• Title/Summary/Keyword: Curved beams

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Shape Design Sensitivity Analysis for Stability of Elastic Structures (탄성 구조물의 안정성을 고려한 형상설계민감도해석)

  • Choi, Joo-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.1 s.244
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    • pp.76-83
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    • 2006
  • This paper addresses the method for the shape design sensitivity analysis of the buckling load in the continuous elastic body. The sensitivity formula for critical load is analytically derived and expressed in terms of shape variation, based on the continuum formulation of the stability problem. Though the buckling problem is more efficiently solved by the structural elements such as beam and shell, the elastic solids are considered in this paper because the solid elements can be used in general for any kind of structures whether they are thick or thin. The initial stress and buckling analysis is carried out by the commercial analysis code ANSYS. The sensitivity is computed by using the mathematical package MATLAB using the results of ANSYS. Several problems including straight and curved beams under compressive load, ring under pressure load, thin-walled section and bottle shaped column are chosen to illustrate the efficiency of the presented method.

The Effect of Diaphragm on the Distortion of Box Girders (상자형 거더의 격벽이 뒤틀림에 미치는 영향)

  • 황선호;홍성수;최진유;강영종
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.335-342
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    • 1999
  • It is well known that l-girders are weak in torsion and it might be more economical to use a box girder, which has great torsional rigidity. The use of box beams does, however, present a potential problem in that cross-sectional distortions can induce large warping normal stresses and transverse bending stress. Accordingly a sufficient number of diaphragms are provided to make the distortional effects minimal. In engineering practice, diaphragms are spaced in 5m intervals without reasonable basis. It is considered to be noneconomical design to the almost design engineers, and it may produce the unsafe structural systems in special cases such as curved bridges with large initial curvature. These problems have not been solved for the lack of adequate tools of structural analysis. In this study, on the basis of the parametric studies, the design formulas for the distortional warping stress and the reasonable diaphragm spacing of box girder were presented.

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Ion Beam Induced Micro/Nano Fabrication: Shape Fabrication (이온빔을 이용한 마이크로/나노 가공: 형상가공)

  • Kim, Heung-Bae;Hobler, Gerhard
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.10
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    • pp.109-116
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    • 2007
  • Focused ion beams are a potential tool for micro/nano structure fabrication while several problems still have to be overcome. Redeposition of sputtered atoms limits the accurate fabrication of micro/nano structures. The challenge lies in accurately controlling the focused ion beam to fabricate various arbitrary curved shapes. In this paper a basic approach for the focused ion beam induced direct fabricate of fundamental features is presented. This approach is based on the topography simulation which naturally considers the redeposition of sputtered atoms and sputtered yield changes. Fundamental features such as trapezoidal, circular and triangular were fabricated with this approach using single or multiple pass box milling. The beam diameter(FWHM) and maximum current density are 68 nm and $0.8 A/cm^2$, respectively. The experimental investigations show that the fabricated shape is well suited for the pre-designed fundamental features. The characteristics of ion beam induced direct fabrication and shape formation will be discussed.

Shape Design Sensitivity Analysis for Stability of Elastic Structure (탄성 구조물의 안정성을 고려한 형상설계 민감도해석)

  • Choi Joo-Ho;Yang Wook-Jin
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.841-846
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    • 2006
  • This paper addresses the method for the shape design sensitivity analysis of the buckling load in the continuous elastic body. The sensitivity formula for critical load is analytically derived and expressed in terms of shape variation, based on the continuum formulation of the stability problem. Though the buckling problem is more efficiently solved by the structural elements such as beam and shell, the elastic solids are considered in this paper because the solid elements can be used in general for any kind of structures whether they are thick or thin. The initial stress and buckling analysis is carried out by the commercial analysis code ANSYS. The sensitivity is computed by using the mathematical package MATLAB using the results of ANSYS. Several problems including straight and curved beams under compressive load, ring under pressure load, thin-walled section are chosen to illustrate the efficiency of the presented method.

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A Study On The Construction Methods In PSC Rail Beams (PSC 궤도빔의 가설공법에 대한 검토)

  • Ahn, Yong-Mo
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.1293-1299
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    • 2010
  • Daegu urban railroad line 3 is introduced with straddle-type monorail system within the country at the first time. This system is long line with 24km in total length which has not the results of construction in Korea. The rail beam of monorail bridge to be constructed/ installed in the city is adopted on the basis of the PSC rail beam. It is required to apply the steel rail beam at rapid/ curved line parts or location to be required the long span bridge as passing river and intersection. The composition of span bridge is various and the height of bridge is change with each section and exist the different curve radius due to all section is passes in the city. The rail beam shall be considered the ground conditions and then consider the construction methods. It is analyzed to construction period of PSC rail beam to be linked with period of infrastructure construction and construction of steel rail beam, structure construction of station etc. It is compared to crane construction methods and launching girder as alternative construction methods and propose to upper construction methods which is superior in economic and construction.

