• 대한전기학회논문지
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• 제35권11호
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• pp.479-486
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• 1986

It is necessary to consider a rotor movement in dynamic analysis on the flux distribution of electric machinery by FEM. Therefore, if air-gap domain was subdivided into triangular elements, computation results contain errors due to variation of element shape in air-gap because the nodal points corresponding to the rotor are displaced in analyzing domain for the time difference. In order to reduce this errors, the paper presents a application of a Macro Air-gap Element that interpolation function is obtained analytically and a means to join it with linear triangular elements in the rotating machine or in the linear machine. At the end of paper, setting up analytic domain model, it compares analytic solution with the computation results of Macro Air-gap Element appliction and that of linear triangular element subdivision only to each cases of nodal displacement. And it carries out that errors due to variation of element shape are reduced effectively by application of a Macro air-gap element.

• Structural Engineering and Mechanics
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• 제55권2호
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• pp.315-334
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• 2015

This study's primary aim is to check the existence of a representative volume element for granular materials and determine the link between the properties (responses) of macro structures and the size of the discrete particle assembly used to represent a constitutive relation in a two-scale model. In our two-scale method the boundary value problem on the macro level was solved using finite element method, based on the Cosserat continuum; the macro stresses and modulus were obtained using a solution of discrete particle assemblies at certain element integration points. Meanwhile, discrete particle assemblies were solved using discrete element method under boundary conditions provided by the macro deformation. Our investigations focused largely on the size effects of the discrete particle assembly and the radius of the particle on macro properties, such as deformation stiffness, bearing capacity and the residual strength of the granular structure. According to the numerical results, we suggest fitting formulas linking the values of different macro properties (responses) and size of discrete particle assemblies. In addition, this study also concerns the configuration and displacement fluctuation of discrete particle assemblies on the micro level, accompanied with the evolution of bearing capacity and deformation on the macro level.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2004년도 추계학술대회 논문집
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• pp.886-889
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• 2004

A simple macro triangle with drilling d.o.f.'s is proposed for plane stress problems based on IET(Individual element test) and finite element template. Three-node triangular element has geometrical advantages in preprocessing but suffers from bad performance comparing to other shapes of elements -especially quadrilateral. Main purpose of this study is to construct a high-performance linear triangular element with limited supplementary d.o.f.'s. A triangle is divided by three sub-triangles with drilling d.o.f.'s. The sub-triangle stiffness come from IET passing force-lumping matrix, so this assures the consistency of the element. The macro element strategy takes care of the element‘s stability and accuracy like higher-order stiffness in the F.E. template. The resulting element fits on the uses of conventional three-node. Benchmark examples show proposed element in closed form stiffness from CAS (Computer algebra system) gives the improved results without more computational efforts than others.

• 콘크리트학회지
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• 제11권1호
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• pp.77-87
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• 1999

일반적으로 프리스트레스트 콘크리트 박스거더교량의 설계에서는 단순화된 단면에 대하여 탄성이론에 근거하여 설계를 수행하고 있다. 이러한 단순화에 따른 제약조건을 개선하기 위해서 본 연구에서는 변단면의 프리스트레스트 콘크리트 박스거더교량을 해석하기 위한 매크로요소를 사용하였다. 해석프로그램에서 재료 비선형모델을 사용하여 극한하중 해석이 가능하도록 하였다. 또한, 교량의 장기거동을 예측하기 위해서 재료의 시간의존적 해석모델을 프로그램에 적용하여 교량의 장기 거동해석을 수행할 수 있게 하였다. 따라서, 재료비선형 모델과 시간의존 해석을 포함하는 비선형 매크로요소는 임의의 형상을 가진 프리스트레스트 박스거더 교량의 실제적인 거동해석에 유용하게 사용할 수 있을 것으로 사료된다.

• Geomechanics and Engineering
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• 제14권4호
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• pp.377-386
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• 2018

This paper focuses on the development of a new non-linear macro-element for the modelling of soil-foundation interaction. Material and geometrical nonlinearities (soil yielding and foundation uplift respectively) are taken into account in the present macro-element to examine the response of shallow foundations under monotonic and cyclic loads. Several applications of soil-foundation systems are studied. The results obtained from these applications are in very favourable agreement with those obtained through other numerical models in the literature.

