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A Note on Potent Elements

  • Chen, Huanyin
    • Kyungpook Mathematical Journal
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    • v.45 no.4
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    • pp.519-526
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    • 2005
  • In this paper, we prove that every exchange ring can be characterized by potent elements. Also we extend [10, Theorem 3.1 and Theorem 4.1] to quasi-clean rings in which every element is a sum of a potent element and a unit.

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The use of the strain approach to develop a new consistent triangular thin flat shell finite element with drilling rotation

  • Guenfoud, Hamza;Himeur, Mohamed;Ziou, Hassina;Guenfoud, Mohamed
    • Structural Engineering and Mechanics
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    • v.68 no.4
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    • pp.385-398
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    • 2018
  • In the present paper, we offer a new flat shell finite element. It is the result of the combination of a membrane element and a bending element, both based on the strain-based formulation. It is known that $C^{\circ}$ plane membrane elements provide poor deflection and stress for problems where bending is dominant. In addition, they encounter continuity and compliance problems when they connect to C1 class plate elements. The reach of the present work is to surmount these problems when a membrane element is coupled with a thin plate element in order to construct a shell element. The membrane element used is a triangular element with four nodes, three nodes at the vertices of the triangle and the fourth one at its barycenter. Each node has three degrees of freedom, two translations and one rotation around the normal. The coefficients related to the degrees of freedom at the internal node are subsequently removed from the element stiffness matrix by using the static condensation technique. The interpolation functions of strain, displacements and stresses fields are developed from equilibrium conditions. The plate element used for the construction of the present shell element is a triangular four-node thin plate element based on Kirchhoff plate theory, the strain approach, the four fictitious node, the static condensation and the analytic integration. The shell element result of this combination is robust, competitive and efficient.

Lp error estimates and superconvergence for finite element approximations for nonlinear parabolic problems

  • LI, QIAN;DU, HONGWEI
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.67-77
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    • 2000
  • In this paper we consider finite element mathods for nonlinear parabolic problems defined in ${\Omega}{\subset}R^d$ ($d{\leq}4$). A new initial approximation is taken. Optimal order error estimates in $L_p$ for $2{\leq}p{\leq}{\infty}$ are established for arbitrary order finite element. One order superconvergence in $W^{1,p}$ for $2{\leq}q{\leq}{\infty}$ are demonstrated as well.

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NORAD TLE CONVERSION FROM OSCULATING ORBITAL ELEMENT

  • Lee, Byoung-Sun
    • Journal of Astronomy and Space Sciences
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    • v.19 no.4
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    • pp.395-402
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    • 2002
  • The NORAD type Two Line Element (TLE) was obtained from the osculating orbital elements by an iterative approximation procedure. The mathematical model was presented and computer program was developed for the conversion. The osculating orbital elements of the KOMPSAT-1 were converted into the NORAD TLE. Then the effect of the SGP4 atmospheric drag coefficient ($B^*$) was analyzed by comparison of the orbit propagation results with different $B^*$ values.

Static and Natural Vibration Analyses of Bending Problems Using 5-Node Equivalent Element (5절점 상당요소에 의한 굽힘문제의 정적해석 및 자유진동해석)

  • Gwon, Young-Doo;Yun, Tae-Hyeok;Jeong, Seung-Kap;Park, Hyeon-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.4
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    • pp.1320-1332
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    • 1996
  • In the present study, we consider modified 5-node equivalent solid element which has smallest degree of freedom among 2-dimensional solid elements accounting bending deformation as well as extensional and shear deformations, We shall investigate static and dynamic characteristics of this element, which is very effective in thin beam, thick beam, large displacement problems, beam of variable thickness, and asymmetrically stepped beam, etc., as well as relatively simple problems of beam. The degree of freedom of this element is 10, which is smaller than 18 of 9-node element, 16 of 8-node elemtns, 12 of modified 6-node element and Q6 element. Therefore, this element is expected to broaden the effective range of application of the solid elements in the bending problems further.

