• 제목/요약/키워드: free edges

검색결과 204건 처리시간 0.03초

양단단순-양단자유지지된 특별직교 이방성 적층복합판의 진동해석을 위한 간편법 (A Simple Method of Vibration Analysis of Special Orthotropic Plate with A Pair of Opposite Edges Simply Supported and The Other Pair of Opposite Edges Free)

  • Kim Duk-Hyun;Kim, Kyeong-Jin;Hong, Chang-Woo
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.135-142
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    • 1996
  • In this paper, a simple tut accurate method of vibration analysis of structural elements with or without attached mass/masses is presented. The method used has been developed by the senior author since 1974. This method is very effective for the plates with arbitrary boundary conditions and irregular sections. This method is applied to the special orthotropic Plate with two opposite edges simply supported and the other two opposite edges free. Such plate represents the most of the simply supported bridges/decks, including concrete and girders-cross beam systems. Detailed illustration is given for beams and plates for easy understanding. Some laminate orientation for which the special orthotropic equations can be applied are identified.

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Cycles in Conditional Faulty Enhanced Hypercube Networks

  • Liu, Min;Liu, Hongmei
    • Journal of Communications and Networks
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    • 제14권2호
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    • pp.213-221
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    • 2012
  • The architecture of an interconnection network is usually represented by a graph, and a graph G is bipancyclic if it contains a cycle for every even length from 4 to ${\mid}V(G){\mid}$. In this article, we analyze the conditional edge-fault-tolerant properties of an enhanced hypercube, which is an attractive variant of a hypercube that can be obtained by adding some complementary edges. For any n-dimensional enhanced hypercube with at most (2n-3) faulty edges in which each vertex is incident with at least two fault-free edges, we showed that there exists a fault-free cycle for every even length from 4 to $2^n$ when n($n{\geq}3$) and k have the same parity. We also show that a fault-free cycle for every odd length exists from n-k+2 to $2^n-1$ when n($n{\geq}2$) and k have the different parity.

任意의 境界條件을 갖는 鐵筋콘크리트 扇形板의 解析(II) - 第 2報 鐵筋比 및 邊長比의 影響 - (An Analysis of the Reinforced Concrete Circular Ring Sector Plates with Arbitrary Boundary Conditions)

  • 조진구
    • 한국농공학회지
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    • 제34권1호
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    • pp.78-86
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    • 1992
  • This paper aims at investigating the effect of steel ratio and the magnitude of edge-ratio on the mechanical characteristics of reinforced concrete ring sector plate. The influence of steel bars was taken into account by coupling stiffness matrix of the steel bar element with that of the concrete plate element without dealing with separate element of steel bar and by establishing the composite stiffness matrix, which leads to the desirable result which does not increase th number of element could be obtained. Through case studies with 6 cases various steel ratios in ring sector plate supported at four edges and 4 cases with different open angles, the influence of the steel ratio was examined. A numerical analysis to find out the effect of the steel ratio d ue to above mentioned cases was carried out by 4 boundary conditions ; all edges clamped (B.C-1), all edges simply supported (B.C-2), curvilinear two edges clamped and other edges free (B.C-3) and curvilinear two edges simply supported and other edges free(B.C-4). The main results obtained are summarized as follows : 1. The effect of steel ratio on the magnitude of lateral deflection and x-directional bending moment at the center of sector plate and the midpoint of outer and inner curvilinear edges is almost the same up to $30^{\circ}$ of open angle. Beyond $30^{\circ}$ of the angle, the larger the angle, the greater the effect of ratio. 2. In design works using balanced steel ratio, the effect of steel bar can be ignored. But for larger open angles, especially greater than $90^{\circ}$, it proves desirable to consider the effect of steel bar. 3. The effect of the arc length of center circle/straight edge on lateral deflection and bending moment is remarkable in B.C-2. For larger open angle, the effect is also noted except for B.C-3 which turn out hardly affected. 4. The effect of the radius of curvature/straight side length on lateral deflection and x-directional bending moment is noted in B.C-2. As open angle increases, B.C-1 and B.C-3 almost agree and B.C-2 approaches B.C-4.

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탄성반력의 영향에 따른 직교 이방성 복합판의 고유 진동 해석 (Vibration Analysis of Orthortopic Composite Plate According to Elastic Reaction Effect)

  • 정영화;심도식;김경진;이세진
    • 산업기술연구
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    • 제17권
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    • pp.199-204
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    • 1997
  • In this paper, the result of application of vibration method to the orthotropic plates with free edges supported on elastic foundation and with a pair of opposite edges under axial forces is presented. Such plates represent the concrete highway slab and hybrid composite pavement of bridges. The reinforced concrete slab can be assumed as a special orthotropic plate, as a close approximation. The highway slab is supported on elastic foundation, with free boundaries. Sometimes, the pair of edges perpendicular to the traffic direction may be subject to the axial forces. The plate is subject to the concentrated load/loads, in the form of traffic loads, or the test equipments. Finite difference method is used to obtain the deflection influence surfaces needed for vibration analysis. The influence of the modulus of the foundation, the aspect ratio of the plate, and the magnitudes of the axial forces and the concentrated attached mass on the plate, under the natural frequency is thoroughly studied.

