• Journal of Power System Engineering
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• v.13 no.4
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• pp.49-55
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• 2009

복합재 적층판의 자유단 근처에서 나타나는 층간 응력의 집중 현상을 층간면 효과를 고려해 해석하였다. 복합재 적층판 내부의 임의의 위치에서 3차원 평형방정식을 만족시키기 위해 렉니츠키 응력함수를 도입하였으며, 가상일의 원리를 이용하여 지배방정식을 유도하였다. 주어진 응력함수를 이용하여 구한 3차원 응력들은 복합재 적층판의 아래 위 면뿐만 아니라 자유단에서 하중자유조건을 잘 만족한다. 기하학적 불연속성 때문에 복합재 적층판의 자유단에서는 응력의 특이가 발생하지만, 층간면 효과를 고려하게 되면 층간응력의 집중현상을 정확하게 해석할 수 있다. 자유단에서 발생한 층간응력의 크기를 보면, 층간면 효과를 고려할 경우, 응력특이 효과가 많이 줄어드는 것을 관찰할 수 있다. 본 연구에서 주어진 층간면에서의 정확한 응력 해석은 복합재 적층판의 강도설계를 수행하는 초기 설계 툴로 사용할 수 있다.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.17 no.3 s.120
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• pp.220-225
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• 2007

Free vibration analysis using the method of NDIF (non-dimensional dynamic influence function), which was developed by the author, is extended to arbitrarily shaped polygonal plates with free edges. Local Cartesian coordinate systems are employed to apply the free boundary condition to nodes distributed along the edges of the plate of interest. Furthermore, a new way for applying the free boundary condition to nodes located at corners of the plate is for the first time introduced by considering the phenomenon of stress concentration at the corners. Two case studies show that the proposed method is valid and accurate when the eigenvalues by the proposed method are compared to those by FEM(ANSYS).

• Journal of the Computational Structural Engineering Institute of Korea
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• v.28 no.5
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• pp.497-502
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• 2015

In this paper, a stress function-based approach was proposed to analyze the reduction of free-edge peeling stress in smart composite laminates using piezoelectric actuator under bending load. Electro-mechanically coupled governing equation was obtained by complimentary virtual work principle. The stress state was solved by the generalized eigenvalue procedure. The free-edge peeling stress of smart composite laminates was reduced by the piezoelectric actuation. The reduction rate of peeling stress in cross-ply composite laminate is larger than that in angle ply composite laminate.

• Journal of The Korean Association For Science Education
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• v.32 no.4
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• pp.686-702
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• 2012

This study investigated the impact of grouping methods on free inquiry implementation through the use of mixed research methods. Some 113 7th graders and 2 science teachers in two middle schools participated in this study. The 113 students who participated in this study were grouped by homogeneity and heterogeneity according to scientific inquiry skills and personality types respectively, and performed free inquiry activities on the same subject for three weeks. Data were collected by means of a test on science inquiry skills and from focus group interviews with 36 students and in-depth interviews with 2 teachers. The quantitative results of this study showed that homogeneous grouping was more effective than heterogeneous grouping in improvement of scientific inquiry skills. Meanwhile, the qualitative results revealed both the students and teachers perceived that it was effective to compose a small group according to their affective quality than their cognitive quality. Particularly, most of the students preferred the method of small group from the personality types. Some students and both teachers proposed that it is necessary to collect enough information on students and to use them in mixture with the method of small group according to the affective quality.

• Journal of Korean Society of Steel Construction
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• v.17 no.6 s.79
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• pp.699-705
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• 2005

This paper investigates critical loads of tapered cantilever columns with a tip mass, subjected to a follower force. The linearly tapered solid rectangular cross-sections are adopted as the column taper. The differential equation governing free vibrations of such columns, also called Beck's columns, is derived using the Bernoulli-Euler beam theory. Both divergence and flutter critical loads are calculated from the load-frequency curves that are obtained by solving the differential equation. The critical loads are presented as functions of various non-dimensional system parameters, namely, the taper type, the subtangential parameter, and the mass ratio.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 1991.04a
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• pp.284-289
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• 1991

