• Title/Summary/Keyword: paraboloid

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Wind pressures on a large span canopy roof

  • Rizzo, Fabio;Sepe, Vincenzo;Ricciardelli, Francesco;Avossa, Alberto Maria
    • Wind and Structures
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    • v.30 no.3
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    • pp.299-316
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    • 2020
  • Based on wind tunnel tests, this paper investigates the aerodynamic behavior of a large span canopy roof with elliptical plan and hyperbolic paraboloid shape. The statistics of pressure coefficients and the peak factor distributions are calculated for the top and bottom faces of the roof, and the Gaussian or non-Gaussian characteristics of the pressure time-histories in different areas of the roof are discussed. The cross-correlation of pressures at different positions on the roof, and between the top and bottom faces is also investigated. Combination factors are also evaluated to take into account the extreme values of net loads, relevant to the structural design of canopies.

구조신뢰성 해석방법의 고찰

  • 양영순;서용석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.04a
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    • pp.109-116
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    • 1993
  • 구조물의 신뢰도를 평가하는 방법을 살펴보고 각각의 장,단점을 비교한다. 각 방법의 정확성을 평가하는 기준으로 Crude Monte Carlo(CMC)방법을 택하여, Importance Sampling(IS)방법, 그리고 Directional Sampling(DS)방법을 살펴 보고, 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 반웅웅답법(Response surface method, RSM)을 살펴본다. 각 방법의 효율성 특히 적용 가능성을 예제를 통해 해석한 결과 추출법의 경우는 DS 방법이, 그리고 근사방법에서는 RSM 방법이 효율적임을 알 수 있었다.

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Behavior of RC Gabled Hyperbolic Paraboloid Shell (RC 쌍곡포물선 내림마루형식 지붕 쉘의 거동)

  • 민창식;이재석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.207-214
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    • 1995
  • Muller-Scordelis RC Gabled Hyperbolic Paraboloid (HP) shell is divided by 40 40 mesh and analyzed using a finite element computer program which was developed by Mahamoud and Gupta and migrated to a Cray Y-U 00 at SERI. The results are compared with membrane theory and Muller-Scordelis's results. Comparing with Muller-Scordelis's result it shows that good agreements between two analyses, except a discrepancy in the normal deflections of the crown beam. The behavior of the crown beam is quite sensitive and needs further study. The analysis shows that Gabled HP shells do not behave as the typical shells according to the membrane theory. To design such Gabled HP shells we rather use a finite element analysis which simulates realistically membrane and honing actions of the shells.

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Defocus Study of a Novel Optical Antenna Illuminated by a Radial Radiation Fiber Laser

  • Jiang, Ping;Yang, Huajun;Xie, Kang;Yu, Mingyin;Mao, Shengqian
    • Journal of the Optical Society of Korea
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    • v.18 no.5
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    • pp.485-494
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    • 2014
  • A novel antenna with ellipsoid-paraboloid surfaces configuration is designed for matching the incident radial radiation fiber laser distribution for maximum transmission efficiency. The on-axial and off-axial defocus effects on the optical antenna system, resulting in energy loss, are analyzed in detail. Knowledge of the effects of those defocuses on beam divergence, aberration and antenna transmission efficiency is of great importance to the long range communication systems.

포물면경 반사기 안테나의 Defocusing에 관한 연구

  • 한석태;홍의석;오영환
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1986.04a
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    • pp.184-188
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    • 1986
  • The gain variations of paraboloid reflector antenna with an axially and perpendicularly defocused feed are investigated using the Huygens-Fresnel Principle. The theoretical calculations and the experimental for the reflector antenna with an axially defocused feed are compared. Although there were about 3dB difference between two results in a range from focal point to 2.0 wave-length, we could know that it was property approached to theoretical results. However, when the magnitude of defocusing is increased, the differences are also increased because of the influence by a weak received signal and interference of external noises. In addition, it can be shown that gain variations are acutely decreased more in perpendicular defocusing than in axial defocusing in the paraboloid reflector antenna.

