• Structural Engineering and Mechanics
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• 제68권4호
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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.

• 대한기계학회논문집
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• 제17권10호
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• pp.2535-2542
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• 1993

Two-noded curved beam elements, CMLC (field-consistent membrane and linear curvature) and IMLC(field-inconsistent membrane and linear curvature) are developed on the basis of Timoshenko's beam theory and curvilinear coordinate. The curved beam element is developed by the separation of the radial deflection into the bending deflection. In the CMLC element, field-consistent axial strain interpolation is adapted for removing the membrane locking. The CMLC element shows the rapid and stable convergence on the wide range of curved beam radius to thickness. The field-consistent axial strain and the separation of radial deformation produces the most efficient linear element possible.

• 한국강구조학회 논문집
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• 제22권1호
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• pp.33-42
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• 2010

막구조의 설계에서 막재료의 효율적인 사용을 위해서는 측지선에 의한 재단도 해석을 수행해야 한다. 막구조의 측지선 결정방법은 크게 측지요소(geodesic element)를 이용한 비선형 형상해석에 의한 방법과 임의의 곡면 형상에 대한 측지선 탐색에 의한 방법으로 나눌 수 있는데, 현재까지 이 두 가지 해석법은 모두 3절점요소에 대한 적용알고리즘 만이 제시되었고, 4절점 요소에 대한 해석법은 제시되지 않았다. 이는 막구조의 설계에서 4절점 요소의 적용을 어렵게 하는 가장 큰 요인이라고 할 수 있다. 본 연구에서는 3절점, 4절점 평면요소에 동시에 적용 가능한 측지선 결정알고리즘을 제시한다. 이를 위해 저자의 이전 연구를 발전시켜 명시적 비선형 해석법인 동적이완법을 비선형 측지선 형상해석에 적용하였다. 또한 3절점요소 뿐만 아니라 4절점요소에 대해서도 측지요소의 도입에 의한 형상해석이 가능하도록 하였으며, 4절점요소와 측지선요소에 의한 비선형 형상해석 및 재단도 해석예제를 통하여 본 연구에서 제시한 알고리즘의 정확성 및 효율성을 검증하였다. 따라서 본 연구에서 제안한 측지선 형상해석알고리즘은 형상해석, 응력해석, 재단도 해석과 관련된 일련의 해석과정에 대한 4절점요소의 적용성을 높일 수 있을 것으로 사료된다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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• pp.27-34
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• 1998

A versatile flat shell element has been developed by combining a membrane element with drilling degree-of-freedom and a plate bending element. This element is formulated by the enhanced displacement field with the additional non-conforming displacement modes. Thus the element possesses six degrees-of-freedom (DOF) per node which permits an easy connection to other six DOF elements as well as the improvement of the element behavior. In plate bending part, this element is established by the combined use of the addition of non-conforming modes, the reduced (or selective) integration scheme, and the construction of the substitute shear strain fields. The achieved improvement may be attributable to the fact that the merits of these individual techniques are merged into the new element in a complementary manner. In membrane part, this element shows better membrane behavior as the nonconforming displacement mode is added to drilling mode.

• 한국전산구조공학회논문집
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• 제13권4호
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• pp.449-459
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• 2000

기존의 Mindlin이론을 바탕으로 한 감절점 쉘 요소는 두께가 두꺼운 쉘 구조를 해석할 경우 매우 좋은 결과가 얻어지는 것으로 알려져 있다. 그러나 두께가 얇은 쉘의 경우 전단구속 및 막구속 현상으로 인해 요소의 강성이 과대하게 평가되는 것으로 나타났다. 이러한 문제를 해결하기 위해 본 연구에서는 서로 다른 두 가지 막 및 전단 구속 해결방법을 조합하여 쉘 요소에 적용하였다. 첫 번째 요소는 전단 변형률에 가정된 전단변형률을 적용하였고, 막 변형률에는 감차적분법을 적용하였다. 두 번째 요소의 경우, 막 변형률과 전단 변형률 모두에 가정된 전단 변형률을 적용하여 쉘 구조해석을 수행하였다. 여러 가지 수치 해석을 수행한 결과, 두 가지 쉘 요소가 빠른 수렴성을 가지고 있는 것으로 나타났으며, 막 구속과 전단 구속 현상이 제거된 것을 나타났다.

