• 제목/요약/키워드: paraboloid

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Dynamic behaviour of orthotropic elliptic paraboloid shells with openings

  • Darilmaz, Kutlu
    • Structural Engineering and Mechanics
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    • 제63권2호
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    • pp.225-235
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    • 2017
  • In this paper a vibration study on orthotropic elliptic paraboloid shells with openings is carried out by using a hybrid stress finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. Natural frequencies of orthotropic elliptic paraboloid shells with and without openings are presented. The influence of aspect ratio, height ratio, opening ratio and material angle on the frequencies and mode shapes are investigated.

Static and free vibration behaviour of orthotropic elliptic paraboloid shells

  • Darilmaz, Kutlu
    • Steel and Composite Structures
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    • 제23권6호
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    • pp.737-746
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    • 2017
  • In this paper the influence of aspect ratio, height ratio and material angle on static and free vibration behaviour of orthotropic elliptic paraboloid shells is studied by using a four-node hybrid stress finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. A parametric study is carried out for static and free vibration response of orthotropic elliptic paraboloid shells with respect to displacements, internal forces, fundamental frequencies and mode shapes by varying the aspect and height ratios, and material angle.

Oblique water entry of a three dimensional body

  • Scolan, Yves-Marie
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제6권4호
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    • pp.1197-1208
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    • 2014
  • The problem of the oblique water entry of a three dimensional body is considered. Wagner theory is the theoretical framework. Applications are discussed for an elliptic paraboloid entering an initially flat free surface. A dedicated experimental campaign yields a data base for comparisons. In the present analysis, pressure, force and dynamics of the wetted surface expansion are assessed.

교차곡선 연산을 이용한 평면 곡선의 오프셋 계산 (Computing Planar Curve Offset Based on Surface/Surface Intersection)

  • 최정주
    • 한국CDE학회논문집
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    • 제3권2호
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    • pp.127-134
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    • 1998
  • This paper presents d new algorithm to compute the offlet curve of a given planar parametric curve. We reduce the problem of computing an offset curve to that of intersecting a surface to a paraboloid. Given an input curve C(t)=(x(t), y(t))∈R², the corresponding surface D/sub c(t)/ is constructed symbolically as the envelope surface of a one-parameter family of tangent planes of the paraboloid Q:z=x²+y²along a lifted curve C(t)=(x(t), y(t), x(t)²+y(t)²∈Q. Given an offset distance d∈R, the offset curve C/sub d/(t) is obtained by the projection of the intersection curve of D/sub c(t)/ and a paraboloid Q:z=x²+y²-d² into the xy-plane.

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지점변형을 하는 모임지붕형 쌍곡포물선쉘의 유한요소 해석 (Finite Element Analysis of Gabled Hyperbolic Paraboloid Shells Subjected to Support Movements)

  • 김승남;유은종;나창순
    • 한국공간구조학회논문집
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    • 제12권4호
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    • pp.57-69
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    • 2012
  • This study investigated the behaviors of the gabled hyperbolic paraboloid shell structure subjected to differential settlement and the horizontal displacement due to the elongation of tie rod/beam on supports. Two types of shell structure with different roof slopes are used in study; conventional type which has perimeter beams around the shell panel, and simple type which removes the edge beams along the slab edge line. The effect of the removal of edge beam under vertical or horizontal displacement on supports, and the roof slope was compared using the finite element analysis.

Zernike 다항식을 이용한 오프셋 복 반사경 안테나의 해석 (Analysis of Offset Dual Reflector Antennas Using the Zernike Polynomials)

  • Hak Kuen Choi
    • 전자공학회논문지A
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    • 제28A권9호
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    • pp.662-670
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    • 1991
  • Fast analysis method for calculating the radiation pattern of offset dual reflector antenna are presented. The validity of proposed method was verified by comparing with results of PO/PO, GO/PO, and the equivalent paraboloid method. Proposed method is the series expansion method using the Zernike polynomials. The calculated results by using the Zernike polynomials are in good agreement with obtained results by GO/PO and equivalent paraboloid method except PO/PO.