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Thermal postbuckling of imperfect Reissner-Mindlin plates with two free side edges and resting on elastic foundations

  • Shen, Hui-Shen
    • Structural Engineering and Mechanics
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    • 제6권6호
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    • pp.643-658
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    • 1998
  • A thermal postbuckling analysis is presented for a moderately thick rectangular plate subjected to uniform or nonuniform tent-like temperature loading and resting on an elastic foundation. The plate is assumed to be simply supported on its two opposite edges and the two side edges remain free. The initial geometrical imperfection of the plate is taken into account. The formulation are based on the Reissner-Mindlin plate theory considering the first order shear deformation effect, and including plate-foundation interaction and thermal effects. The analysis uses a mixed Galerkin-perturbation technique to determine the thermal buckling loads and postbuckling equilibrium paths. Numerical examples are presented that relate to the performances of perfect and imperfect, moderately thick plates resting on Pasternak-type or softening nonlinear elastic foundations from which results for Winker elastic foundations follow as a limiting case. Typical results are presented in dimensionless graphical form.

등방성 직사각형의 3변 고정 1변 자유 얇은 탄성판에 대한 기존 해석해의 분석 (Analysis of the Existing Analytical Solutions for Isotropic Rectangular Thin Elastic Plates with Three Edges Clamped and the Other Free)

  • 서승남
    • 대한토목학회논문집
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    • 제26권1A호
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    • pp.117-132
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    • 2006
  • 3변 고정 1변 자유 직사각형 얇은 판에 대한 기존 해석해를 무차원식으로 유도하고 특성을 분석하였다. Timoshenko와 Woinowsky-Krieger의 방법(1959)은 변장비가 1보다 작은 경우에만 제한적으로 해가 존재하여 처짐 특성에 대한 실용적인 해가 되지 않음을 밝혔다. 굴정(堀井)와 본(本)의 방법(1968)에 수치안정을 위한 항을 추가하여 최대 150개 항까지 구성된 급수해를 구하였고 이로부터 계산한 휨 모멘트의 수렴을 분석하였다. 수정 굴정(堀井)와 본(本)의 방법은 모든 변장비에 대한 처짐 특성을 구할 수 있으나 고정단과 자유단이 접하는 교차점에서의 모멘트 계산은 자유단 경계조건을 만족하지 않으며 그 원인을 분석하였다.

인장하중 하에서 복합재 적층 패치의 3 차원 응력 해석 (Three-dimensional stress analysis of composite laminates patches under extension load)

  • 이재훈;조맹효;김흥수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.652-657
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    • 2008
  • A stress distribution of composite laminates patches is obtained by using the Kantorovich method when the substrate is under uniaxial load. The analysis is based on the stress function approach and uses the complementary virtual work principle. The three-dimensional stresses satisfy the traction free conditions at the free edges and the top surfaces of the patch. The stress of the bottom surfaces of the patch is obtained from equilibrium equation of patch and substrate. To demonstrate the efficiency and validity of the proposed analysis, numerical examples for cross-ply and quasi-isotropic laminates are included. The present method provides accurate stresses in the interior and near the free edges of composite laminate patches.

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응력함수에 기초한 복합 하중하의 복합재 적층판의 층간응력 해석 (Stress Function-Based Interlaminar Stress Analysis of Composite Laminates under Complex Loading Conditions)

  • 김흥수;김정윤;김진곤
    • 동력기계공학회지
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    • 제14권3호
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    • pp.52-57
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    • 2010
  • Interlaminar stresses near the free edges of composite laminates have been analyzed considering wall effects. Interface modeling of bonding layer was introduced to explain the wall effect. Using Lekhnitskii stress functions and the principle of complementary virtual work, the interlaminar stresses were obtained, which satisfied the traction free boundary conditions not only at the free edges, but also at the top and bottom surfaces of laminates. The interface modeling provides not singular stresses but concentrated finite interlaminar stresses. The significant amount of reductions of stresses at the free edge are observed compared to the results without interface modeling. The real stress state can be predicted accurately and the results demonstrate the usefulness of the proposed interface modeling for the strength design of composite laminates.

양단단순-타단자유인 특별직교이방성 적층복합판의 간편한 진동해석 (A Simple Method of Vibration Analysis of Speical Orthotropic Plate with A Pair of Opposite Edges Simply Supported and the Other Pair of Opposite Edges Free)

  • 김덕현;이정호;홍창우;박제선
    • Composites Research
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    • 제12권4호
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    • pp.33-41
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    • 1999
  • 이 논문에서는 첨가질량이 있거나 없는 구조요소에 대한 간편하고 정확한 진동해석 방법이 주어진다. 사용된 방법은 1974년 Kim, D. H.에 의해 개발되었다. 이 방법은 변단면과 다양한 경계조건을 갖는 판에 매우 효과적이다. 이 방법은 양단단순-타단자유를 갖는 특별직교이방성 적층복합판에 대해 적용되었다. 이러한 판은 콘크리트 거더-가로보 시스템을 포함하는 단순 지지된 교량상판의 대부분을 나타낸다. 쉬운 이해를 위해 상세한 실예가 보와판에 대해 주어졌다.

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후판압연에서의 오버랩 제어에 대한 실험적 연구 (An Experimental Study on Overlap Control at Plate Rolling)

  • 천명식;한석영;이준정;김종근
    • 대한기계학회논문집
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    • 제15권1호
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    • pp.376-385
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    • 1991
  • 본 연구에서는 그루브의 각도에 따라 그루브 에징을 한 형상과 상사하게 가상 의 슬라브를 제작하여 오버랩에 영향을 미치는 압연인자들을 분석하고 그 영향을 검토 함으로써 최적 G 롤의 각도를 결정하였고, 최적인 G 롤의 형상으로 에저를 제작하여 G 에징량에 따른 오버랩량의 변화를 고찰하였다.