic Elements

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Structural analysis of a prestressed segmented girder using contact elements in ANSYS

  • Lazzari, Paula M.;Filho, Americo Campos;Lazzari, Bruna M.;Pacheco, Alexandre R.
    • Computers and Concrete
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    • 제20권3호
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    • pp.319-327
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    • 2017
  • Studying the structural behavior of prestressed segmented girders is quite important due to the large use this type of solution in viaducts and bridges. Thus, this work presents a nonlinear three-dimensional structural analysis of an externally prestressed segmented concrete girder through the Finite Element Method (FEM), using a customized ANSYS platform, version 14.5. Aiming the minimization of the computational effort by using the lowest number of finite elements, a new viscoelastoplastic material model has been implemented for the structural concrete with the UPF customization tool of ANSYS, adding new subroutines, written in FORTRAN programming language, to the main program. This model takes into consideration the cracking of concrete in its formulation, being based on fib Model Code 2010, which uses Ottosen rupture surface as the rupture criterion. By implementing this new material model, it was possible to use the three-dimensional 20-node quadratic element SOLID186 to model the concrete. Upon validation of the model, an externally prestressed segmented box concrete girder that was originally lab tested by Aparicio et al. (2002) has been computationally simulated. In the discretization of the structure, in addition to element SOLID186 for the concrete, unidimensional element LINK180 has been used to model the prestressing tendons, as well as contact elements CONTA174 and TARGE170 to simulate the dry joints along the segmented girder. Stresses in the concrete and in the prestressing tendons are assessed, as well as joint openings and load versus deflection diagrams. A comparison between numerical and experimental data is also presented, showing a good agreement.

유한요소법에 의한 이종재료 접합면에 수직인 균열의 응력확대계수 결정 (Determination of Stress Intensity Factor for a Crack Perpendicular to Bimaterial Interface by Finite Element Method)

  • 임원균;김상철;이창수
    • 대한기계학회논문집
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    • 제17권10호
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    • pp.2398-2406
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    • 1993
  • Abdi's numerical method(ref.13) for representing a stress singularity by shifting the mid-side nodes of isoparametric elements is reviewed. A simple technique to obtain the optimal position of the mid-side nodes in quadratic isoparametric finite element is presented. From this technique we can directly obtain the position of the side-nodes adjacent to the crack tip. It is also observed that the present technique provides good accuracy for the expression of the opening displacement and the determination of the mid-side nodes for more wide range of material properties than that obtained by Abdicant the finite element method is applied to determine stress intensity factors for pressurized crack perpendicular to and terminating at the interface of two bonded dissimilar materials. A proper definition for stress intensity factors of a crack perpendicular to bimaterial interface is provided. It is based upon a near-tip displacement solutions on the crack surface for interface crack between two dissimilar materials. Numerical testing is carried out with the eight-node and six-node elements. The results obtained are compared with the previous solutions.

3차원 공간 판구조물의 유한요소 해석에 관한 연구 (A Study on the Finite Element Analysis of Three Dimensional Plate Structures)

  • 권오영;남정길
    • 수산해양기술연구
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    • 제35권1호
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    • pp.54-59
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    • 1999
  • High-speed electronic digital computers have enabled engineers to employ various numerical discretization techniques for solutions of complex problems. The Finite Element Method is one of the such technique. The Finite Element Method is one of the numerical analysis based on the concepts of fundamental mathematical approximation. Three dimensional plate structures used often in partition of ship, box girder and frame are analyzed by Finite Element Method. In design of structures, the static deflections, stress concentrations and dynamic deflections must be considered. However, these problem belong to geometrically nonlinear mechanical structure analysis. The analysis of each element is independent, but coupling occurs in assembly process of elements. So, to overcome such a difficulty the shell theory which includes transformation matrix and a fictitious rotational stiffness is taken into account. Also, the Mindlin's theory which is considered the effect of shear deformation is used. The Mindlin's theory is based on assumption that the normal to the midsurface before deformation is "not necessarily normal to the midsurface after deformation", and is more powerful than Kirchoff's theory in thick plate analysis. To ensure that a small number of element can represent a relatively complex form of the type which is liable to occur in real, rather than in academic problem, eight-node quadratic isoparametric elements are used. are used.