3차원 자유곡면을 볼엔드밀을 사용하여 금형가공을 할 경우, 가공면에는 공구경로에 따른 흔적과 NC공작기계의 직선보간시 발생되는 가공오차에 의하여 공작물 상에 가공오차가 필연적으로 발생되게 된다. 따라서 공작기계상에 서 금형가공을 수행한 후에는 가공오차를 제거하고 금형의 표면을 매끄럽게 하기위하여 연마작업이 픽수적으로 요구 되고있다. 본 연구에서는 3차원 자유곡면으로 이루어진 금형의 연마가공에 로봇을 도입하고, 이를 위한 로봇 작업단의 경로 제어시비전문가라 할지라도 CAM시스템으로 부터 금형 가공용 NC공작기계의 공구경로데이타(Cutter Location Data)를 받으면 자유곡면을 모형화한 후 자유곡면의 법선벡터와 연마로봇 작업단의 위치벡터를 자동으로 생성하고, 그에 따른 로봇의 작업명령을 자동으로 생성할 수 있는 CAMPoli 오프라인 로봇 프로그래밍 시스템을 개발하였다. CAMPoli시스템은 마이크로소프트사의 WINDOWS/386 오퍼레이팅 시스템을 이용하여 IBM-PC/386 상에서 개발되었으며 그주요한 내용들은 다음과 같다. i) CAM시스템으로 부터 입력된 CL-데이타로부터 연마면에 대한 자유곡면을 생성하고, ii) 연마공정의 데이타베이스에 기초한 연마면수의 지정 및 변경을 수행하고, iii) 자유곡면 연마를 위한 로봇 작업단의 위치벡터와 법선벡터를 계산하고, iv) 기존의 로봇언어를 이용한 오프라인 소스프로그램(Source Program)을 생성 및 그래픽 시뮬레이션 하는 과정으로 구축되었다.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.18 no.3
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• pp.225-240
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• 2006

In order to calculate bending moments of rectangular plates with three edges clamped the other free subjected to both a uniform load and a triangular load, a finite difference equation for the non-dimensional governing equation are presented and numerical solutions with different aspect ratios and/or number of grid points are analyzed. The finite difference solutions are obtained by use of grid points up to 11,520 and the optimum grid points according to aspect ratios of the plate are presented as well. The obtained numerical solutions are shown to satisfy the given x moment boundary condition at the free edge, which can not be satisfied in Levy's analytical solutions and peculiar behaviour of the calculated moments is observed around the corners between the free edge and fixed ones. The numerical solutions of bending moments subjected to both a uniform load and a triangular load are compared with the corresponding analytical solutions which are shown in very good agreement on the solution domain except the neighborhood of the free edge.

• Composites Research
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• v.14 no.1
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• pp.8-14
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• 2001

A simplified method for determining the three mode(I, II, III) components of the strain energy release rate of free-edge delaminations in composite laminates is proposed. The interlaminar stresses are evaluated using the interface moment and the interface shear forces which are obtained from the equilibrium equations at the interface between the adjacent layers. Deformation of an edge-delaminated laminate is analysed by using a generalized quasi-three dimensional classical laminated plate theory. The analysis provides closed-form expression for the three components of the strain energy release rate. The analyses are performed for composite laminates subjected to uniaxial tension, with free-edge delaminations located symmetrically and asymmetrically with respect to the laminate midplane. The analysis results agreed with a finite element solution using the virtual crack closure technique.

• Transactions of the Korean Society of Mechanical Engineers B
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• v.20 no.6
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• pp.2014-2022
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• 1996

Flow characteristics of the wake behind a finite circular cylinder(FC) mounted on a flat plate was experimentally investigated. Three finite cylinder models having aspect ratio (length to diameter ratio, L/D) of 6,10 and 13 were tested in this study. Wake velocity was measured by a hot-wire anemometry at Reynolds number of 20,000, and the results were compared with those of two-dimensional circular cylinder. As a result, the free-end effect on the wake structure becomes more dominant with decreasing the aspect ratio(L/D) of the finite cylinder. Invisid flow entrained into the wake region decreases the turbulence intensity and periodicity of the vortex shedding due to existence of the free end. From spectral analysis and cross correlation of the velocity signals, vortices having 24Hz frequency characteristics are found in the down wash flow just behind the free end. There exists very complicated flow near the free end due to interaction between the entrained flow and streamwise vortices. Vortex formation region is destroyed significantly in the near wake and shows quite different wake structures from those of 2-D cylinder.

• Proceedings of the KSME Conference
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• 2003.04a
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• pp.740-745
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• 2003

The so-called boundary node method (or NDIF method) that was developed by the authors has been extended for free vibration analysis of arbitrarily shaped plates with free edges. Since the proposed method is based on the collocation method, no integration procedure is needed on boundary edges of the plates and only a small amount of numerical calculation is required. A special coordinate transformation has been devised to consider the complicated free boundary conditions at boundary nodes. By the use of the special coordinate transformation, the radius of curvature involved in the free boundary conditions can be successfully dealt with. Finally, verification examples show that natural frequencies obtained by the present method agree well with those given by exact method and other analytical methods.