• 제목/요약/키워드: stable element

검색결과 612건 처리시간 0.023초

Modelling of strains in reinforced concrete flexural members using alpha-stable distribution

  • Rao, K. Balaji;Anoop, M.B.;Kesavan, K.;Balasubramanian, S.R.;Ravisankar, K.;Iyer, Nagesh R.
    • Computers and Concrete
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    • 제11권5호
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    • pp.411-440
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    • 2013
  • Large fluctuations in surface strain at the level of steel are expected in reinforced concrete flexural members at a given stage of loading due to the emergent structure (emergence of new crack patterns). This has been identified in developing deterministic constitutive models for finite element applications in Ibrahimbegovic et al. (2010). The aim of this paper is to identify a suitable probability distribution for describing the large deviations at far from equilibrium points due to emergent structures, based on phenomenological, thermodynamic and statistical considerations. Motivated by the investigations reported by Prigogine (1978) and Rubi (2008), distributions with heavy tails (namely, alpha-stable distributions) are proposed for modeling the variations in strain in reinforced concrete flexural members to account for the large fluctuations. The applicability of alpha-stable distributions at or in the neighborhood of far from equilibrium points is examined based on the results obtained from carefully planned experimental investigations, on seven reinforced concrete flexural members. It is found that alpha-stable distribution performs better than normal distribution for modeling the observed surface strains in reinforced concrete flexural members at these points.

지르코니아 및 티타늄 고정체 소재가 지대주 나사의 응력 분포에 미치는 영향: 3차원 유한 요소 분석 (Influence of zirconia and titanium fixture materials on stress distribution in abutment screws: a three-dimensional finite element analysis)

  • 김은영;홍민호
    • 대한치과기공학회지
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    • 제43권2호
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    • pp.42-47
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    • 2021
  • Purpose: The purpose of this study was to evaluate the stability of abutment screws used with the zirconia fixture-based implant system and compare them with those used with the existing titanium fixture system via the finite element method. Methods: A single implant-supported restoration was designed for the finite element analysis. A universal analysis program was used to set 8 occlusal points along the direction to the long axis of the implant, and an occlusal load of 700 N was applied. Results: In all models (Zir and Ti-fixture model), the screw threads presented with the highest von Mises stress (VMS) values, whereas the head and end presented with the lowest VMS values. The VMS of the screw used in the zirconia-fixture model was 5.97% lower than that used in the titanium-fixture model (261.258 vs. 276.911 MPa, respectively) despite statistical significance. Furthermore, the zirconia fixture (352.912 MPa) had a higher stress value (8.42%) than the titanium fixture (332.331 MPa). In a completely tightened titanium fixture implant system, the stress was concentrated in the implant-abutment connection interface, the zirconia fixture presented with a stable stress distribution. Conclusion: Although the zirconia fixture demonstrated a high VMS value, owing to the stiffness and elasticity coefficients of the material, the stress generated in the abutment screws was similar in all models. In conclusion, the zirconia fixture-based implant system presented with a more stable stress distribution in the abutment screws than the titanium fixture-based implant system.

시간지연을 갖는 제어대상에 대한 P, PI 제어의 유효 게인 조정 범위에 관한 연구 (A Study for the Available Adjustment Range of Gain at P, PI Control for the Retarded Processes)

  • 강인철;최순만;최재성
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2001년도 춘계학술대회 논문집
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    • pp.207-212
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    • 2001
  • In this paper, a method to be able to decide the possible maximum gain of P, PI control for the retarded processes under stable condition is proposed. At first, adjustable parameter set causing stability limit are obtained based on the frequency domain condition which makes the roots of transfer function locate on the $j\omega$ axis. And the cut-in frequency $\omega{_p}$ to bring the parameter set to P control from PI control is derived by an equation with 2 parameters L and $T_m$ given, then $\omega{_p}$ is used to compute the maximum gain with stable condition. For the calculation, the controlled process of first order system with time delay element is introduced and all parameters are presumed to be time invariant.