• Earthquakes and Structures
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• 제25권3호
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• pp.177-186
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• 2023

Reinforced concrete frames with a masonry infill panel is a structural typology frequently used worldwide. In seismic cases, the interaction between the masonry infill and the RC frames constitutes one of the most complex subjects in earthquake engineering. In this work, an enhancement of an existing numerical model is proposed to improve the estimation of lateral strength and stiffness of masonry-infilled frame structures and predict their probable failure modes. The proposed improvement is based on attributing corrective coefficients to the shear strength of each diagonal shear spring of the macro element, which simulates the masonry infill. The improved numerical model is validated by comparing the results with those of the original numerical model and with experimental results available in the literature. The enhanced macro element model can be used as a powerful, accessible tool for assessing the capacity and stiffness of masonry-infilled frame structures and predicting their probable failure modes.

• 한국전산구조공학회논문집
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• 제21권4호
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• pp.347-355
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• 2008

본 연구에서는 수평하중을 받는 깊은 기초에서 나타나는 지반과 기초의 상호작용을 분석할 목적으로 전통적인 소성이론을 응용하여 개발한 단자유도의 매크로요소 모델을 제시하였다. 제시한 매크로요소 모델은 지반에 매립된 깊은 기초가 수평하중을 받을 때 지반과 기초사이에 발생하는 응력의 제 성분을 각각 모델링하고 합성함으로써 구성하였는데, 이는 기초와 지반의 상호작용을 단순 스프링으로 모델링하는 기존의 방법에 비해 상호작용에 관련한 응력을 성분별로 분리하여 제공하는 장점이 있다. 본 연구에서는 상호작용과 관련한 응력의 제 요소를 마찰력과 측압저항으로 크게 분류하고 각 요소를 소성이론을 이용하여 모델링하였으며, 최종적으로 이들을 병렬로 조합하는 방식으로 매크로요소를 구성하였다. 제시한 매크로요소를 이용하여 점성토에 매립한 깊은 기초가 수평하중을 받는 경우를 해석한 결과 기초의 전체적인 거동과 더불어 상호작용 매크로요소를 구성하는 각 요소들로부터 상호작용 음력의 제 요소들을 분석해 냄으로써 기존 모델에 비해 개선된 결과를 얻을 수 있었다.

• Structural Engineering and Mechanics
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• 제51권3호
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• pp.447-470
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• 2014

Numerical simulation of the non-linear behavior of (RC) structural walls subjected to severe earthquake ground motions requires a reliable modeling approach that includes important material characteristics and behavioral response features. The objective of this paper is to optimize a simplified method for the assessment of the seismic response and damage development analyses of an RC structural wall building using macro-element model. The first stage of this study investigates effectiveness and ability of the macro-element model in predicting the flexural nonlinear response of the specimen based on previous experimental test results conducted in UCLA. The sensitivity of the predicted wall responses to changes in model parameters is also assessed. The macro-element model is next used to examine the dynamic behavior of the structural wall building-all the way from elastic behavior to global instability, by applying an approximate Incremental Dynamic Analysis (IDA), based on Uncoupled Modal Response History Analysis (UMRHA), setting up nonlinear single degree of freedom systems. Finally, the identification of the global stiffness decrease as a function of a damage variable is carried out by means of this simplified methodology. Responses are compared at various locations on the structural wall by conducting static and dynamic pushover analyses for accurate estimation of seismic performance of the structure using macro-element model. Results obtained with the numerical model for rectangular wall cross sections compare favorably with experimental responses for flexural capacity, stiffness, and deformability. Overall, the model is qualified for safety assessment and design of earthquake resistant structures with structural walls.

• 한국지반공학회논문집
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• 제38권8호
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• pp.29-37
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• 2022

연직배수재로 개량된 지반의 배수거동을 해석하기 위해서는 3차원 해석이 필요한데, Macro-element법을 이용하면 2차원 평면변형 조건으로 연직배수재의 3차원 배수효과를 고려한 효과적인 해석이 가능하다. 본 연구에서는 지반개량에서 적용되는 진공압밀공법에 Macro-element법을 적용하여 새로운 유한요소해석 프로그램을 개발하였다. 기존의 Macro-element법은 배수재의 과잉간극수압을 0으로 하여 연직배수량을 산정하였으나, 본 연구에서 개발된 프로그램은 부(-)의 과잉간극수압을 실제 진공압밀 조건과 동일하게 고려할 수 있도록 개선하였다. 프로그램의 성능 검증을 위해 진공압밀공법 적용 현장의 계측치와 비교한 결과, 프로그램으로 예측한 결과와 현장 계측데이터는 동일한 침하거동을 나타내었다.

• 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.