• Title/Summary/Keyword: equilibrium matrix

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S-I model of horizontal jet grouting reinforcement for soft soil

  • Zhang, Ning;Li, Zhongyin;Ma, Qingsong;Ma, Tianchi;Niu, Xiaodong;Liu, Xixi;Feng, Tao
    • Geomechanics and Engineering
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    • 제15권5호
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    • pp.1029-1038
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    • 2018
  • A superposition-iteration (S-I) model is proposed to simulate the jet grouting pre-reinforcing impact for a shallow-buried tunnel. The common model is deduced by theoretical (force equilibrium) analysis and then transformed into the numerical formulation. After applying it to an actual engineering problem, the most obvious deficiency was found to be continuous error accumulation, even when the parameters change slightly. In order to address this problem, a superposition-iteration model is developed based on the basic assumption and superposition theory. First, the additional deflection between two successive excavation steps is determined. This is caused by the disappearance of the supporting force in the excavated zone and the soil pressure in the disturbed zone. Consequently, the final deflection can be obtained by repeatedly superposing the additional deflection to the initial deflection in the previous steps. The analytical solution is then determined with the boundary conditions. The superposition-iteration model is thus established. This model was then applied and found to be suitable for real-life engineering applications. During the calculation, the error induced by the ill-conditioned problem of the matrix is easily addressed. The precision of this model is greater compared to previous models. The sensitivity factors and their impact are determined through this superposition-iteration model.

토석류 유동해석을 위한 유한요소 수식화 (FEM Numerical Formulation for Debris Flow)

  • 신호성
    • 한국지반공학회논문집
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    • 제30권10호
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    • pp.55-65
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    • 2014
  • 최근 토석류의 이동 메커니즘에 대한 연구와 거동 예측을 위한 해석 프로그램의 개발이 활발히 진행중이다. 하지만, 토석류를 유체이동으로 간주하는 기존의 프로그램들은 수치적인 안정성과 모델링 그리고 다양한 경계조건의 적용에 대한 제약이 있다. 본 연구에서는 토석류의 유동현상에 대한 연속방정식과 힘평형 방정식에 대하여 깊이적분을 수행하였다. 토체의 두께 h, x와 y 흐름방향의 평균속도 $\bar{u}$, $\bar{v}$를 주변수로 채택하여 흐름이 없는 해석영역에 대한 수치적인 안정성을 확보하였다. DG기법에 의한 가중행렬을 산정하고 유동방향을 고려한 불연속 시험함수를 이용하여 Petrov-Galerkin 수식화를 수행하였다. 그리고 토석류의 유체 및 토립자의 특성을 동시에 고려할 수 있는 역학적 구성모델을 제시하였다. 단일경사 사면에서 사면경사, 토사 유발량, 저면 마찰 저항이 토석류 흐름특성에 미치는 영향을 비교 분석하였다. 그리고 수치해석을 통하여 사면 하부에 설치된 제방의 영향을 분석하였다. 개발된 해석프로그램을 활용하여 토석류 발생예상 지역의 다양한 위험인자에 대한 평가를 수행하고, 피해를 최소화하기 위한 시설물의 설계방안을 제안할 수 있을 것으로 판단된다.

Set Covering 이론을 이용한 시내버스 최적노선망 구축에 관한 연구 (A Study on the Optimal Urban Bus Network Design Using the Set Covering Theory)

  • 이승재;최재성;백혜선
    • 대한교통학회지
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    • 제17권2호
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    • pp.137-147
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    • 1999
  • 지금까지 시내버스 노선계획에 관한 대다수의 연구는 개별노선에 대한 지엽적인 분석을 바탕으로 하고 있으나 본 연구에서는 각 노선의 개별적 고려가 아닌 네트워크 차원의 최적화를 위한 노선계획 방법론을 제시하였다. 본 연구에서 제시하는 방법론은 계획가적 관점에서 버스이용자를 포함한 모든 통행자는 최단경로로 통행하기를 희망한다는 기본 전제하에 각 기종점의 최단경로로 구성된 대안 노선망을 도출하고 matrix 형태의 집합개념을 도입한 Set Covering 이론을 적용하여 노선공급수준을 축소하였다. 또한 노선축소과정에서 지금까지 부수적 통행요소로 인식되어온 환승을 활용하여 통행수요를 만족하는 최소규모의 노선망을 도출하였다. 본 연구는 고정수요를 가정하는 기존 연구와 달리 통행자 행태를 반영한 최적 노선망을 도출하기 위하여 시내버스 노선망 대안에 대한 가변수요를 구현하였다. 따라서 본 연구를 통하여 자가용이용자와 버스이용자로 구성된 전체 네트워크의 통행비용을 최소화하며 서비스 제공규모를 최소화하는 최적 시내버스 노선망을 도출하였다. 연구결과 기존연구와 비교하여 서비스 공급수준을 축소할 뿐 아니라 통행자의 행태를 고려한 해를 도출함으로써 현실성을 제고하였다.