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

  • Shin, Sook;Park, In-Kook
    • Korean Journal of Microbiology
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    • v.31 no.3
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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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A LIST OF HEPATICAE COLLECTED IN THE CRATER OF MT. HANLA, WITH 6 NEW ADDITIONS TO THE KOREAN FLORA (말기녹종을 포함한 한나산화구벽의 태류)

  • Hong, Won-Shic;Kim, Byong-Tak
    • Journal of Plant Biology
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    • v.4 no.1
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    • pp.13-15
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    • 1961
  • 1. This study was made on the flora of Hepaticae in the crater of Mt. Hanla ($33^{\circ}$20' N. Lat. $126^{\circ}$4' E. Long), Isl. Quelpart. 2. the total fo the occurring species of the crater are twelve, out of which the following 6 species are new to the Korean flora. (1) Bazzania tricrenata (Wahlenb.) Trev. (2) Plagiochila satoi Hatt. (3) Scapania ampliata St. (4) Radula boryana (Web.) Nees. (5) Cololejeunea kodamae Kamimura. (6) C. macounii (Spruce) Evans. 3. The hepaticae flora of the crater consists of the following elements: Holarctic element. 4 species (33%), East Asiatic element. 2. species (16%), Korean-Japan element. 5. species (41%), North-Pacific element. 1 species (8%).

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Preconditioning Method of a Finite Element Combined Formulation for Fluid-Structure Interaction (유체-구조물 상호작용을 위한 유한요소 결합공식화의 예조건화에 대한 연구)

  • Choi, Hyoung-Gwon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.4
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    • pp.242-247
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    • 2009
  • AILU type preconditioners for a two-dimensional combined P2P1 finite element formulation of the interaction of rigid cylinder with incompressible fluid flow have been devised and tested by solving fluid-structure interaction (FSI) problems. The FSI code simulating the interaction of a rigid cylinder with an unsteady flow is based on P2P1 mixed finite element formulation coupled with combined formulation. Four different preconditioners were devised for the two-dimensional combined P2P1 finite element formulation extending the idea of Nam et al., which was proposed for the preconditioning of a P2P1 mixed finite element formulation of the incompressible Navier-Stokes equations. It was found that PC-III or PC-IV among them perform well with respect to computational memory and convergence rate for some bench-mark problems.

Analysis of Open Conical Shells with Stiffeners (보강재로 보강된 개방 원뿔형 쉘의 해석)

  • Park Weon-Tae;Choi Jae-Jin;Son Byung-Jik
    • Journal of the Korean Society of Safety
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    • v.19 no.4 s.68
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    • pp.101-108
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    • 2004
  • In this study, open conical shells with ring and stringers are analyzed A versatile 4-node shell element which is useful for the analysis of conical shell structures is used and 3-D beam element is used for stiffeners. An improved flat shell element is established by the combined use of the addition of non-conforming displacement modes and the substitute shear strain fields. The proposed element has six degrees of freedom per node and permits an easy connection to other types(beam element) of finite elements. Optimum location and optimum section properties of ring and stinger are obtained. It is shown thai the thickness of conical shell can be reduced about $20\~50\%$ by appropriate location of stiffeners.

Fuzzy finite element method for solving uncertain heat conduction problems

  • Chakraverty, S.;Nayak, S.
    • Coupled systems mechanics
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    • v.1 no.4
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    • pp.345-360
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    • 2012
  • In this article we have presented a unique representation for interval arithmetic. The traditional interval arithmetic is transformed into crisp by symbolic parameterization. Then the proposed interval arithmetic is extended for fuzzy numbers and this fuzzy arithmetic is used as a tool for uncertain finite element method. In general, the fuzzy finite element converts the governing differential equations into fuzzy algebraic equations. Fuzzy algebraic equations either give a fuzzy eigenvalue problem or a fuzzy system of linear equations. The proposed methods have been used to solve a test problem namely heat conduction problem along with fuzzy finite element method to see the efficacy and powerfulness of the methodology. As such a coupled set of fuzzy linear equations are obtained. These coupled fuzzy linear equations have been solved by two techniques such as by fuzzy iteration method and fuzzy eigenvalue method. Obtained results are compared and it has seen that the proposed methods are reliable and may be applicable to other heat conduction problems too.