• 제목/요약/키워드: local linear method

검색결과 421건 처리시간 0.028초

Experimental investigation for failure analysis of steel beams with web openings

  • Morkhade, Samadhan G.;Gupta, Laxmikant M.
    • Steel and Composite Structures
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    • 제23권6호
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    • pp.647-656
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    • 2017
  • This paper presents an experimental study on the behaviour of steel beams with different types of web openings. Steel beams with web openings became progressively more accepted as a well-organized structural form in steel construction since their existence. Their complicated design and profiling method provides better flexibility in beam proportioning for strength, depth, size and location of holes. The objective of this study is to carry out the experiments on steel beams with different types of web openings and performed non-linear finite element (FE) analysis of the beams that were considered in the experimental study in order to determine their ultimate load capacity and failure modes for comparison. Ten full scale models of steel beam with web openings have been tested in the experimental investigation. The finite element method has been used to predict their entire response to increasing values of external loading until they lose their load carrying capacity. FE model of each specimen that is utilized in the experimental studies is carried out. These models are used to simulate the experimental work to verify test results and to investigate the nonlinear behaviour of failure modes such as local buckling, lateral torsional buckling, web-post buckling, shear buckling and Vierendeel bending of beams.

직선형 측지선에 기초한 원형보전형 메쉬 파라미터화 (Geodesics-based Shape-preserving Mesh Parameterization)

  • 이혜영
    • 한국정보과학회논문지:시스템및이론
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    • 제31권7호
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    • pp.414-420
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    • 2004
  • 구분선형 파라미터화의 특성 중 파라미터 평면상에서 중복되는 삼각형이 발생하지 않도록 하는 일대일 맵핑이 특히 강조된다. 일대일 맵핑은 아핀변환식의 비음수 계수 값으로 보장된다. Floater는 3차원 메쉬를 geodesic polar-mapping으로 평면화한 후 무게중심 좌표를 이용, 비음수 계수 값을 산출하였다. 그러나 평면화 된 삼각형은 이미 3차원상의 원형이 왜곡된 상태로 이 계수를 사용한 파라미터화는 원형왜곡을 심화시킨다. 본 논문에서는 기존의 Floater 방법을 개선한, 새로운 구분 선형 파라미터화 방법을 제안하고자 한다. 메쉬상의 직선형 측지선 길이를 이용하여 무게중심 좌표를 간단히 산출할 수 있는 새로운 방법으로 계산의 과부하 없이 비음수 계수 값을 3차원 메쉬상에서 직접 계산한다. 위의 비음수 계수로 구성된 선형시스템을 사용하여 삼각형의 중복이 없이 일대일 맵핑이 보장되는 구분선형 파라미터화를 제공한다. 본 방법은 기존 Floater방법의 평면화 단계를 제거함으로써, 이로 인한 원형왜곡을 감소시키고 파라미터화 전체 과정도 단순화하였다.

REVISING THE TRADITIONAL BACKPROPAGATION WITH THE METHOD OF VARIABLE METRIC(QUASI-NEWTON) AND APPROXIMATING A STEP SIZE

  • Choe, Sang-Woong;Lee, Jin-Choon
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.118-121
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    • 1998
  • In this paper, we propose another paradigm(QNBP) to be capable of overcoming Limitations of the traditional backpropagation(SDBP). QNBPis based on the method of Quasi -Newton(variable metric) with the nomalized direction vectors and computes step size through the linear search. Simulation results showed that QNBP was definitely superior to both the stochasitc SDBP and the deterministic SDBP in terms of accuracy and rate of convergence and might sumount the problem of local minima. and there was no different between DFP+SR1 and BFGS+SR1 combined algrothms in QNBP.

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Estimation and variable selection in censored regression model with smoothly clipped absolute deviation penalty

  • Shim, Jooyong;Bae, Jongsig;Seok, Kyungha
    • Journal of the Korean Data and Information Science Society
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    • 제27권6호
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    • pp.1653-1660
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    • 2016
  • Smoothly clipped absolute deviation (SCAD) penalty is known to satisfy the desirable properties for penalty functions like as unbiasedness, sparsity and continuity. In this paper, we deal with the regression function estimation and variable selection based on SCAD penalized censored regression model. We use the local linear approximation and the iteratively reweighted least squares algorithm to solve SCAD penalized log likelihood function. The proposed method provides an efficient method for variable selection and regression function estimation. The generalized cross validation function is presented for the model selection. Applications of the proposed method are illustrated through the simulated and a real example.

ANALYSIS OF SMOOTHING NEWTON-TYPE METHOD FOR NONLINEAR COMPLEMENTARITY PROBLEMS

  • Zheng, Xiuyun
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1511-1523
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    • 2011
  • In this paper, we consider the smoothing Newton method for the nonlinear complementarity problems with $P_0$-function. The proposed algorithm is based on a new smoothing function and it needs only to solve one linear system of equations and perform one line search per iteration. Under the condition that the solution set is nonempty and bounded, the proposed algorithm is proved to be convergent globally. Furthermore, the local superlinearly(quadratic) convergence is established under suitable conditions. Preliminary numerical results show that the proposed algorithm is very promising.