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Ultimate behavior of RC hyperbolic paraboloid saddle shell

  • Min, Chang-Shik
    • Structural Engineering and Mechanics
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    • v.5 no.5
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    • pp.507-521
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    • 1997
  • The ultimate behavior of a reinforced concrete hyperbolic paraboloid saddle shell under uniformly distributed vertical load is investigated using an inelastic, large displacement finite-element program originally developed at North Carolina State University. Unlike with the author's previous study which shows that the saddle shell possesses a tremendous capacity to redistribute the stresses, introducing tension stiffening in the model the cracks developed are no longer through cracks and formed as primarily bending cracks. Even though with small tension stiffening effect, the behavior of the shell is changed markedly from the one without tension stiffening effect. The load-deflection curves are straight and the slope of the curves is quite steep and remains unchanged with varying the tension stiffening parameters. The failure of the shell took place quite suddenly in a cantilever mode initiated by a formation of yield lines in a direction parallel to the support-to-support diagonal. The higher the tension stiffening parameters the higher is the ultimate load. The present study shows that the ultimate behavior of the shell primarily depends on the concrete tensile characteristics, such as tensile strength (before cracking) and the effective tension stiffening (after cracking). As the concrete characteristics would vary over the life of the shell, a degree of uncertainty is involved in deciding a specified ultimate strength of the saddle shell studied. By the present study, however, the overload factors based on ACI 318-95 are larger than unity for all the cases studied except that the tension stiffening parameter is weak by 3 with and without the large displacement effect, which shows that the Lin-Scordelis saddle shell studied here is at least safe.

Characteristic of Wind Pressure Distribution on the Roof of Hyperbolic Paraboloid Spatial Structures (쌍곡포물선 대공간구조물의 지붕 풍압계수분포 특성)

  • You, Ki-Pyo;Kim, Young-Moon
    • Journal of Korean Association for Spatial Structures
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    • v.12 no.3
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    • pp.47-54
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    • 2012
  • The roof surface of spatial structures is often damaged or destroyed because of its light weight roof structure and materials. Many of large scale stadiums have roof structure framed with steel truss or stay cable and wrapped or covered with membrane material Teflon, and this membrane material is easily damaged and its loss is quite serious. Through such examples, it was found that the studies on wind proof design of roofs of large space structures were not sufficiently made. This study conducted wind pressure experiment and fluid analysis in order to examine the aerodynamic characteristic of the roof shape of hyperbolic paraboloid spatial structures. Although the biggest minimum peak wind pressure coefficient was shown in the edges of the roof in the wind origin direction, it decreases with the advancement to the longitudinal direction of the roof.

Design versus Ultimate Behavior of Reinforced Concrete Hyperbolic Paraboloid Saddle Shell (철근콘크리트 쌍곡 '안장' 쉘의 설계 예와 극한거동)

  • Min, Chang Shik;Gupta, Ajaya K.
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.4
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    • pp.807-814
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    • 1994
  • One case of pointwise limit design is performed for a hyperbolic paraboloid saddle shell(originally used by the Lin-Scordelis) to check the design strength against a consistent design loads, therefore, to verify the adequacy of current design practice for reinforced concrete shells. The design method which was based on stresses from membrane analysis in conjunction with pointwise limit state design equations shows a good performance, which means that the design method gives a lower bound on the ultimate load. This shows the adequacy of the current practice at least for this saddle shell case studied. To generalize the conclusion many more designs-analyses are performed with different shell configurations.

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Aerodynamic stability analysis of geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction

  • Xu, Yun-ping;Zheng, Zhou-lian;Liu, Chang-jiang;Wu, Kui;Song, Wei-ju
    • Wind and Structures
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    • v.26 no.6
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    • pp.355-367
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    • 2018
  • This paper studies the aerodynamic stability of a tensioned, geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction. Considering flow separation, the wind field around membrane structure is simulated as the superposition of a uniform flow and a continuous vortex layer. By the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics, aerodynamic pressure acting on membrane surface can be determined. And based on the large amplitude theory of membrane and D'Alembert's principle, interaction governing equations of wind-structure are established. Then, under the circumstance of single-mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction governing equations into a system of second-order nonlinear differential equation with constant coefficients. Through judging the frequency characteristic of the system characteristic equation, the critical velocity of divergence instability is determined. Different parameter analysis shows that the orthotropy, geometrical nonlinearity and scantling of structure is significant for preventing destructive aerodynamic instability in membrane structures. Compared to the model without considering flow separation, it's basically consistent about the divergence instability regularities in the flow separation model.

DPR System for Projection Displays - Today and Tomorrow

  • Li, Kenneth
    • 한국정보디스플레이학회:학술대회논문집
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    • 2008.10a
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    • pp.667-669
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    • 2008
  • With the advancements or LEDs and lasers in projection display applications, arc lamps still provide the most cost effective solution to high brightness display systems. When will arc lamps become obsolete, will be of great importance today and tomorrow? Given the fact that traditional elliptical and parabolic reflectors had been around for decades; Wavien's new dual paraboloid reflector (DPR) technology with its unique imaging property enhances various aspects of the arc lamp performance will shed some light to this question. In this talk, various applications that are feasible today and anticipated needs of tomorrow will be presented.

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