• 제목/요약/키워드: the axis of curvature

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강관 코아 합성 중공 기둥의 연성 거동 연구 (Ductility of Circular Hollow Columns with Internal Steel Tube)

  • 강영종;한승룡;박남회
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 춘계학술대회 논문집
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    • pp.183-188
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    • 2002
  • In locations where the cost or concrete is relatively high, or in situations where the weight or concrete members is to be kept to a minimum, it may be economical to use hollow reinforced concrete vertical members. Hollow reinforced concrete columns with low axial load, moderate longitudinal steel percentage, and a reasonably thick wall were found to perform in a ductile manner at the flexural strength, similar to solid columns. However, hollow reinforced concrete columns with high axial load, high longitudinal steel percentage, and a thin wall were found to behave in a brittle manner at the flexural strength, since the neutral axis is forced to occur away from the inside face of the tube towards the section centroid and, as a result, crushing of concrete occurs near the unconfined inside face of the section. If, however, a steel tube is placed near the inside face of a circular hollow column, the column can be expected not to fail in a brittle manner by disintegration of the concrete in the compression zone. Design recommendation and example by moment-curvature analysis program for curvature ductility are presented. Theoretical moment-curvature analysis for reinforced concrete columns, indicating the available flexural strength and ductility, can be conducted providing the stress-strain relation for the concrete and steel are known. In this paper, a unified stress-stain model for confined concrete by Mander is developed for members with circular sections.

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ON THE SCALAR AND DUAL FORMULATIONS OF THE CURVATURE THEORY OF LINE TRAJECTORIES IN THE LORENTZIAN SPACE

  • Ayyildiz, Nihat;Yucesan, Ahmet
    • 대한수학회지
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    • 제43권6호
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    • pp.1339-1355
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    • 2006
  • This paper develops in detail the differential geometry of ruled surfaces from two perspectives, and presents the underlying relations which unite them. Both scalar and dual curvature functions which define the shape of a ruled surface are derived. Explicit formulas are presented for the computation of these functions in both formulations of the differential geometry of ruled surfaces. Also presented is a detailed analysis of the ruled surface which characterizes the shape of a general ruled surface in the same way that osculating circle characterizes locally the shape of a non-null Lorentzian curve.

Long-gauge 광섬유 센서를 이용한 철도교 PSC 거더의 처짐유추 (Deflection Estimation of a PSC Railroad Girder using Long-gauge Fiber Optic Sensors)

  • 정원석;김성일;김남식;이희업
    • 한국철도학회논문집
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    • 제9권4호
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    • pp.467-472
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    • 2006
  • This paper deals with the applicability of long-gauge deformation fiber optic sensors (FOS) to prestressed concrete structures. A main motivation is the desire to monitor the deflection of the railway bridges without intervenes of the signal intensity fluctuations. A 25 m long, 1.8 m deep PSC girder was fabricated compositely with 22 cm thick reinforced concrete deck. Two pairs of 3 m long-gauge sensors are attached to the prestressed concrete girder with parallel topology. Using the relationship between curvature and vortical deflection and the quadratic regression of curvatures at the discrete point, it is possible to extrapolate the deflection curve of the girder. The estimated deflection based on the developed method is compared with the results using conventional strain gauges and LVDTS. It has been demonstrated that the proposed instrumentation technique is capable of estimating the vertical deflection and neutral axis position of the prestressed concrete girder up to weak nonlinear region.

곡률이 변하는 박벽 아치의 3차원 자유진동 및 좌굴해석 (Spatial Free Vibration and Stability Analysis of Thin-Walled Arches with Variable Curvature)

  • 서광진;민병철;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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    • pp.169-176
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    • 1999
  • An improved formulation for spatial stability md free vibration of thin-walled curved beams with variable curvature and non-symmetric cross sections are presented based on the displacement field considering the second order terms of finite semitangential rotations. By introducing Vlasov's assumptions, the total potential energy is derived from the principle of linearized virtual work for a continuum. In this formulation, all displacement parameters and the warping function are defined at the centroid axis so that the coupled terms of bending and torsion are added to the elastic strain energy. Also, the potential energy due to initial stress resultants is consistently derived corresponding to the semitangential rotation and moment. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. In order to illustrate the accuracy and practical usefulness of this study, . numerical solutions for free vibration of arches are presented and compared with resells of other researchers and solutions analyzed by the ABAQUS's shell element.

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Effect of axial load on flexural behaviour of cyclically loaded RC columns

  • Au, F.T.K.;Bai, Z.Z.
    • Computers and Concrete
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    • 제3권4호
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    • pp.261-284
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    • 2006
  • The flexural behaviour of symmetrically reinforced concrete (RC) columns cast of normal- and high-strength concrete under both monotonic and cyclic loading is studied based on an analytical procedure, which employs the actual stress-strain curves and takes into account the stress-path dependence of concrete and steel reinforcement. The analysis is particularly extended into the post-peak stage with large inelastic deformation at various applied axial load level. The effect of axial load on their complete flexural behaviour is then identified based on the results obtained. The axial load is found to have fairly large effect on the flexural behaviour of RC columns under both monotonic and cyclic loading. Such effects are discussed through examination of various aspects including the moment-curvature relationship, moment capacity, flexural ductility, variation of neutral axis depth and steel stress.

