• 제목/요약/키워드: Normal element

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STRONGLY NIL CLEAN MATRICES OVER R[x]/(x2-1)

  • Chen, Huanyin
    • 대한수학회보
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    • 제49권3호
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    • pp.589-599
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    • 2012
  • An element of a ring is called strongly nil clean provided that it can be written as the sum of an idempotent and a nilpotent element that commute. We characterize, in this article, the strongly nil cleanness of $2{\times}2$ and $3{\times}3$ matrices over $R[x]/(x^2-1)$ where $R$ is a commutative local ring with characteristic 2. Matrix decompositions over fields are derived as special cases.

유한요소법을 이용한 축대칭 다단계 딥드로잉 금형 설계 해석 (Axisymmetric Multi-Stage Deep Drawing Dies Design Analysis Using Finite Element Method)

  • 이동호;금영탁
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 제2회 박판성형심포지엄 논문집 박판성형기술의 현재와 미래
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    • pp.65-73
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    • 1998
  • The design analysis of axisymmetric, multi-stage deep drawing dies was performed using the rigid-viscoplastic finite element formulation. In the formulation, the axisymmetric CFS algorithm was employed. Hill's non-quadratic normal anisotropic yield criterion and isotropic hardening rule were considered. For trial initial displacements and tool contact points, the geometric force equilibrium method was adopted. In order to see the validity of the formulation, the multi-stage deep drawing processes of shell-cylinder front part of hydraulic booster were simulated. The simulation showed good agreements with measurements and PAM-STAMP.

3차원 비선형 정자장 문제의 유한요소 해석을 위한 적응 요소분할 기법 (An Adaptive Mesh Refinement Scheme for 3D Non-Linear Finite Element Analysis of Magnetostatic Problems)

  • 최용권;류재섭;고창섭
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제55권6호
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    • pp.306-313
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    • 2006
  • A three dimensional adaptive finite element refinement algorithm is developed for non-linear magnetostatic field problems. In the method, the edge elements are used for finite element formulation, and the local error in each element is estimated from the fact that the tangential components of magnetic field intensity and the normal components of magnetic flux density should be continuous at the interface of the two adjacent elements. Based on the estimated error, the elements which have big error are divided into several elements using bisection method. The effectiveness of the developed algorithm is proved through numerical examples.

경계층을 가진 박판구조물의 유한요소 해석을 위한 체눈 디자인 (Mesh Design for the Finite Element Analysis of Thin Structures with Boundary Layers)

  • 조진래
    • 전산구조공학
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    • 제9권4호
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    • pp.165-172
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    • 1996
  • 들보나 아치, 판재 그리고 쉘과 같은 박판구조물의 경계부근의 매우 좁은 영역에는 경계층이 존재하는데, 이 영역에서 해는 급격하게 변화하는 특이 거동을 나타낸다. 유한요소법을 이용하여 이러한 물체의 거동을 해석하는 경우, 이런 특이성을 묘사하기 위해 유한요소 체눈패턴이 대단히 중요한 역할을 한다. 이 논문은 경계층에 대한 이론적 해석과 최적의 체눈패턴을 형성하기 위한 가이드를 제시한다. 또한 이론적인 결과를 입증하는 예제도 소개하고자 한다.

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A 3D co-rotational beam element for steel and RC framed structures

  • Long, Xu;Tan, Kang Hai;Lee, Chi King
    • Structural Engineering and Mechanics
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    • 제48권5호
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    • pp.587-613
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    • 2013
  • A 3-node 3D co-rotational beam element using vectorial rotational variables is employed to consider the geometric nonlinearity in 3D space. To account for shape versatility and reinforced concrete cross-sections, fibre model has been derived and conducted. Numerical integration over the cross-section is performed, considering both normal and shear stresses. In addition, the derivations associated with material nonlinearity are given in terms of elasto-plastic incremental stress-strain relationship for both steel and concrete. Steel reinforcement is treated as elasto-plastic material with Von Mises yield criterion. Compressive concrete behaviour is described by Modified Kent and Park model, while tensile stiffening effect is taken into account as well. Through several numerical examples, it is shown that the proposed 3D co-rotational beam element with fibre model can be used to simulate steel and reinforced concrete framed structures with satisfactory accuracy and efficiency.

RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF MIXED FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS

  • Chen, Yanping;Huang, Yunqing;Hou, Tianliang
    • 대한수학회지
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    • 제49권3호
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    • pp.549-569
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    • 2012
  • In this paper asymptotic error expansions for mixed finite element approximations to a class of second order elliptic optimal control problems are derived under rectangular meshes, and the Richardson extrapolation of two different schemes and interpolation defect correction can be applied to increase the accuracy of the approximations. As a by-product, we illustrate that all the approximations of higher accuracy can be used to form a class of a posteriori error estimators of the mixed finite element method for optimal control problems.

T4 티미딜산 생성효소 유전자의 Splicing 활성에 있어 Internal Guide Sequence 구조의 기능적 역할 (Functional Role of the Internal Guide Sequence in Splicing Activity of T4 Thymidylate Synthase Gene in vivo)

  • Shin, Sook;Park, In-Kook
    • 미생물학회지
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    • 제31권3호
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    • pp.208-213
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    • 1993
  • The structural and functional roles of IGS element of T4 td intron in thymidylate synthase activity in vivo were investigated Site-directed mutagenesis was employed to crete mutations of IGS element of T4 td intron, When a U-G pari was changed to a U-C pari in the 5' splice site of P1 stem of td intron, the activity of thymidylate synthase was completely abolished whereas the wild type retained the normal activity of enzyme. When U at 12 position within IGS element was changed to C, the activity of thymidylate synthase was approximately 32% of that of the wild type. Comparison of enzyme activities suggests that IGS element within P1 structure is an essential requirement for splicing of td gene in vivo.

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논 엘레멘트 믹서의 혼합 메커니즘에 관한 수치해석적 검토 (Numerical Analysis Study of the Mixing Mechanism of Non-element Mixer)

  • 유선호
    • 한국분무공학회지
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    • 제20권1호
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    • pp.1-6
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    • 2015
  • Visualization of the mixing pattern in a non-element mixer was carried out using laser induced fluorescence(LIF) to evaluate characteristics of mixer consisting of the main flow pipe and branch flow pipes. The branch flows were injected periodically with the period $T_{in}$ normal to the main flow, and rhodamine B was mixed into the most upstream branch flow to visualize mixing pattern in the main flow pipe by LIF. The length of boundary line L of the LIF image was measured. In this study, a numerical analysis was performed to identify the mixing process of the non-element mixer, and the results were compared with experimental results. Each result was almost the same. When the number of branch flows is increased, the mixing pattern became complicated and was supposed to become chaotic. The length of boundary line L increased exponentially with an increase in the number of branch flows.

유한요소해석을 이용한 이형성 고관절의 선반형성술에 대한 생체역학 해석 (Biomechanical Analysis of the Shelf Operation for Dysplastic Hip Joint by Finite Element Analysis)

  • 박원만;김윤혁
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2006년도 춘계학술대회 논문집
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    • pp.519-520
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    • 2006
  • The aim of this study was biomechanical analysis of shelf operation in patients with dysplastic hip joint by finite element contact analysis. Two dimensional CT images were used to construct the finite element models to analyze the contact pressure, and the 3D expansion of the Ninomiya's method was used in the calculation of the resultant force in the hip joint. The surgery recovered the center-edge angles to the normal anatomical range and increased the contact areas in two patients. The maximum contact pressures and von-mises stresses were decreased. The present study provides the biomechanical guideline of optimal surgical parameters to maximize the surgical efficiency and the clinical outcomes in dysplastic hip joint using the shelf operation.

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Chlorella의 다량원소 결핍에 따른 생장 및 광합성능의 변화 (Effect of Macronutritional-element Deficiencies on the Growth and Photosynthetic Activity of Chlorella Cells)

  • 장래성;이영녹
    • 미생물학회지
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    • 제13권1호
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    • pp.31-36
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    • 1975
  • Chlorella ellipsoidea cells were cultured in a phosphate, magnesium, sulfur or potassium-free medium. Some portions of cells were taken out at intervals during the culture, and physiological activities such as growth rate, reproduction, photosynthetic activity, and biosynthesis of cholorophyll of macro-element deficient cells were measured. 1) Generally, growth rate, reproduction, photosynthetic activities, and biosynthesis of chlorophyll of the macro-element deficient cells decreased more or less, compared with those of the normal cells. 2) The growth and reproduction of the algal cells in sulfur, or magnesium free medium were retarted severely with the chlorosis ; the photosynthetic activity and the content of chlorophyll showed the same tendency. 3) It is considered that the decrease in growth rate of macro-element deficient Chlorella cells is due to the decrease in photosynthetic activity owing to the decrease in chlorophyll content of the cells.

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