• 제목/요약/키워드: rectangular beam

검색결과 398건 처리시간 0.026초

Efficient models for analysis of a multistory structure with flexible wings

  • Moon, Seong-Kwon;Lee, Dong-Guen
    • Structural Engineering and Mechanics
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    • 제13권5호
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    • pp.465-478
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    • 2002
  • This study lays emphasis on the development of efficient analytical models for a multistory structure with wings, including the in-plane deformation of floor slabs. For this purpose, a multistory structure with wings is regarded as the combination of multistory structures with rectangular plan and their junctions. In addition, a multistory structure with a rectangular plan is considered to be an assemblage of two-dimensional frames and floor slabs connecting two adjacent frames at each floor level. This modeling, concept can be easily applied to multistory structures with plans in the shape of L, T, Y, U, H, etc. To represent the in-plane deformation of floor slabs efficiently, a two-dimensional frame and the floor slab connecting two adjacent frames at each floor level are modeled as a stick model with two degrees of freedom per floor and a stiff beam with shear deformations, respectively. Three models are used to investigate the effect of in-plane deformation of the floor slab at the junction of wings on the seismic behavior of structures. Based on the comparison of dynamic analysis results obtained using the proposed models and three-dimensional finite element models, it could be concluded that the proposed models can be used as an efficient tool for an approximate analysis of a multistory structure with wings.

Dynamic analysis of piezoelectric perforated cantilever bimorph energy harvester via finite element analysis

  • Yousef A. Alessi;Ibrahim Ali;Mashhour A. Alazwari;Khalid Almitani;Alaa A Abdelrahman;Mohamed A. Eltaher
    • Advances in aircraft and spacecraft science
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    • 제10권2호
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    • pp.179-202
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    • 2023
  • This article presents a numerical analysis to investigate the natural frequencies and harmonic response of a perforated cantilever beam attached to two layers of piezoelectric materials by using the finite element method for the first time. The bimorph piezoelectric is composed of 3 layers; two of them at the outer are piezoelectric, and the inner isotropic material. A higher order 3-D 20-node solid element that exhibits quadratic displacement behavior is exploited to discretize the isotropic layer, and coupled piezoelectric 3D element with twenty nodes is used to mesh the top and bottom layers. CIRCU94 element is added to act as a resistor part of the model. The proposed model is validated with previous works. The numerical parametric studies are presented to illustrate the effects of perforation geometry, the number of rows, the resistance on the natural frequencies, frequency response, and power. It is found that the thickness has a positive relationship with the natural frequency. Perforations help in producing higher voltage, and the best shape is rectangular perforations, and to produce higher voltage, two rows of rectangular perforations should be applied.

방사선치료시 최적의 빔 위치와 크기 결정 (The Determination of Optimum Beam Position and Size in Radiation Treatment)

  • 박정훈;서태석;최보영;이형구;신경섭
    • 한국의학물리학회지:의학물리
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    • 제11권1호
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    • pp.49-57
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    • 2000
  • 방사선 치료에 따른 방사선량 최적화 문제를 풀기 위한 새로운 방법이 제시되었다. 기존의 2차원 치료계획과는 달리 3차원 문제에서는 모든 조건이 훨씬 복잡하고 관련된 변수도 많아지기 때문에 문제를 해결하기가 쉽지 않다. 본 연구에서는 3차원 선량최적화 문제를 접근하는데 있어서, 해가 존재할 수 있는 범위를 줄여주고, 중요한 파라미터들을 미리 구해주어서 치료계획에 관련된 변수를 줄이는 방법을 연구하였다. 먼저 선형가속기와 환자좌표계사이의 좌표변환을 이용하여 두부 내의 중요기관을 피하는 빔 위치를 찾았다 그리고 임의의 빔 위치에 대해 병소를 완전히 감싸는 빔 크기와 콜리메이터 회전각을 구하였다. 그 결과 가능한 빔 위치를 줄여줄 수 있었고, 빔 크기와 회전각에 대한 의존성을 없앨 수 있었다. 따라서 고려해야할 변수의 조합이 크게 줄어들게 되었고, 목적함수를 이용한 선량최적화에 있어서 최소한의 변수로만 계산이 가능하게 되었다. 위의 결과를 이용하여 임상에 널리 쓰이는 2차원 방사선치료계획의 선량최적화 문제를 해결하였다. 선량기울기, 중요기관의 선량, 선량분포 균일도를 조합한 목적함수를 최소화하는 최적해를 step search 방법을 이용하여 구하였다. 그리고 이 최적해를 이용한 선량분포로부터 새로운 방법에 의한 선량최적화의 가능성을 확인할 수 있었고, 후속 연구를 통하여 상용 방사선 치료계획 시스템에 적용함으로써 임상에 쓰일 수 있을 것으로 사료된다.