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수정 횡변위장에 의한 강성과잉이 없는 직선 보 요소 (Locking-free Straight Beam Element by a Modified Transverse Displacement Field)

  • 이팔갑;신효철
    • 대한기계학회논문집
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    • 제16권12호
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    • pp.2287-2297
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    • 1992
  • 본 연구에서는 먼저 곡률요소에서와 같이 Timoshenko보를 기술하는 모든 변수 들을 평형방정식과 함께 고려할 때 각 변수들에 대한 새로운 해석이 가능함을 보이고 자 한다. 이는 횡변위장을 곡률로 수정함으로써 시작되는데 수정횡변위장을 사용할 경우, 보를 기술하는 모든 변수들이 Euler보의 그것들과 형태상으로 동일하게 나타나 며 수학적으로 볼 때 간결하면서도 새로운 접근 방법을 제시해 준다. 또한 이러한 수정횡변위장을 사용할 경우 순수변위에 기초하고 있는 전통적인 구조요소의 정식화과 정과 같은 과정을 거치게 되는 잇점이 있다. 한편, 직선 보요소의 정식화 과정에는 수정횡변위장의 형상함수로서 전통적인 Hermite 보 요소의 형상함수를 도입하였는데 이는 회전각의 장이 수정횡변위장의 미분치로 주어지기 때문이다.마지막 단계로서, 수정횡변위치가 포함된 절점에서의 변위벡터와 원횡변위치가 포함된 변위벡터 사이에 존재하는 변환행렬을 찾아 내었다.

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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    • 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.

Breakthrough Curves and Miscible Displacement of Cadmium Through Double-Layered Reclaimed Soils Amended with Macroporous Granule

  • Kim, Hye-Jin;Ryu, Jin-Hee;Kim, Si-Ju;Park, Mi-Suk;Chung, Doug-Young
    • 한국토양비료학회지
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    • 제44권1호
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    • pp.15-21
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    • 2011
  • Transport of heavy metals such as Cd is affected by several rate-limiting processes including adsorption and desorption by exchange reactions in soils. In this study, column transport and batch kinetic experiments were performed to assess Cd mobility in a double-layered soil with a reclaimed saline and sodic soil (SSS) as top soil and macroporous granule (MPG) as a bottom layer. For individual soil layer having different physical and chemical properties, Cd was considered to be nonlinear reactivity with the soil matrix in layered soils. The dispersive equation for reactive solutes was solved with three types of boundary conditions for the interface between soil layers. The adsorption of Cd with respect to the saline-sodic sandy loam and the MPG indicated that the nature of the sites or the mechanisms involved in the sorption process of Cd was different and the amounts of Cd for both of samples increases with increasing amounts of equilibrium concentration whereas the amount of Cd adsorbed in saline-sodic sandy loam soil was higher than that in MPG. The results of breakthrough curve indicating relative Cd retardation accompanied by layer material and sequence during leaching showed that the number of pore volumes to reach the maximum relative concentration of 1 increased in the order of MPG, SSS, and double layer of SSS-MPG. Breakthrough curves (BTCs) from column experiments were well predicted with our double-layered model where independently derived solute physical and retention parameters were implemented.

Possibility of Wound Dressing Using Poly(L-leucine)/poly(ethylene glycol)/poly(L-leucine) Triblock Copolymer

  • 김현정;조종수
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1997년도 추계학술대회
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    • pp.249-254
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    • 1997
  • ABA-type block copolymers composed of poly(L-leucine)(PLL) as the A component and poly(ethylene glycol)(PEG) as the B component were synthesized by ring-opening polymerization of L-leucine N-carboxyanhydride initiated by primary amino group located at both ends of PEG chain. A silver sulfadiazine(AgSD)-impregnated wound dressing of sponge-type was prepared by the lyophilization method. Morphological structure of this wound dressing obtained by scanning electron microscopy(SEM) was composed of a dense skin layer and a macroporous inner sponge layer. Equilibrium water content(EWC) of wound dressing was above 10%. It increased with an increased of PEO content in the block copolymer due to the hydrophilicity of PEO. AgSD release from AgSD- impregnated wound dressing in PBS buffer(pH=7.4) was dependent on PEG composition in the block copolymer. Therefore, EWC and release of AgSD can be control by PEG composition. Antibacterial capacity of AgSD-impregnated wound dressing was examined in agar plate against Pseudmonas aeruginosa and Stapplococus aruous. Cytotoxicity of the wound dressing was evaluated by studing mouse skin fibroblast(L929). From the behavior of antimicrobial releasing and the investigation of the suppression of bacterial proliferation, it was supposed that the wound dressing containing antibiotics could protect the wound surfaces from bacterial invasion to suppress the bacterial proliferation effectively. In cytotoxicity observation, cellular damage was reduced by the control led released of AgSD from the LEL sponge matrix of AgSD-medicated wound dressing. In vivo test, granulous tissue formation and wound contraction or the AgSD and DHEA impregnated wound dressing were aster than any other groups.

