• KSCE Journal of Civil and Environmental Engineering Research
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• v.6 no.2
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• pp.121-131
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• 1986

The stiffness matrix of circularly curved frame elements including the warping effects is formulated by the solutions of vlasov's differential equations, and the procedure for the elastic static analysis of curved girder systems by the displacement method is presented. The validity of this method has been demonstrated by comparing the analysis results with other solutions. And if the tangential lines of the two frame element axes connected at any nodal point coincide, the transformation to the global coordinate system can be omitted when we analyze the structures consisting of circularly curved elements. The theory introduced in this thesis can be applied with sufficient accuracy to the structures built up with horizontally circular curved frame elements which have closed or open cross sections and are symmetric to the axis perpendicular to the plane of the curvature, such as prestressed concrete box girder bridges.

• Korean Journal of Computational Design and Engineering
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• v.9 no.2
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• pp.158-163
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• 2004

Curve tessellation, which generates a sequence of points from a curve, is very important for curve rendering on a computer screen and for NC machining. For the most case the sequence of discrete points is used rather than a continuous curve. This paper deals with a method of tessellation by calculating the maximal deviation of a curve. The maximal deviation condition is introduced to find the point with the maximal deviation. Our approach has two merits. One is that it guarantees satisfaction of a given tolerance, and the other is that it can be applied in not only a polynomial curve but its offset. Especially the point sequence generated from an original curve can cause over-cutting in NC machining. This problem can be solved by using the point sequence generated from the offset curve. The proposed method can be applied for high-accuracy curve tessellation and NC tool-path generation.

• Journal of the Korean Society of Safety
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• v.17 no.1
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• pp.99-104
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• 2002

DQM(differential quadrature method) is applied to computation of eigenvalues of the equations of motion governing the free in-plane vibration for circular curved beams including mid-surface extension and the effects of rotatory inertia. Fundamental frequencies are calculated for the members with various end conditions and opening angles. The results are compared with numerical solutions by other methods for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.11 no.8
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• pp.2734-2740
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• 2010

The free in-plane vibration of asymmetric circular curved beams with varying cross-section is analyzed by the differential quadrature method (DQM) neglecting transverse shearing deformation. Natural frequencies are calculated for the beams with various opening angles and boundary conditions. Results obtained by the DQM are compared with available results by other methods in the literature. It is found that the DQM gives the good accuracy even with a small number of grid points.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.24 no.10 s.181
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• pp.2637-2645
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• 2000

We propose a new one-dimensional theory for thin-walled curved box beams having rectangular cross sections, in which torsional, out-of-plane bending, warping and distortional deformations are coupled. The major difference between the present theory and existing theories lies in that the present theory takes into account additional distortion as well as warping. To verify the present theory, a standard finite element based on the present theory is developed and used for numerical analysis. A couple of numerical examples indeed confirm that the consideration of warping and distortional deformations is very important.

• Korean Journal of Computational Design and Engineering
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• v.3 no.2
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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.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 1995.04b
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• pp.153-156
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• 1995

본 논문은 gouging이 있는 free-formed parametric surface 모델로부터 간섭영역을 찾아 공구간섭을 검사하고 이를 제거하여 실시간으로 3축 NC가공을 할 수 있는 방법을 제안한다. 제안되는 방법은 parametri surface로부터 cartesian 경로를 따라 offset surface를 구하고 정의된 가공평면과의 교차곡선을 구하는 것에서 부터 시작한다. 교차곡선으로부터간섭 loop의 형성 여부를 검사함으로써 간섭영역을 찾을 수 있고 간섭을 제거하기 위해 간섭영역내의 모든 CC점이 공구 중심으로 부터 최소한 공구를 벗어나 위치하도록 공구를 공구의 측방향으로 이동시켰다. 이 논문은 free-formed surface의 gouging 부위에서 발생하는 공구간섭을 신속히 제거하고 CL data를 생성하여 실시간으로 3축 NC 가공을 하기 위한 하나의 접근이다.

• Proceedings of the Korean Society of Computer Information Conference
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• 2014.07a
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• pp.431-432
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• 2014

본 논문 에서는 3차원 튜브 형태의 구조를 3차원 좌표를 갖는 점집합으로 추출했을 때, 이 점 집합에서 튜브를 관통하는 단위 벡터 및 방향성(orientation)을 구하는 알고리즘을 제안하였다. 이 알고리즘은 3차원 좌표를 정사영시킴으로써 2차원으로 차수를 낮추고, 그 처리를 간단하게 하였다. 또 내부를 구성하는 최대 넓이 폐곡선을 구성하는 점을 선택하는 방법을 제안하였다. 실험에서 제안한 방법은 정규화 된 튜브를 처리했을 때 중심(centroid) 및 방향성(orientation)을 의도한 값과 거의 동일하게 얻을 수 있었다.

• Proceedings of the Korea Water Resources Association Conference
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• 2010.05a
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• pp.23-27
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• 2010

인공수로 내 효율적인 물 순환 시스템 운영을 위해서는 지속적인 유량공급을 통해 순환흐름을 유도하는 것이 매우 중요하다. 따라서 수로 내 적절한 유입부 위치를 결정하고 계획 유입유량에 따른 수질개선효과 및 물 순환주기를 분석하는 연구가 대두되고 있어, 모형을 통한 이론적인 예측 및 모형실험을 통한 검증이 필요한 실정이다. 본 연구에서는 농도-pH 지표곡선을 이용하여 시간에 따른 수로 내 농도변화로 물 순환주기를 분석하였다. 수로 내 설치된 유입부에 평면상 위치변화를 주어 순환흐름에 적합한 유입부 위치를 제시할 수 있었으며, 농도변화가 없어지는 시점을 통해 최소 물 순환주기를 산정할 수 있었다.

• Journal of the Korean Society of Safety
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• v.13 no.3
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• pp.163-170
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• 1998

The differential quadrature method (D.Q.M.) is applied to computation of eigenvalues of small-amplitude free vibration for horizontally curved beams including a warping contribution. Fundamental frequencies are calculated for a single-span, curved, wide-flange beam with both ends simply supported or clamped, or simply supported-clamped end conditions. The results are compared with existing exact solutions and numerical solutions by other methods for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.