• 제목/요약/키워드: functional element

검색결과 642건 처리시간 0.025초

접촉문제에서의 변분부등식의 유한요소해석과 A Priori 오차계산법 (A Solution of Variational Inequalities and A Priori Error Estimations in Contact Problems with Finite Element Method)

  • 이춘열
    • 대한기계학회논문집A
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    • 제20권9호
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    • pp.2887-2893
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    • 1996
  • Governing equations infrictional contact problems are introduced using variational inequality formulations which are regularized to overcome the diffculties of non-differentiability of the friction functional. Also finite element approximations and a priori error estimations are derived based on those formulations. Numerical simulations are performed illustrating the theoretical results.

A HYBRID TREFFTZ FLAT SHELL ELEMENT

  • Choo, Yeon-Seok;Choi, Noo-Ri;Lee, Byung-Chai
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.402-407
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    • 2008
  • We suggest a linear elastic flat shell element based on the HT(hybrid Trefftz) method. We formulate the membrane part of the proposed element as an HT plane element with the drilling DOF. For the bending part, we developed a thick HT plate element that can represent transverse shear deformations accurately. Because we derive both the membrane and the bending parts consistently using the HT functional, we can easily construct the triangular and the quadrilateral elements in a unified way. In addition, warping of quadrilateral element is compensated by force and moment equilibrium equations. We evaluate the performance of the new element in terms of accuracy and convergence.

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척추의 유한 요소 해석을 위한 강성 행렬 요소의 적용 (Application of Stiffness Matrix Element for Finite Element Analysis of Spine)

  • 정일섭;안면환
    • 한국정밀공학회지
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    • 제20권10호
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    • pp.226-232
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    • 2003
  • Difficulties in the finite element modeling of human spine are evaded by using a stiffness matrix element whose properties can be characterized from experimentally measured stiffness of functional spinal units. Relative easiness is in that inter-vertebral discs, ligaments, and soft tissues connecting vertebrae do not need to be modeled as they are. The remarkable coupling effect between distinct degrees of freedom induced by the geometric complexity can be accommodated without much effort. An idealized block model with simple geometry for vertebra is employed to assess the feasibility of this method. Analyses are performed in both levels of motion segment and spinal column, and the result is compared with that from detail model. As far as the global behavior of spine is concerned, the simplification is found not to aggravate inaccuracy only if sufficient experimental data is provided and interpreted properly.

Spline/NURBS 자유곡면과 쉘 해석의 연동 (The Linkage between Spline/NURBS Free Surface and Shell Finite Element Analysis)

  • 노희열;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.303-310
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    • 2001
  • We propose the framework which directly links shell finite element to the free form surface geometric modeling. For the development of a robust shell element, a first order shear deformable shell theory and partial mixed variational functional are provided. Bubble functions are included in the shape function of displacement to improve the performance of the developed element. The Spline/NURBS is used to generate the general free form of parameterized shell surfaces. The proposed shell finite element model linked with NURBS surface representation provides efficiency for design and analysis. Numerical examples are given in order to assess the accuracy of the performances of the proposed element.

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Nonlinear finite element vibration analysis of functionally graded nanocomposite spherical shells reinforced with graphene platelets

  • Xiaojun Wu
    • Advances in nano research
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    • 제15권2호
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    • pp.141-153
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    • 2023
  • The main objective of this paper is to develop the finite element study on the nonlinear free vibration of functionally graded nanocomposite spherical shells reinforced with graphene platelets under the first-order shear deformation shell theory and von Kármán nonlinear kinematic relations. The governing equations are presented by introducing the full asymmetric nonlinear strain-displacement relations followed by the constitutive relations and energy functional. The extended Halpin-Tsai model is utilized to specify the overall Young's modulus of the nanocomposite. Then, the finite element formulation is derived and the quadrilateral 8-node shell element is implemented for finite element discretization. The nonlinear sets of dynamic equations are solved by the use of the harmonic balance technique and iterative method to find the nonlinear frequency response. Several numerical examples are represented to highlight the impact of involved factors on the large-amplitude vibration responses of nanocomposite spherical shells. One of the main findings is that for some geometrical and material parameters, the fundamental vibrational mode shape is asymmetric and the axisymmetric formulation cannot be appropriately employed to model the nonlinear dynamic behavior of nanocomposite spherical shells.

패션과 건축에 표현된 기능주의적 미니멀리즘 비교 (Comparison of the Functional Minimalism in Fashion and Architecture)

  • 박선지;임은혁
    • 한국의류학회지
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    • 제37권3호
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    • pp.247-259
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    • 2013
  • This study conceptually approaches and clearly compares the similarities and differences of fashion and architecture through a focus on their correlations. This study identifies the conceptual definitions of functional minimalism by an examination of function that represents the largest similarity between architecture and fashion. This study classifies the nature of functional minimalism and studies cases for each architectural classification in the areas of: the simplicity of a structure, unitarity pursuit of economic value, repeatability in an efficiency unit, reducibility stressing property, and multi-functional spatiality. The characteristics of functional minimalism fashion are distinguish as: simplicity in a structure that highlight structural lines in non-decorated design, unitarity pursuit of economic value represented in united process and pattern for its economic effect, repeatability in an efficiency unit represented through the repeated decoration of a functional unit, reducibility stressing a property that emphasizes property with a dominant design element through a highlight of the characteristics of materials and multi-functional spatiality that represents variability in clothes through an expansion of limited spatial function. This study approaches each discipline with a clear understanding of the differences between the two and suggests standards for a comparative study of architecture and fashion.