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Hermite 유동함수법에 의한 자연대류 유동 계산 (Computations of Natural Convection Flow Using Hermite Stream Function Method)

  • 김진환
    • 한국해양공학회지
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    • 제23권5호
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    • pp.1-8
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    • 2009
  • This paper is a continuation of the recent development on Hermite-based divergence free element method and deals with a non-isothermal fluid flow thru the buoyancy driven flow in a square enclosure with temperature difference across the two sides. The basis functions for the velocity field consist of the Hermite function and its curl while the basis functions for the temperature field consists of the Hermite function and its gradients. Hence, the number of degrees of freedom at a node becomes 6, which are the stream function, two velocities, the temperature and its x and y derivatives. This paper presents numerical results for Ra = 105, and compares with those from a stabilized finite element method developed by Illinca et al. (2000). The comparison has been done on 32 by 32 uniform elements and the degree of approximation of elements used for the stabilized finite element are linear (Deg. 1) and quadratic (Deg. 2). The numerical results from both methods show well agreements with those of De vahl Davi (1983).

지적장애를 동반한 사지마비형 뇌성마비 아동의 주의집중력 향상을 위한 아이트래커기반 게임화 요소 연구 (A Study on The Gamification Elements of Eye-tracker for Improving Attention Concentration of Children with Quadratic Palsy with Intellectual Disability)

  • 정윤아;우탁
    • 한국게임학회 논문지
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    • 제20권4호
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    • pp.57-66
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    • 2020
  • 본 논문에서는 아이트래커를 활용한 상호작용 요소들과 지적장애아 주의집중력의 특성을 분석하여 디지털콘텐츠를 설계 할 때 활용할 수 있는 게임화 요소들을 제시한다. 사지마비형 뇌성마비 아동에게 아이트래커는 디지털콘텐츠의 접근성을 높여 줄 것이다. 전경적 게임화는 선택적 주의집중력을, 배경적 게임화와 내재적 동기 유발은 주의집중력의 지속을, 전경적 게임화와 외재적 동기 유발은 주의집중의 이동능력을 위해 활용될 수 있다.

3차원 균열의 응력확대계수에 대한 해석의 자동화 (Automation of Analysis for Stress Intensity Factor of 3-D Cracks)

  • 이준성
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 춘계학술대회 논문집
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    • pp.496-500
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    • 1997
  • This paper describes an automated system for analyzing the stress intensity factors(SIFs) of three-dimensional (3D) cracks. A geometry model, i.e.a solid containing one or several 3D cracks is defined. Several distributions of local node density are chosen, and then automatically superposed on one another over the geometry model by using the fuzzy knowledge processing. Nodes are generated by the bucketing method, and ten-noded quadratic tetrahedral solid elements are generated by the Delauuay triangulation techniques. The singular elements such that the mid-point nodes near crack fornt are shifted at the quarter-points are automatically placed along the 3D crack front. THe complete finite element (FE) model generated, i.e the mesh with material properties and boundary conditions is given to one of the commercial FE codes, and a stress analysis is performed. The SIFs are calculated using the displacement extrapolation method. To demonstrate practical performance of the present system, a semi- elliptical surface crack in a plate subjected to tension is solved.

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구형에서 중성자 수송방정식의 유한요소법에 의한 해석 (Finite Element Analysis of the Neutron Transport Equation in Spherical Geometry)