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3D finite element modelling of composite connection of RCS frame subjected to cyclic loading

  • Asl, Mohammad Hossein Habashizadeh;Chenaglou, Mohammad Reza;Abedi, Karim;Afshin, Hassan
    • Steel and Composite Structures
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    • 제15권3호
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    • pp.281-298
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    • 2013
  • Composite special moment frame is one of the systems that are utilized in areas with low to high seismicity to deal with earthquake forces. Composite moment frames are composed of reinforced concrete columns (RC) and steel beams (S); therefore, the connection region is a combination of steel and concrete materials. In current study, a three dimensional finite element model of composite connections is developed. These connections are used in special composite moment frame, between reinforced concrete columns and steel beams (RCS). Finite element model is discussed as a most reliable and low cost method versus experimental procedures. Based on a tested connection model by Cheng and Chen (2005), the finite element model has been developed under cyclic loading and is verified with experimental results. A good agreement between finite element model and experimental results was observed. The connection configuration contains Face Bearing Plates (FBPs), Steel Band Plates (SBPs) enveloping around the RC column just above and below the steel beam. Longitudinal column bars pass through the connection with square ties around them. The finite element model represented a stable response up to the first cycles equal to 4.0% drift, with moderately pinched hysteresis loops and then showed a significant buckling in upper flange of beam, as the in test model.

T-스티프너 보강 CFT 기둥 - H형강보 실대형 접합부의 거동 (Behavior of CFT Column to H-Beam Full-Scale Connections with External T-Stiffeners)

  • 김영주;강창훈;신경재;오영석;문태섭
    • 한국강구조학회 논문집
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    • 제13권6호
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    • pp.715-723
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    • 2001
  • 이 논문은 T-스티프너보강된 GFT기둥-H형강보 실대형 접합부의 거동을 나타낸다. 수직요소와 수평요소로 구성된 6개 실험체의 T-스트프너는 보의 전소성모멘트에 대한 강도비를 주요변수로 하여 제작되었다. 실험을 통하여 얻은 주요 내용은 강도, 강성과 소성회전능력이다. 모든 실험체는 대체로 안정된 이력거동을 나타내었으며, 특히 수평요소는 수직요소보다 강도와 강성에 더욱더 큰 영향을 준다. 보의 소성회전성능에 있어서, 조기에 파단한 TS-2를 제외한 실험체들의 평균 보소성회전각은 2.97% rad.이다.

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Symmerge 알고리즘의 복잡도 (Complexity of the Symmerge Algorithm)

  • 김복선
    • 한국지능시스템학회논문지
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    • 제18권2호
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    • pp.272-277
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    • 2008
  • [ $m{\leq}n$ ]을 만족하는 m과 n을 두 입력수열이라고 했을 때 Symmerge는 비교횟수와 관련해 복잡도 $O(m{\log}{\frac{n}{m}})$를 필요로 하는 stable minimum storage 머징 알고리즘이다. 그러므로 비교횟수와 관련된 머징의 점근적 하계 ${\Omega}(m{\log}{\frac{n}{m}})$에 의해 Symmerge 알고리즘은 최적 알고리즘에 해당함을 알 수 있다. Symmerge는 두 입력수열의 분할 (partition)과 로테이션 (rotation)을 통해 얻어지는 수열들에 알고리즘의 재귀적 콜 (recursive call)이 적용되는 divide 와 conquer 기술을 이용한다. 이로 인해 수열들이 반복해서 분할과 로테이션 되는데 특히 재귀의 깊이가 m-1 가 되는 경우에 있어서 두 입력수열의 길이의 관계를 알아보고자 한다.

Investigation of allowable time-step sizes for generalized finite element analysis of the transient heat equation

  • O'Hara, P.;Duarte, C.A.;Eason, T.
    • Interaction and multiscale mechanics
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    • 제3권3호
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    • pp.235-255
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    • 2010
  • This paper investigates the heat equation for domains subjected to an internal source with a sharp spatial gradient. The solution is first approximated using linear finite elements, and sufficiently small time-step sizes to yield stable simulations. The main area of interest is then in the ability to approximate the solution using Generalized Finite Elements, and again explore the time-step limitations required for stable simulations. Both high order elements, as well as elements with special enrichments are used to generate solutions. When compared to linear finite elements, the high order elements deliver better accuracy at a given level of mesh refinement, but do not offer an increase in critical time-step size. When special enrichment functions are used, the solution can be approximated accurately on very coarse meshes, while yielding solutions which are both accurate and computationally efficient. The major conclusion of interest is that the significantly larger element size yields larger allowable time-step sizes while still maintaining stability of the time-stepping algorithm.