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가구 및 중목구조용 실대재 스킨팀버의 압축 성능에 관한 연구 (A study on the compressive capacity of structural skin timber for the furniture manufacturing and heavy timber construction)

  • 김광철
    • 한국가구학회지
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    • 제21권4호
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    • pp.273-283
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    • 2010
  • Structural larger timber have some weak points as like much longer drying time at lower MC(15%), a considerable check developing and the difficulty for the chemicals injection, so it is necessary to develop lighter structural size member for using the new Hanok, heavy timber construction, living necessaries, furniture and industrial goods. The developed skin timber can be a good raw material for those uses. Skin timber is a hollowed timber which be bored out of its considerable cross-sectional area. The intention of this study was the evaluation of compressive capacity of skin timber. Specially, skin timbers which have more than 200mm in sizes were used to analyze the compressive capacity. From the results of this study, the following conclusions have been made: 1. Though considerable inner parts were bored out, both pine skin timber and larch skin timber showed a good compressive capacity to that of non-bored solid timber. 2. According to ASTM, pine skin timber showed various failure types, but Splitting type, Brooming and end rolling type were main failure types for the larch skin timber. 3. Pine skin timber didn't show the significance between cylindrical shape and rectangular shape, but larch skin timber showed the significance between two shapes. Therefore, for the larch skin timber, cylindrical shape and rectangular shape should be used as a column uses and beam uses respectively. 4. Pine skin timber and larch skin timber didn't show the significance on the compressive capacity. There is not much difference of compressive capacity between them, so it can be possible to select on the user convenience.

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Direct shear behavior of concrete filled hollow steel tube shear connector for slim-floor steel beams

  • Hosseinpour, Emad;Baharom, Shahrizan;Badaruzzaman, Wan Hamidon W.;Shariati, Mahdi;Jalali, Abdolrahim
    • Steel and Composite Structures
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    • 제26권4호
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    • pp.485-499
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    • 2018
  • In this paper, a hollow steel tube (HST) shear connector is proposed for use in a slim-floor system. The HST welded to a perforated steel beam web and embedded in concrete slab. A total of 10 push-out tests were conducted under static loading to investigate the mechanical behavior of the proposed HST connector. The variables were the shapes (circular, square and rectangular) and sizes of hollow steel tubes, and the compressive strength of the concrete. The failure mode was recorded as: concrete slab compressive failure under the steel tube and concrete tensile splitting failure, where no failure occurred in the HST. Test results show that the square shape HST in filled via concrete strength 40 MPa carried the highest shear load value, showing three times more than the reference specimens. It also recorded less slip behavior, and less compressive failure mode in concrete underneath the square hollow connector in comparison with the circular and rectangular HST connectors in both concrete strengths. The rectangular HST shows a 20% higher shear resistance with a longer width in the load direction in comparison with that in the smaller dimension. The energy absorption capacity values showed 23% and 18% improvements with the square HST rather than a headed shear stud when embedded in concrete strengths of 25 MPa and 40 MPa, respectively. Moreover, an analytical method was proposed and predicts the shear resistance of the HST shear connectors with a standard deviation of 0.14 considering the shape and size of the connectors.

