• 제목/요약/키워드: parabolic load

검색결과 72건 처리시간 0.023초

Analysis of a functionally graded nanocomposite sandwich beam considering porosity distribution on variable elastic foundation using DQM: Buckling and vibration behaviors

  • Nejadi, Mohammad Mehdi;Mohammadimehr, Mehdi
    • Computers and Concrete
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    • 제25권3호
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    • pp.215-224
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    • 2020
  • In the present study, according to the important of porosity in low specific weight in comparison of high stiffness of carbon nanotubes reinforced composite, buckling and free vibration analysis of sandwich composite beam in two configurations, of laminates using differential quadrature method (DQM) is studied. Also, the effects of porosity coefficient and three types of porosity distribution on critical buckling load and natural frequency are discussed. It is shown the buckling loads and natural frequencies of laminate 1 are significantly larger than the results of laminate 2. When configuration 2 (the core is made of FRC) and laminate 1 ([0/90/0/45/90]s) are used, the first natural frequency rises noticeably. It is also demonstrated that the influence of the core height in the case of lower carbon volume fractions is negligible. Even though, when volume fraction of fiber increases, the critical buckling load enhances smoothly. It should be noticed the amount of decline has inverse relationship with the beam aspect ratio. Investigating three porosity patterns, beam with the distribution of porosity Type 2 has the maximum critical buckling load and first natural frequency. Among three elastic foundations (constant, linear and parabolic), buckling load and natural frequency in linear variation has the least amount. For all kind of elastic foundations, when the porosity coefficient increases, critical buckling load and natural frequency decline significantly.

지붕대체형 집광집열기를 이용한 태양열 난방시스템의 동절기 성능 평가 (A Study on the Field Test of the Solar Heating System with Parabolic Solar Collectors Integrated the Roof of a Residential Building)

  • 김용기;이태원;윤광은
    • 한국태양에너지학회 논문집
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    • 제27권2호
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    • pp.61-69
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    • 2007
  • The final energy consumption in the building sector in Korea represents almost 20% of the total energy consumption. Besides, Space heating and hot water generation in Korea are based on fossil fuels, with a serious environmental impact. Despite the popularity of simple solar domestic hot water systems, active solar space heating remains, for various reasons, marginal. And thus, the aim of this paper is to demonstrate potentialities of solar assisted space heating systems, both technically and economically. From this study found that the solar heating system with CPC solar collectors integrated the roof of a single-story residential building shares $50{\sim}55%$ of the annual heating load.

일정체적 변단면 보의 정적 최적 단면 (Static Optimal Shapes of Tapered Beams with Constant Volume)

  • 이태은;강희종;김권식;이병구
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.79-86
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    • 2005
  • This paper deals with the static optimal shapes of simple beams which are subjected to a vertical point load. The area and second moment of inertia of the regular polygon cross-section of the tapered beams are determined, which have always same volume and same length for the parabolic taper. The differential equation governing the elastic curve is derived using the small deflection theory and solved numerically. By using the numerical results of deflections, rotations and bending stresses of such beams, the optimal shapes, namely, optimal section ratios, of the beams subjected to a single point load according to variation of load position parameters are determined and presented in the figures. Examples of the static optimal shapes for beams with a single load and multiple loads are reported. The design process of this study can be used directly for the minimum weight design of simple beams.

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Stability analysis of transversely isotropic laminated Mindlin plates with piezoelectric layers using a Levy-type solution

  • Ghasemabadian, M.A.;Saidi, A.R.
    • Structural Engineering and Mechanics
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    • 제62권6호
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    • pp.675-693
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    • 2017
  • In this paper, based on the first-order shear deformation plate theory, buckling analysis of piezoelectric coupled transversely isotropic rectangular plates is investigated. By assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for buckling analysis of plate with surface bonded piezoelectric layers are established. The Maxwell's equation and all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. The analytical solution is obtained for Levy type of boundary conditions. The accurate buckling load of laminated plate is presented for both open and closed circuit conditions. From the numerical results it is found that, the critical buckling load for open circuit is more than that of closed circuit in all boundary and loading conditions. Furthermore, the critical buckling loads and the buckling mode number increase by increasing the thickness of piezoelectric layers for both open and closed circuit conditions.

일정체적 고정-회전 기둥의 동적안정 해석 (Dynamic Stability Analysis of Clamped-Hinged Columns with Constant Volume)

  • 김석기;이병구
    • 한국소음진동공학회논문집
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    • 제16권10호
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    • pp.1074-1081
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    • 2006
  • This paper deals with the dynamic stability analysis of clamped-hinged columns with constant volume. Numerical methods are developed for solving natural frequencies and buckling loads of such columns, subjected to an axial compressive load. The parabolic taper with the regular polygon cross-section is considered, whose material volume and column length are always held constant. Differential equations governing both free vibrations and buckled shapes of such columns are derived. The Runge-Kutta method is used to integrate the differential equations, and the Regula-Falsi method is used to determine natural frequencies and buckling loads, respectively. The numerical methods developed herein for computing natural frequencies and buckling loads are found to be efficient and robust. From the numerical results, dynamic stability regions, dynamic optimal shapes and configurations of strongest columns are reported in figures and tables.