• Computers and Concrete
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• 제1권3호
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• pp.325-354
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• 2004

Slabs in buildings and bridge decks, which are restrained against lateral displacements at the edges, have ultimate strengths far in excess of those predicted by analytical methods based on yield line theory. The increase in strength has been attributed to membrane action, which is due to the in-plane forces developed at the supports. The benefits of compressive membrane action are usually not taken into account in currently available design methods developed based on plastic flow theories assuming concrete to be a rigid-plastic material. By extending the existing knowledge of compressive membrane action, it is possible to design slabs in building and bridge structures economically with less than normal reinforcement. Recent research on building and bridge structures reflects the importance of membrane action in design. This paper describes the finite element modelling of membrane action in reinforced concrete slabs through optimisation of a simple concrete model. Through a series of parametric studies using the simple concrete model in the finite element simulation of eight fully clamped concrete slabs with significant membrane action, a set of fixed numerical model parameter values is identified and computational conditions established, which would guarantee reliable strength prediction of arbitrary slabs. The reliability of the identified values to simulate membrane action (for prediction purposes) is further verified by the direct simulation of 42 other slabs, which gave an average value of 0.9698 for the ratio of experimental to predicted strengths and a standard deviation of 0.117. A 'deflection factor' is also established for the slabs, relating the predicted peak deflection to experimental values, which, (for the same level of fixity at the supports), can be used for accurate displacement determination. The proposed optimised concrete model and finite element procedure can be used as a tool to simulate membrane action in slabs in building and bridge structures having variable support and loading conditions including fire. Other practical applications of the developed finite element procedure and design process are also discussed.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2005년도 춘계학술대회 논문집
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• pp.229-232
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• 2005

This paper presents the design and fabrication of backflow prevented Micropump using the metal membrane. The Micropump is consisted of the lower plate, metal membrane, upper plate and the piezoelectric-element. The lower plate includes the micro channel and the inlet, outlet of the Micropump. The upper plate includes the micro channel and connects the piezoelectric-element. These plate are fabricated on the Pyrex glass wafer by sandblasting process. The metal membrane does roll of check valve that is prevented backflow of the Micropump. The metal membrane is fabricated on the stainless steel by laser machining. Piezoelectric-element is actuated the Micropump and controlled flowing of fluid. The Micropump is fabricated by bonding process of these multi-layer.

• Structural Engineering and Mechanics
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• 제14권6호
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• pp.699-712
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• 2002

In this paper, a new quadrilateral 5-node non-conforming membrane element with drilling degrees of freedom is presented. The main advantage of these elements is the relatively small number of integration points to evaluate a stiffness matrix comparing to the existing transition membrane elements (CLM elements). Moreover, the presented elements pass the patch test by virtue of the Direct Modification Method incorporated into the element formulation. The presented 5-node elements are proved to be very efficient when used in the local mesh refinement for the in-plane structures which have stress concentrations. And some numerical studies also show the good performance of the new element developed in this study.

• 한국막학회:학술대회논문집
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• 한국막학회 1999년도 Energy Saving Membrane Separtion Systems 에너지 절약형 막분리 시스템
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• pp.93-116
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• 1999

MF membrane element was specially designed for water purification and VSA process which can solve the fouling problem. Especially VSA process is developed for the SK Chemicals' asymmetric microfiltration hollow fiber membranes. In case of outside-to-in filtration process, MF membrane element showed the excellent flux stability caused by cleaning ability of VSA process . Simultaneous back-washing with VSA consideratbly enhances cleaning efficiency. From the result the possibility of the replacement of chemical coagulation and sand filtration process with newly developed VSA process was revealed.

• 한국막학회:학술대회논문집
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• 한국막학회 1999년도 The 7th Summer Workshop of the Membrane Society of Korea
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• pp.63-66
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• 1999

MF membrane element was specially designed for water purification and VSA process which can solve the fouling problem. Especially VSA process is developed for the SK Chemical's asymmetric microfiltration hollow fiber membranes. In case of outside-to-in filtration process, MF membrane element showed the excellent flux stability caused by cleaning ability of VSA process. Simultaneous back- washing with VSA considerably enhances cleaning efficiency. Form the result, the possibility of the replacement of chemical coagulation and sand filtration process with newly developed VSA process was revealed.