보 상부철근의 슬래브 내 분산배근에 따른 휨강도의 수치해석적 연구 (A Numerical Study on Flexural Strength with the Spreading of Upper Reinforcement of Girder into the Adjoining Slab)

  • 박정현
    • 한국산학기술학회논문지
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    • 제8권5호
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    • pp.1179-1185
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    • 2007
  • 본 논문은 슬래브내의 보 상부철근의 영향을 파악하기 위한 해석적 연구로 슬래브가 있는 보-기둥 접합부에서 기존의 설계방법인 직사각형 단면 내에 상부철근을 2단으로 배근한 보와 동일량의 상부철근을 직사각형 단면에 1단만 배근하고 나머지는 보의 적정 플랜지폭 내에 분산 배치하여 상부철근의 배치에 따라 보의 휨 강도가 어떻게 변화하는지를 정량적으로 평가할 수 있도록 하는 것이다. 이러한 연구 목적을 수행하기 위하여 상용화된 범용 구조해석 프로그램인 ANSYS를 이용하여 모델링하고, 비선형 구조해석을 실시하였다. 플랜지폭, 플랜지(슬래브)두께 및 상부 플랜지내에서의 철근의 위치 등을 변수로 한 수치해석을 통하여 보의 최대내력을 비교 검토한 결과, 플랜지폭의 영향은 상부 인장철근을 1단으로 직사각형 단면에서 멀리 배치할수록 내력차이가 증가하는 것을 확인하였으며, 플랜지폭이 동일한 계열에서 내력이 증가되는 비율은 플랜지두께의 영향을 크게 받지 않는 것으로 나타났고, 상부 인장철근의 위치에 따른 내력은 슬래브두께가 증가할수록 내력의 차이가 줄어드는 것으로 나타났다.

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RHS기둥-보 접합부의 모멘트전달효율 평가 (Evaluation of Moment Transfer Efficiency of a Beam Web at RHS Column-to-Beam Connections)

  • 김영주;오상훈
    • 한국지진공학회논문집
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    • 제10권4호
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    • pp.67-76
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    • 2006
  • 본 논문에서는 철골 각형강관단면(RHS) 기둥-보 접합부에서 웨브의 모멘트 전달효율을 평가하였다. 먼저, 5개의 철골보접합부에 대한 비선형 유한요소해석을 수행하였다. 이들은 접합부 상세가 다르게 설계되었고, 따라서 휨저항 성능이 각기 다르다. 해석결과 RHS 기둥을 가진 모델은 기둥 플랜지의 면외변형 때문에 WF(Wide Flange) 기둥을 가진 모델에 비해 모멘트 전달효율이 저하함을 보였다. 스캘럽(WAH)과 얇은 강관기둥 두께도 모멘트 전달효율의 저하를 가져오는 원인으로서, 결과적으로 보-기둥 접합부의 파단을 초래할 가능성이 크다. 해석과 이전의 실험결과를 기초로 하면, 응력집중은 모멘트 전달효율과 반비례하고, 접합부의 변형능력은 모멘트 전달효율의 저하에 따라 감소하는 것을 알 수 있다. 더 나아가서 바닥슬래브가 있는 합성보 접합부에 대한 유한요소해석결과는 중립축이 상부플랜지 방향으로 상승함으로써 모멘트 전달효율이 저하했고, 이러한 영향은 접합부의 조기 취성파단을 초래하는 것을 보였다.

장스팬 및 층고저감형 와이드 복합보의 휨성능에 관한 연구 (Study on Flexural Strength of Wide Composite Beam for Long Span and Saving Story height)

  • 최윤철;박금성;이상섭;최현기
    • 한국구조물진단유지관리공학회 논문집
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    • 제21권6호
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    • pp.44-51
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    • 2017
  • 최근 국내 자동차 보유대수의 급격한 증가로 도심지 주차문제가 복잡해지고 있다. 도심지 주차문제 해결에 있어 공작물 주차장이 주목을 받고 있다. 그러나 공작물 주차장은 전체 높이 8 m 이하로 건설되도록 규정되어 있다. 이에 본 연구에서는 층고절감 및 장스팬화가 가능한 와이드 합성보를 개발하여 휨성능을 평가하였다. 휨 성능 실험 결과, 강재보의 두께가 3 mm 증가($6mm{\rightarrow}9mm$)함에 따라 휨강도는 약 20%가 증가하였다. 보 보강철근(트러스철근)의 형태(삼각형, 사각형)은 휨강도에 영향을 미치지 않았다. 보 보강철근(트러스철근)이 없는 경우는 있는 경우보다 약 10%가량 휨강도가 저하되었다. 또한 하중이 증가할수록 중립축은 상부로 이동하지만 일정하중을 넘어가면 중립축이 다시 하부로 이동하는 결과를 나타내었다.