  • Kim, Yong-Ill;Kim, Jong-Kyung;Suk, Soo-Dong
    • Nuclear Engineering and Technology
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    • 제24권3호
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    • pp.319-328
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    • 1992
  • 일차원 구에서 유한요소법의 Galerkin formulation이 일차형태의 단일 에너지 중성자 수송방정식의 적분법에 적용되었다. 구분적으로 1차 혹은 2차인 Lagrange 다항식들이 선형대수 방정식들의 집합을 만들기 위해 적분법에 있는 각의존 중성자속(angular flux)에 대하여 활용되었다. 수치해석이 균질구에서의 임계문제와 비균질구에서의 scalar flux 분포에 대해서 행해졌다. 공간과 각에 대하여 연속적인 유한요소를 사용한 균질구에서의 임계문제에 대한 유한요소법의 결과들은 이론적인 해들자 비교되었다. 비균질 문제에서는 각자 공간에 대하여 불연속 유한요소를 사용하여 구한 scalar flux 분포는 ANISN code에 의한 계산결과와 잘 일치하였다.

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Analysis of Three-Dimensional Cracks in Inhomogeneous Materials Using Fuzzy Theory

  • Lee, Yang-Chang;Lee, Joon-Seong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권2호
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    • pp.119-123
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    • 2005
  • This paper describes a fuzzy-based system for analyzing the stress intensity factors (SIFs) of three-dimensional (3D) cracks. 3D finite element method(FEM) was used to obtain the SIF for subsurface cracks and surface cracks existing in inhomogeneous materials. A geometry model, i.e. a solid containing one or several 3D cracks is defined. Several distributions of local node density are chosen, and then automatically superposed on one another over the geometry model by using the fuzzy theory. Nodes are generated by the bucketing method, and ten-noded quadratic tetrahedral solid elements are generated by the Delaunay triangulation techniques. The singular elements such that the mid-point nodes near crack front are shifted at the quarter-points, and these are automatically placed along the 3D crack front. The complete FE model is generated, and a stress analysis is performed. The SIFs are calculated using the displacement extrapolation method. The results were compared with those surface cracks in homogeneous materials. Also, this system is applied to analyze cladding effect of surface cracks in inhomogeneous materials.

부유 플랩형 고조방파제의 파랑응답 - 수치모의 (Wave Responses of Buoyant Flap-typed Storm Surge Barriers - Numerical Simulation)

  • 정신택;고동휘;박우선
    • 한국해안·해양공학회논문집
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    • 제21권2호
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    • pp.196-208
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    • 2009
  • 본 논문에서는 부유 플랩형 고조방파제의 응답특성에 대해서 연구하였다. 효율적인 연구를 위하여 파동장은 선형 포텐셜 이론을 적용하여 모형화하였으며, 구조물의 운동은 Newton의 운동 제2법칙을 사용하여 나타내었다. 유체 영역은 통상의 2차 보간함수를 갖는 등매개변수요소로 모형화하였으며, 방사경계조건에 접하는 외부 영역은 무한요소로 처리하였다. 수리실험결과와의 비교를 통하여 수립된 수치모델의 타당성을 입증하였으며, 개발된 수치모델을 이용하여 마산만에 부유 플랩형 고조방파제 적용가능성에 대해서 살펴보았다.

Matrix completion based adaptive sampling for measuring network delay with online support

  • Meng, Wei;Li, Laichun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제14권7호
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    • pp.3057-3075
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    • 2020
  • End-to-end network delay plays an vital role in distributed services. This delay is used to measure QoS (Quality-of-Service). It would be beneficial to know all node-pair delay information, but unfortunately it is not feasible in practice because the use of active probing will cause a quadratic growth in overhead. Alternatively, using the measured network delay to estimate the unknown network delay is an economical method. In this paper, we adopt the state-of-the-art matrix completion technology to better estimate the network delay from limited measurements. Although the number of measurements required for an exact matrix completion is theoretically bounded, it is practically less helpful. Therefore, we propose an online adaptive sampling algorithm to measure network delay in which statistical leverage scores are used to select potential matrix elements. The basic principle behind is to sample the elements with larger leverage scores to keep the traits of important rows or columns in the matrix. The amount of samples is adaptively decided by a proposed stopping condition. Simulation results based on real delay matrix show that compared with the traditional sampling algorithm, our proposed sampling algorithm can provide better performance (smaller estimation error and less convergence pressure) at a lower cost (fewer samples and shorter processing time).