Assessment of Organic Matter Sources in the Singil Stream Flowing into Lake Shihwa, South Korea

  • Kim, Dahae;Kim, Jung-Hyun;Kang, Sujin;Kim, Min-Seob;Shin, Kyung-Hoon
    • 생태와환경
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    • 제53권2호
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    • pp.138-147
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    • 2020
  • The Singil Stream, flowing into an artificial lake, Lake Shihwa (South Korea), experiences a strong anthropogenic pressure with continuous organic matter (OM) inputs from rural, urban, and industrial areas. In this study, we investigated suspended particulate matter (SPM) and streambed sediments collected along the Singil Stream in 2014 and 2016, by applying a dual element approach (δ13C and δ15N) to identify OM sources. The SPM and streambed sediment samples from the indusrial area showed higher organic carbon and nitrogen concentrations (or contents) than those from the other areas, with distinctively lower δ15N values. Accordingly, our dual element approach indicates that the industrial area was the predominant OM source influencing OM quality and thus water quality of the Singil Stream flowing into Lake Shihwa during the study periods. However, further studies are necessary to better constrain OM sources in the Singil Stream since OM sources from the industrial area appear to be complex.

三次元 境界要素法 BEAP3D에 의한 採掘空洞 安定性 評價 (Stability Analysis for Mine Openings by a Three Dimensional Boundary Element Method-BEAP3D)

  • 정소걸;김임호;조영도
    • 터널과지하공간
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    • 제8권2호
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    • pp.118-129
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    • 1998
  • A three dimensional boundary element method-BEAP3D was applied to the stability analysis of the mine openings not only to improve the stability during mining operations but also to serve the evaluation of the mine openings for further utilization. Stability analysis on the stability of the room-and-pillar stopes underneath of the old mine openings and the openings to be created by the newly proposed sublevel stoping method at the Nowhado Pyrophyllite Mine, showed that rock mass around the old and new stopes would be stable. Six stopes of a sublevel stoping designed for the Choongmu Limestone Quarry would be stable, too. A sublevel stoping method consisting of six stopes was similarly suggested for the Keumpyung Quartzite Mine. The stability can be guaranteed through out six stopes. Since mining starts from the bottom 1st sublevel to the uppermost sublevel, the safety of the stopes will improve together with the mining process. It would highly be recommended to investigate in-situ rock properties and the rock stresses for future studies. Even though the rock around the uppermost part and bottom of all the stopes have a very high factor of safety, spot reinforcements such as rock bolting would be recommended to mitigate the intermediate and minor principal stresses acting in a tensile mode.

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계층적 반복법을 이용한 비압축성 유동계산 (An Incompressible Flow Computation using a Hierarchical Iterative Method)

  • 김진환;정창률
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2004년도 학술대회지
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    • pp.216-221
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    • 2004
  • In two dimensional incompressible flaws, a preconditioning technique called Hierarchical Iterative Procedure(HIP) has been implemented on a SUPG finite element formulation. By using the SUPG formulation, one can escape from the LBB constraint and hence achieve an equal order formulation. In this paper, we increased the order of interpolation up to cubic. The conjugate gradient squared(CGS) method is used for the outer iteration, and the HIP for the preconditioning for the incompressible Navier-Stokes equation. The hierarchical elements has been used to achieve a higher order accuracy in fluid flaw analyses, but a proper efficient iterative procedure for higher order finite element formulation has not been available so far. The numerical results by the present HIP for the lid driven cavity flaw showed the present procedure to be stable, very efficient and useful in flaw analyses in conjunction with hierarchical elements.

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