Nonlinear magneto-electro-mechanical vibration analysis of double-bonded sandwich Timoshenko microbeams based on MSGT using GDQM

  • Mohammadimehr, M.;Shahedi, S.
    • Steel and Composite Structures
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    • 제21권1호
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    • pp.1-36
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    • 2016
  • In the present study, the nonlinear magneto-electro-mechanical free vibration behavior of rectangular double-bonded sandwich microbeams based on the modified strain gradient theory (MSGT) is investigated. It is noted that the top and bottom sandwich microbeams are considered with boron nitride nanotube reinforced composite face sheets (BNNTRC-SB) with electrical properties and carbon nanotube reinforced composite face sheets (CNTRC-SB) with magnetic fields, respectively, and also the homogenous core is used for both sandwich beams. The connections of every sandwich beam with its surrounding medium and also between them have been carried out by considering Pasternak foundations. To take size effect into account, the MSGT is introduced into the classical Timoshenko beam theory (CT) to develop a size-dependent beam model containing three additional material length scale parameters. For the CNTRC and BNNTRC face sheets of sandwich microbeams, uniform distribution (UD) and functionally graded (FG) distribution patterns of CNTs or BNNTs in four cases FG-X, FG-O, FG-A, and FG-V are employed. It is assumed that the material properties of face sheets for both sandwich beams are varied in the thickness direction and estimated through the extended rule of mixture. On the basis of the Hamilton's principle, the size-dependent nonlinear governing differential equations of motion and associated boundary conditions are derived and then discretized by using generalized differential quadrature method (GDQM). A detailed parametric study is presented to indicate the influences of electric and magnetic fields, slenderness ratio, thickness ratio of both sandwich microbeams, thickness ratio of every sandwich microbeam, dimensionless three material length scale parameters, Winkler spring modulus and various distribution types of face sheets on the first two natural frequencies of double-bonded sandwich microbeams. Furthermore, a comparison between the various beam models on the basis of the CT, modified couple stress theory (MCST), and MSGT is performed. It is illustrated that the thickness ratio of sandwich microbeams plays an important role in the vibrational behavior of the double-bonded sandwich microstructures. Meanwhile, it is concluded that by increasing H/lm, the values of first two natural frequencies tend to decrease for all amounts of the Winkler spring modulus.

Exact vibration and buckling analyses of arbitrary gradation of nano-higher order rectangular beam

  • Heydari, Abbas
    • Steel and Composite Structures
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    • 제28권5호
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    • pp.589-606
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    • 2018
  • The previous studies reflected the significant effect of neutral-axis position and coupling of in-plane and out-of-plane displacements on behavior of functionally graded (FG) nanobeams. In thin FG beam, this coupling can be eliminated by a proper choice of the reference axis. In shear deformable FG nanobeam, not only this coupling can't be eliminated but also the position of neutral-axis is dependent on through-thickness distribution of shear strain. For the first time, in this paper it is avoided to guess a shear strain shape function and the exact shape function and consequently the exact position of neutral axis for arbitrary gradation of higher order nanobeam are obtained. This paper presents new methodology based on differential transform and collocation methods to solve coupled partial differential equations of motion without any simplifications. Using exact position of neutral axis and higher order beam kinematics as well as satisfying equilibrium equations and traction-free conditions without shear correction factor requirement yields to better results in comparison to the previously published results in literature. The classical rule of mixture and Mori-Tanaka homogenization scheme are considered. The Eringen's nonlocal continuum theory is applied to capture the small scale effects. For the first time, the dependency of exact position of neutral axis on length to thickness ratio is investigated. The effects of small scale, length to thickness ratio, Poisson's ratio, inhomogeneity of materials and various end conditions on vibration and buckling of local and nonlocal FG beams are investigated. Moreover, the effect of axial load on natural frequencies of the first modes is examined. After degeneration of the governing equations, the exact new formulas for homogeneous nanobeams are computed.