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외압을 받는 복합재 셸의 좌굴해석을 위한 실험 및 수치 해석 연구 (Study of numerical analysis and experiment for composite pressure hull on buckling pressure)

  • 정해영;조종래;배원병;권진회;최진호
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 추계학술대회 논문집
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    • pp.410-413
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    • 2005
  • The results of an experimental and analytical study of composite pressure hull on buckling pressure are presented for LRN 300. Composite tensile test was done to know the composite material properties applied FE analysis for URN composite. We predicted the buckling and post buckling analysis of composite laminated cylindrical panels under external compression by using ABAQUS /Standard[Ver 6.4]. To obtain nonlinear static equilibrium solutions for unstable problems, where the load-displacement response can exhibit the type of nonlinear buckling behavior, during periods of the response, the load and/or the displacement may decrease as the solution evolves, used the modified Riks method. The modified Riks method is an algorithm that allows effective solution of such cases [7]. Experiments were conducted to verify the validation of present analysis for cross-ply laminated shells. The shells considered in the study have two different lamination patterns, $[{\pm}45/0/90]_{18s\;and}\;[/0/90]_{18s}$. Cylindrical panel of experiment and analysis have the radius of 200mm, length of 210mm and 60 degree of cutting angle. The critical load from experiment is $69\%$ of that of numerical analysis, because the fracture of matrix was generated before buckling. So URN 300 is not proper to use at the condition under high external pressue.

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Riser의 내부유체 흐름이 소용돌이로 인한 Riser 동적반응에 미치는 영향 (The Effect of Internal Flow on Vortex-Induced Vibration of Marine Riser)

  • Hong, Nam-Seeg;Hsiang Wang
    • 한국해안해양공학회지
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    • 제7권2호
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    • pp.198-208
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    • 1995
  • Riser 내부의 유체흐름을 포함해서 동적해석을 하기 위해 유도된 비선형 모델의 근사화한 형태에 Iwan-Blevin의 모델을 결합함으로써 흐름-소용돌이 모델이 개발되며 개발된 수학약모델을 해석함으로써 면내 조류흐름에 따라 형성된 면외 과류로 인한 riser의 진동에 내부 유체흐름이 미치는 영향에 관해 조사하였다. Riser 내부 유체흐름은 일정한 유속분석을 가진 정상류로 가정하며 riser관은 신축성 혹은 비신축성 관상빔으로 간주된다. 유도된 모델에 Galerkin의 유한요소근이법을 적용함으로써 수치해석을 위한 모델을 개발하였다. 관내부 유체 흐름이 riser의 소용돌이로 인한 진동특성에 미치는 영향을 상부 인장력, 내부류체 흐름 혹은 조류속도 등과 같은 여러 영향요인 등을 변화시키면서 조사하였다. 수치해석 결과 내부유체 흐름으로 인한 영향을 줄이기 위하여 riser의 상부에 인장력을 riser의 허용내력 한도내에서 증가시키는 방법이 있으나 vortex shedding으로 인해 형성되는 resonance band를 피하기 위해 설계 관점에서 세심한 주의가 요구된다. 특히 길이가 긴 rise에 대한 세심한 주의가 요구된다.

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Salient Object Detection via Multiple Random Walks

  • Zhai, Jiyou;Zhou, Jingbo;Ren, Yongfeng;Wang, Zhijian
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권4호
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    • pp.1712-1731
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    • 2016
  • In this paper, we propose a novel saliency detection framework via multiple random walks (MRW) which simulate multiple agents on a graph simultaneously. In the MRW system, two agents, which represent the seeds of background and foreground, traverse the graph according to a transition matrix, and interact with each other to achieve a state of equilibrium. The proposed algorithm is divided into three steps. First, an initial segmentation is performed to partition an input image into homogeneous regions (i.e., superpixels) for saliency computation. Based on the regions of image, we construct a graph that the nodes correspond to the superpixels in the image, and the edges between neighboring nodes represent the similarities of the corresponding superpixels. Second, to generate the seeds of background, we first filter out one of the four boundaries that most unlikely belong to the background. The superpixels on each of the three remaining sides of the image will be labeled as the seeds of background. To generate the seeds of foreground, we utilize the center prior that foreground objects tend to appear near the image center. In last step, the seeds of foreground and background are treated as two different agents in multiple random walkers to complete the process of salient object detection. Experimental results on three benchmark databases demonstrate the proposed method performs well when it against the state-of-the-art methods in terms of accuracy and robustness.