주름판 용접 자동화를 위한 토치 회전기구의 개발에 관한 연구 (A Study on Development of Torch Rotating Mechanism for Automation of Welding of Corrugated Membranes)

  • 배강열
    • 한국정밀공학회지
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    • 제32권3호
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    • pp.243-251
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    • 2015
  • In order to develop an automatic system for welding thin steel plates with curvature such as the corrugated membranes of an LNG storage tank, a rotating mechanism should be firstly designed for the torch to easily follow the weld seam with a constant distance and angle. In this study, a torch rotating mechanism consisting of three circular links, two square-type links and a torch link was proposed for automation of the welding process. A weld-seam tracking system with two axis slides and the proposed rotating mechanism was successfully simulated with a dynamic simulation software. A prototype tracking system was manufactured and a tracking test with the system was then carried out. The test results with tracking system showed that the rotating mechanism could be implemented and it was feasible to be used in automatic tracking of weld seam with curvature.

A numerical analysis of the large deflection of an elastoplastic cantilever

  • Wang, B.;Lu, G.;Yu, T.X.
    • Structural Engineering and Mechanics
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    • 제3권2호
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    • pp.163-172
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    • 1995
  • A simple numerical method is applied to calculate the large deflection of a cantilever beam under an elastic-plastic deformation by dividing the deformed axis into a number of small segments. Assuming that each segment can be approximated as a circular arc, the method allows large deflections and plastic deformation to be analyzed. The main interests are the load-deflection relationship, curvature distribution along the beam and the length of the plastic region. The method is proved to be easy and particularly versatile. Comparisons with other studies are given.

시축 변화와 홍채 편심에 따른 정밀모형안의 광학적 성능 분석 (An Analysis of Optical Performance of the Finite Schematic Eye According to Iris Eccentricity and Visual Axis change)

  • 김봉환;한선희
    • 한국안광학회지
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    • 제15권2호
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    • pp.151-154
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    • 2010
  • 목적: 시축과 홍채의 편심에 따른 정밀모형안의 광학적 성능 변화를 분석하고자 하였다. 방법: 기존에 설계되어진 Radial GRIN과 Spherical GRIN 형태의 수정체를 갖는 정밀모형안을 이용하여 홍채의 위치를 코 방향으로 0.5 mm 편심시키고 시축은 절점을 기준으로 코방향으로 $5^{\circ},$ 아래로 $2.5^{\circ}$ 기울여 중심와의 위치에 상측초점이 위치하도록 하였다. 그리고, 실제의 눈과 동일하도록 광학계를 구성하여 광학적 성능 변화를 분석하였다. 결과: 전체적인 수차 분포가 실안의 성능과 비교하여 많은 차이를 나타내고 있었다. 특히, 광학계의 중앙 부위를 통과하는 영역에서 가장 큰 차이를 나타내고 있었다. 그리고, 구면수차가 가장 큰 차이를 나타냈으며, 주변부 굴절력 오차와 상면만곡은 (+) 방향으로 수차분포가 치우쳐져 있었다. 결론: 시축과 홍채 편심을 고려한 실안과 유사한 정밀모형안을 설계하는데 있어서 가장 유념해야 할 부분은, 광학계의 중앙 부위를 통과하는 영역에서의 수차 보정이다. 먼저, 가장 큰 차이를 나타내고 있는 구면수차를 보정하고, (+)방향으로 치우쳐 있는 주변부 굴절력 오차와 상면만곡은 (-)방향으로 이동하도록 고려해야 할 것이다.

Center of Gravity and a Characterization of Parabolas

  • KIM, DONG-SOO;PARK, SOOKHEE;KIM, YOUNG HO
    • Kyungpook Mathematical Journal
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    • 제55권2호
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    • pp.473-484
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    • 2015
  • Archimedes determined the center of gravity of a parabolic section as follows. For a parabolic section between a parabola and any chord AB on the parabola, let us denote by P the point on the parabola where the tangent is parallel to AB and by V the point where the line through P parallel to the axis of the parabola meets the chord AB. Then the center G of gravity of the section lies on PV called the axis of the parabolic section with $PG=\frac{3}{5}PV$. In this paper, we study strictly locally convex plane curves satisfying the above center of gravity properties. As a result, we prove that among strictly locally convex plane curves, those properties characterize parabolas.

에어백 공구 기반의 광학 연마 장치의 미세 힘 제어 구현 (Micro Polishing Force Control of the Polishing Machine with the Airbag Tool)

  • 이호철;이창은;제태진
    • 한국생산제조학회지
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    • 제21권5호
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    • pp.714-719
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    • 2012
  • In this paper, the polishing force monitoring and the control method were implemented for the polishing machine with the airbag tool. Airbag tool has been known to be adaptable to the curvature variation such as the aspherical and the free-form surface. However, it was necessary to control the tool movement of vertical axis also because of the table rotational wobble and vibration. To solve it by the polishing force control, we installed another stepping motor to the z-axis. And the polishing force was measured with the load cell and controlled by the PID Labview controller. A few hundreds gram of the polishing force were well controlled under 0.8 second of the response time and 5% variation. An experiment was done to clean the edge burrs of the micro channel structure of width $87{\mu}m$ using the polishing force control.