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구조 신뢰성 해석방법의 고찰 (A Comparative Study on Structural Reliability Analysis Methods)

  • 양영순;서용석
    • 전산구조공학
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    • 제7권1호
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    • pp.109-116
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    • 1994
  • 구조물의 신뢰도를 평가하는 방법을 살표보고 각각의 장.단점을 비교한다. 각 방법의 정확성을 평가하는 기준으로는 Crude Monte Carlo(CMC)방법을 택하여 Importance Sampling(IS)방법, 그리고 Directional Simulation(DS) 방법을 살펴보고 1차 근사방법은 현재 많이 사용되고 있는 Rackwitz-Fiessler(RF)방법, Chen과 Lind가 제안한 3-parameter방법(CL), Hohenbichler가 제안한 Rosenblatt 변환방법(RT)을 그리고 2차 근사방법은 Breitung이 제안한 곡률적합 포물선 (Curvature Fitted Paraboloid, CFP) 공식과 Kiureghian이 제안한 점적합 포물선(Point Fitted Paraboloid, PFP)공식, 그리고 Log-Likelihood Function을 이용하여 원변수공간에서 파괴확률을 구하는 2차 근사공식(LLF)을 비교한다. 그리고 한계상태식이 불명확할 때 효율적으로 사용할 수 있는 반응응답법(Response sufrace method, RSM)을 살펴본다. 각 방법의 효율성 특히 적용 가능성을 예제를 통해 해석한 결과 추출법의 경우는 DS방법이, 그리고 근사방법에서는 RSM방법이 효율적임을 알 수 있다.

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모임지붕형 쌍곡포물선 쉘구조의 유한요소해석 (Finite Element Analysis of Gabled Hyperbolic Paraboloid Shells)

  • 김승남;유은종;나창순
    • 한국공간구조학회논문집
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    • 제12권1호
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    • pp.87-98
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    • 2012
  • 본 연구에서는 쉘의 테두리를 보가 둘러싸고 있는 전통적인 형태와 모서리보를 제거한 형태의 모임지붕형 쌍곡포물선쉘구조의 유한요소해석결과비교를 통해 모서리보의 역할을 확인하고, 또한 지붕의 경사도의 영향을 분석하였다. 유한요소해석에 의하면 쉘면에 작용하는 하중은 쉘 대각선 방향의 아치작용을 통해 모퉁이의 지점에 직접 전달되므로 막이론에 비해 테두리보에는 부재력이 작게 작용하고 모퉁이의 지점 부분의 쉘에는 응력이 증가되는 것으로 나타났다. 모서리보를 제거하면 지점 부근의 쉘에 더욱 응력이 집중되고 경사진 모서리 부분의 처짐이 증가하는데 이와 같은 현상은 지붕의 경사도가 낮아짐에 따라 현저해지는 것으로 나타났다. 따라서, 모임지붕형 쌍곡포물선쉘 구조에서는 지점 부분의 쉘두께를 보다 증가할 필요가 있으며 경사도가 낮은 쌍곡포물선쉘 구조의 모서리보 제거는 주의가 필요한 것으로 나타났다.

역우산형 쌍곡포물선 쉘의 유한요소해석 (Finite Element Analysis of Inverted Umbrella-type Hyperbolic Paraboloid Shell)

  • 권홍주;유은종;나창순
    • 한국공간구조학회논문집
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    • 제11권1호
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    • pp.87-95
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    • 2011
  • 본 논문에서는 유한요소해석법을 사용하여 역우산형 쌍곡포물선쉘구조물을 해석하고 그 결과를 기존의 막이론에 의한 설계식의 결과치와 비교하였다. 또한 지붕면의 경사도를 달리하며 경사도에 따른 처짐 및 테두리보와 내부경사리브에 작용하는 부재력, 쉘면에 작용하는 막응력의 변화를 살펴보았다. 해석결과 기존의 막응력에 의한 이론해는 테두리보 및 내부경사리브에 대한 부재력을 과대평가하는 반면 막응력에 대해서는 반대로 과소평가를 하고 있는 것으로 나타났다. 유한요소법에 의해 해석한 지붕의 처짐은 경사도가 낮아짐에 따라 급격하게 증가되는 것으로 나타났다.

쌍곡선포물선 대공간 구조물의 측벽개구율에 따른 지붕의 풍압특성 (Characteristic of Wind Pressure Distribution on the Roof of Hyperbolic Paraboloid Spatial Structures)

  • 유장열;유기표
    • 한국공간구조학회논문집
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    • 제13권1호
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    • pp.51-57
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    • 2013
  • There can be diverse causes in the destruction of a large space structure by strong wind such as characteristics of construction materials and changes in internal and external wind pressure of the structure. To evaluate the wind pressure of roof against the large space structure, wind pressure experiment is performed. However, in this wind pressure experiment, peak internal pressure coefficient is set according to the opening of the roof in Korea wind code. In this article, it was tried to identify the change of internal pressure coefficient and the characteristics of wind pressure coefficient acting on the roof by two kinds of opening on the side of the structure with Hyperbolic Paraboloid Spatial Structures roof. When analyzing internal pressure coefficient according to roof shape, it was found that minimum (52%) and maximum (30%~80%) overestimation was made comparing to partial opening type proposed in the current wind load. It is judged that evaluation according to the opening rate of the structure should be made to evaluate the internal pressure coefficient according to load.