부분 등분포 하중을 받는 원형아치 리브의 면내 좌굴 거동특성 (Characteristic Behavior of In-plane Buckling of Circular Arch Ribs Subjected to Partial Distributed Loading)

  • 김성훈;문지호;윤기용;이학은
    • 한국방재학회 논문집
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    • 제5권3호
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    • pp.57-65
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    • 2005
  • 아치 리브가 비대칭 하중을 받는 경우 아치 리브의 면내 좌굴 강도는 대칭 하중이 작용하는 경우 보다 저하된다. 하지만 비대칭 하중을 받는 아치 리브에 관한 연구는 대칭 하중이 작용하는 아치 리브에 관한 연구에 비하여 적은 실정이다. 비대칭 하중을 받는 아치 리브에 관한 연구는 Deutch(1940), Chang(1973)과 Harrison(1982)에 의하여 수행되었으며, 비대칭 하중이 대칭하중보다 좌굴하중을 감소시킨다는 것을 밝혔다. 그러나 이러한 연구는 포물선아치에 국한되었다. 본 논문은 원형아치 리브에 비대칭하중이 작용하는 경우 아치 리브의 면내 거동을 연구하였다. 본 연구에 의하면 기하비선형이 고려된 임계좌굴하중은 활하중과 고정하중의 길이의 비가 $0.6{\sim}0.7$일 때 가장 작고, 기하 재료비선형이 고려된 경우에는 $0.5{\sim}0.6$에서 가장 작은 결과를 보인다.

균일한 수직하중을 받는 I형강의 비탄성 좌굴거동에 의한 설계 (Inelastic Buckling Behavior of I-Beam Under Uniform Bending)

  • 이동식;오순택
    • 한국강구조학회 논문집
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    • 제16권1호통권68호
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    • pp.61-72
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    • 2004
  • 우리나라에서는 생산되는 I형강을 대상으로 비탄성 휨-뒤틀림 좌굴에 대하여 연구하였으며 잔류응력은 다항식형과 단순형으로 고려하였다. 또한 웨브의 면의 뒤틀림이 구속된 보의 비탄성 휨-비틀림 좌굴에 대해서도 알아보았다. 해석결과를 강구조편람의 허용 휨응력과 비교하였다. 균일한 휨을 받는 보의 경우는 비탄성 휨-비틀림 좌굴이 중요한 큰 영향을 미치지 않았으나, 중간 브레이싱이 없는 단지간 및 중지간보의 경우 강구조편람에 의한 설계는 과설계가 됨을 알 수 있었다.

일정체적 원형 변단면 보-기둥의 자유진동 및 좌굴하중 (Free Vibrations and Buckling Loads of Tapered Beam-Columns of Circular Cross-Section with Constant Volume)

  • 이병구
    • 전산구조공학
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    • 제9권3호
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    • pp.135-143
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    • 1996
  • 일정체적의 원형단면을 갖는 변단면 보-기둥의 자유진동 및 좌굴하중을 지배하는 미분방정식을 유도하고 이를 수치해석하였다. 미분방정식에는 축하중효과를 고려하였다. 원형단면의 반경변화는 포물선식을 채택하였고, 고정-고정, 고정-회전 및 회전-회전 보-기둥의 고유진동수 및 좌굴하중을 산출하였다. 수치해석의 결과로 무차원 고유진동수와 무차원 변수들 사이의 관계 및 무차원 좌굴하중과 단면비 사이의 관계를 그림에 나타내었고, 최강기둥의 단면비와 좌굴하중을 구하였다.

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Buckling analysis of sandwich beam rested on elastic foundation and subjected to varying axial in-plane loads

  • Hamed, Mostafa A.;Mohamed, Salwa A;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제34권1호
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    • pp.75-89
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    • 2020
  • The current paper illustrates the effect of in-plane varying compressive force on critical buckling loads and buckling modes of sandwich composite laminated beam rested on elastic foundation. To generalize a proposed model, unified higher order shear deformation beam theories are exploited through analysis; those satisfy the parabolic variation of shear across the thickness. Therefore, there is no need for shear correction factor. Winkler and Pasternak elastic foundations are presented to consider the effect of any elastic medium surrounding beam structure. The Hamilton's principle is proposed to derive the equilibrium equations of unified sandwich composite laminated beams. Differential quadrature numerical method (DQNM) is used to discretize the differential equilibrium equations in spatial direction. After that, eigenvalue problem is solved to obtain the buckling loads and associated mode shapes. The proposed model is validated with previous published works and good matching is observed. The numerical results are carried out to show effects of axial load functions, lamination thicknesses, orthotropy and elastic foundation constants on the buckling loads and mode shapes of sandwich composite beam. This model is important in designing of aircrafts and ships when non-uniform compressive load and shear loading is dominated.

Buckling and stability analysis of sandwich beams subjected to varying axial loads

  • Eltaher, Mohamed A.;Mohamed, Salwa A
    • Steel and Composite Structures
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    • 제34권2호
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    • pp.241-260
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    • 2020
  • This article presented a comprehensive model to study static buckling stability and associated mode-shapes of higher shear deformation theories of sandwich laminated composite beam under the compression of varying axial load function. Four higher order shear deformation beam theories are considered in formulation and analysis. So, the model can consider the influence of both thick and thin beams without needing to shear correction factor. The compression force can be described through axial direction by uniform constant, linear and parabolic distribution functions. The Hamilton's principle is exploited to derive equilibrium governing equations of unified sandwich laminated beams. The governing equilibrium differential equations are transformed to algebraic system of equations by using numerical differential quadrature method (DQM). The system of equations is solved as an eigenvalue problem to get critical buckling loads and their corresponding mode-shapes. The stability of DQM in determining of buckling loads of sandwich structure is performed. The validation studies are achieved and the obtained results are matched with those. Parametric studies are presented to figure out effects of in-plane load type, sandwich thickness, fiber orientation and boundary conditions on buckling loads and mode-shapes. The present model is important in designing process of aircraft, naval structural components, and naval structural when non-uniform in-plane compressive loading is dominated.