1-Aza-18-Crown-6를 이용한 우라늄(VI) 이온 흡착제 수지 합성 (Resin Synthesis of Adsorbent Uranium(VI) Ion using 1-Aza-18-Crown-6)

  • 김선화;김해진
    • 환경위생공학
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    • 제21권4호
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    • pp.49-60
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    • 2006
  • The ion exchange resins have been synthesized from chlormethyl styrene - 1,4 - divinylbenzene(DVB) with 1%, 2%, 4% and 8%-crosslinking and 1-aza-18-crown-6 macrocyclic ligand by copolymerization method. Content of chlorine in styrene-DVB copolymer was decreased as crosslink increased and it is because as crosslink increased 1%, 2%, 4% and 8% DVB content increased and crosslink density increased and cavity was reduced. Functional group of resin almost disappeared as C-C1 peak around $700cm^{-1}$ was substituted with 1-aza-18-C-6 macrocyclic ligand and new peak of C-N around $1020cm^{-1}$ appeared, so it was confirmed that styrene-DVB copolymer and ligand were compounded. As crosslink increased in the analysis of element contents, it resulted in the reduction of nitrogen content and it is because as crosslink increased, it led to the reduction of chlorine content in the process of substitution reaction and it affected macrocyclic ligand substituted. Thermo analysis curve of functional synthetic resin decomposed three part of 1-aza-18-C-6, styrene, and DVB. Form of functional synthetic resin showed distortion of its particles as macrocyclic ligand was introduced to styrene-DVB copolymer and hydrogen of ligand caused substitution with chlorine element of styrene molecule.

쾌속조형 시작품의 적층방향별 물성평가 및 이방성을 고려한 유한요소해석 (Investigation into Directional Properties of Rapid Prototypes and Its Application to FE Analysis Considering Anisotropy)

  • 박근;김영수;박도윤
    • 한국정밀공학회지
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    • 제25권11호
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    • pp.126-133
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    • 2008
  • Rapid Prototyping (RP) has been widely used for rapid development of prototypes in various industrial fields. In recent years, a new requirement in RP industry has issued so as to directly manufacture a functional prototype which has enough mechanical properties to be used as a functional part. The RP prototype, however, has a limitation in mechanical properties due to its layer-by-layer manufacturing process. This manufacturing process results in anisotropy of the prototype, especially showing weakness in the building direction. In the present work, we performed tensile tests for RP prototypes in order to determine directional mechanical properties. The test specimens were made by using $Eden330^{TM}$ by Object Geometries Ltd. Finite element analyses considering material anisotropy were then carried out for RP prototypes with various building directions. Effect of the building direction on the mechanical strength was investigated through the analysis, and compared with experimental results.

섬진강유역 장시의 공간구성과 기능 특성에 관한 연구 -순창·곡성·구례·옥곡장시를 중심으로- (Spatial Construction and Functional Characteristics of Market Place in Seomjin River -Focused on Gokseong, Gurye, Soonchang, Okgok Market Place-)

  • 박중신;김태영
    • 한국농촌건축학회논문집
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    • 제12권1호
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    • pp.17-24
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    • 2010
  • This paper aims to clarify the spatial form and functional characteries of traditional market place in Seomjin river. The objects of this study are Gokseong, Gurye, Soonchang, and Okgok market place. The results are as follows. First, the form of the traditional market that it was open focusing on large open space of a village was maintained until now. Second, the spatial form of a market place surrounds market-shop located at the center of a market, and a permanent market-store is located in a line. Spatial element important for constituting a market place is three, market-shop, stall, and the mall of market place, and each spatial element is functioning in linkage. The unit space of market-shop is mainly determined by between pillars, and a store is opened. And the same type of industry adjoins, and market-shop's forms a fixed domain and is distributed. The stall is located with many kinds and forms at street mall, and it is taking charge of the important function of trade.

Free vibration and static analyses of metal-ceramic FG beams via high-order variational MFEM

  • Madenci, Emrah
    • Steel and Composite Structures
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    • 제39권5호
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    • pp.493-509
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    • 2021
  • There is not enough mixed finite element method (MFEM) model developed for static and dynamic analysis of functionally graded material (FGM) beams in the literature. The main purpose of this study is to develop a reliable and efficient computational modeling using an efficient functional in MFEM for free vibration and static analysis of FGM composite beams subject to high order shear deformation effects. The modeling of material properties was performed using mixture rule and Mori-Tanaka scheme which are more realistic determination techniques. This method based on the assumption that a two phase composite material consisting of matrix reinforced by spherical particles, randomly distributed in the beam. To explain the displacement components of the shear deformation effects, it was accepted that the shear deformation effects change sinusoidal. Partial differential field equations were obtained with the help of variational methods and then these equations were transformed into a novel functional for FGM beams with the help of Gateaux differential derivative operator. Thanks to the Gateaux differential method, the compatibility of the field equations was checked, and the field equations and boundary conditions were reflected to the function. A MFEM model was developed with a total of 10 degrees of freedom to apply the obtained functional. In the numerical applications section, free vibration and flexure problems solutions of FGM composite beams were compared with those predicted by other theories to show the effects of shear deformation, thickness changing and boundary conditions.