CAD/CAE 통합 접근을 위한 T-스플라인 유한요소법 (T-spline Finite Element Method for CAD/CAE Integrated Approach)

  • 엄태경;김기승;서유덕;윤성기
    • 대한기계학회논문집A
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    • 제33권2호
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    • pp.127-134
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    • 2009
  • T-splines are recently proposed geometric modeling tools. A T-spline surface is a NURBS surface with T-junctions and is defined by a control grid called T-mesh. Local refinement can be performed very easily for T-splines while it is limited for B-splines or NURBS. Using T-splines, patches with unmatched boundaries can be combined easily without special technique. In this study, the analysis methodology using T-splines is proposed. In this methodology, T-splines are used both for description of geometries and for approximation of solution spaces. Two-dimensional linear elastic and dynamic problems will be solved by employing the proposed T-spline finite element method, and the effectiveness of the current analysis methodology will be verified.

서브모델링과 응력선형화를 이용한 압력용기의 안전성 평가

  • 최재훈;김준영
    • EDISON SW 활용 경진대회 논문집
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    • 제4회(2015년)
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    • pp.234-238
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    • 2015
  • When we use a Finite Elements Method (FEM) to solve a linear static analysis problem, number of elements need to be sufficiently small for convergence of the solution. If we analysis a part, whose curvature is varying heavily, we face to determine how small the elements size is, because the calculated stress is increased as the elements are smaller. In this case, we need to analysis with mesh insensitive method, stress linearization. We can get a solution that is not varying with the elements size if the size is smaller than a certain level. In this paper, we evaluate a pressure vessel having geometrical discontinuities using stress linearization. First, we analysis the vessel with global model, including all part of the vessel, using large shell elements. Second, we analysis the local part of the vessel, which is the small part occurring maximum stress, using small continuum elements. Last, we evaluate the safety of the pressure vessel according to the ASME Sec. VIII Div 2.

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F. E.-assisted design of the eaves bracket of a cold-formed steel portal frame

  • Lim, J.B.P.;Nethercot, D.A.
    • Steel and Composite Structures
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    • 제2권6호
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    • pp.411-428
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    • 2002
  • Non-linear large-displacement elasto-plastic finite element analyses are used to propose design recommendations for the eaves bracket of a cold-formed steel portal frame. Owing to the thinness of the sheet steel used for the brackets, such a structural design problem is not trivial as the brackets need to be designed against failure through buckling; without availability of the finite element method, expensive laboratory testing would therefore be required. In this paper, the finite element method is firstly used to predict the plastic moment capacity of the eaves bracket. Parametric studies are then used to propose design recommendations for the eaves bracket against two potential buckling modes of failure: (1) buckling of the stiffened free-edge into one-half sine wave, (2) local plate buckling of the exposed triangular bracket area.The results of full-scale laboratory tests on selected geometries of eaves bracket demonstrate that the proposed design recommendations are conservative. The use of the finite element method in this way exploits modern computational techniques for an otherwise difficult structural design problem.

INFINITELY MANY SOLUTIONS FOR (p(x), q(x))-LAPLACIAN-LIKE SYSTEMS

  • Heidari, Samira;Razani, Abdolrahman
    • 대한수학회논문집
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    • 제36권1호
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    • pp.51-62
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    • 2021
  • Variational method has played an important role in solving problems of uniqueness and existence of the nonlinear works as well as analysis. It will also be extremely useful for researchers in all branches of natural sciences and engineers working with non-linear equations economy, optimization, game theory and medicine. Recently, the existence of infinitely many weak solutions for some non-local problems of Kirchhoff type with Dirichlet boundary condition are studied [14]. Here, a suitable method is presented to treat the elliptic partial derivative equations, especially (p(x), q(x))-Laplacian-like systems. This kind of equations are used in the study of fluid flow, diffusive transport akin to diffusion, rheology, probability, electrical networks, etc. Here, the existence of infinitely many weak solutions for some boundary value problems involving the (p(x), q(x))-Laplacian-like operators is proved. The method is based on variational methods and critical point theory.

총선으로 본 지역주의 -영동.무주.김천 지역을 중심으로- (Political Regionalism in Korean Congressional Elections 1988$\sim$2004: A case study with provincial border regions Yeongdong, Muju and Kimcheon)

  • 김재한
    • 한국지역지리학회지
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    • 제13권4호
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    • pp.381-395
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    • 2007
  • 한국 사회의 민주화와 소선거구제로의 변화로 또한 지역기반 정당의 출현으로 13대 총선 이후 전국적인 투표 행태가 종래 여촌야도에서 지역주의적인 양상으로 바뀌었다. 충북 전북 경북의 접경지역인 영동군, 무주군, 김천시를 대상으로 지역적 정당정체성의 변화를 검토하고, 각 후보자 선택 기준의 중요도를 비교하여 투표 행태를 규명해 보고자 하였다. 시군 단위로 볼 때, 타도와의 문화적 친화성으로 인해 영동군은 전면적으로 무주군은 부분적으로 지역당에 대한 지지가 약화되는 반면, 김천시는 지역당에 대한 지지가 확고한 것으로 나타났다. 읍면 단위로 본 이웃효과는 3 시군 모두에서 부분적으로만 확인되었다. 후보자의 정치적, 사회적 특성이 유권자의 투표행위라 할 수 있는 득표율에 어느 정도 영향을 미치는지를 선형근사식을 통해 살펴 본 결과, 여러 설문조사와는 다르게 후보자의 소속 정당이나 출신지역 등 지역적인 선택 기준을 중시하고 있다. 지난 17대 총선을 기점으로 지역정당이 쇠퇴하고 있어 향후 정치적 지역주의에 어떠한 변화가 초래될지 주목된다.

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