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A Study on the Characteristics on Ultra Precision Machining of Al6061-T651 (Al6061-T651의 초정밀 절삭특성에 관한 연구)

  • Kim, Geon-Hee;Yang, Sun-Cheol;Park, Yo-Chang
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.4 no.1
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    • pp.43-48
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    • 2005
  • This paper is described about the technique of ultra-precision machining for an aerospace aspheric mirror. The reflection mirror system generates parallel beams inside a thermal vacuum chamber. A 200mm diameter aspheric mirror was fabricated by SPDTM. Aluminum alloy as mirror substrates is known to be easily machined, but not polishable due to its ductility. Aspheric large reflector without a polishing process, the surface roughness of 10nm Ra, and the form error of ${\lambda}/2$ (${\lambda}$=632.8nm) for reference curved surface 200mm has been required. The purpose of this research is to find the optimum machining conditions for cutting reflector using Al6061-T651 and apply the SPDTM technique to the manufacturing of ultra precision optical components of Al-alloy aspheric reflector.

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Application of Numerical Differentiations in Free Vibration Analysis (자유진동 해석에서 수치미분의 응용)

  • 이병구;안대순;강희종;김권식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.814-818
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    • 2003
  • This paper deals with the application of numerical differentiation in free vibration analysis. In the free vibration analysis, the derivative values of the given function are certainly used in calculation of structural parameters. For deriving the derivative values, both the time and labor are needed when the structures consist of non-linear geometries such as arches or curved beams. From this viewpoint, the numerical differentiation scheme is applied into the free vibration analysis. The numerical results obtained from the numerical differentiations are agreed very well with those obtained from the exact derivatives by analytical method. It is expected that the numerical differentiations can be utilized practically in the free vibration analysis.

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Design, Simulation and Fabrication of a Quadstable Monolithic Mechanism (4 중 안정성 일체형 메커니즘의 설계, 해석 및 제작)

  • Han, Jeong-Sam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.5
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    • pp.617-624
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    • 2007
  • This paper presents a novel quadstable monolithic mechanism (QsMM) which provides four stable equilibrium positions within its operation range. The quadstable mechanism has been realized from the use of both X- and Y-directional bistable structures which use curved snapping beams. A millimeter-scale brass mechanism was fabricated by ultra-precision milling to test the quadstability and the displacement-load behavior, and the prototype clearly demonstrated four distinct stable positions in its millimeter-scale planar operation. We discuss the design concept, finite element simulation for static and transient responses, fabrication by ultra-precision milling, and experimental measurement of the proposed quadstable mechanism.

Application of Numerical Differentiation in Structural Analysis (구조해석에서 수치미분의 적용)

  • 김영일;신성철;이태은;이병구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.53-58
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    • 2001
  • This paper deals with the application of numerical differentiation in the structural analysis. In the structural analysis, the derivative values of the given function are sometimes used in calculation of structural behaviors. For calculating the derivative values, both the time and labor are needed when the structures consist of non-linear geometries such as arches or curved beams. From this viewpoint the numerical differentiation scheme is applied into the structural analysis. The numerical results obtained from the numerical differentiation are agreed very well with those obtained from the exact derivatives by analytical method. It is expected that the numerical differentiation can be utilized practically in the structural analysis.

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Spatial Stability of Non-Symmetric Thin-Walled Curved Beams I : Aanlytical Approach (비대칭 단면을 갖는 박벽 곡선보의 안정성해석 I: 해석적 방법)

  • 민병철;김문영
    • Computational Structural Engineering
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    • v.11 no.4
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    • pp.239-251
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    • 1998
  • 본 연구에서는 비대칭 박벽단면을 갖는 곡선보의 안정성해석을 수행할 수 있는 이론 및 엄밀해를 제시하기 위하여, 3차원 연속체로부터 유도된 평형방정식으로부터 선형화된 가상일의 원리를 적용하였다. 박벽단면의 구속된 ?(warping)과 곡률효과를 고려하고 유한한 회전각의 2차항을 포함하는 곡선보의 변위장을 도입하여 단면에 대해 적분함으로써 도심축에 대한 박벽 곡선보의 총포텐셜에너지를 유도하였다. 또한, 단순지지되고 일축대칭 단면을 갖는 박벽원형 곡선보의 면내 및 면외좌굴에 대한 엄밀해를 유도하기 위하여, 면내에 대해서는 균일압축을 받는 원형아치의 역대칭 좌굴모드에 대한 좌굴하중을 유도하고 면외좌굴에 대해서는 균일압축 및 순수휨을 받는 아치의 처짐함수를 가정하여 곡선보의 횡좌굴하중에 대한 일반해를 제시하였다.

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