• Title/Summary/Keyword: 자유-자유보

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A Note on Hamilton's Principle for a Free-Surface Flow Problem (자유표면파 문제에서의 하밀톤 원리의 적용에 대한 소고)

  • J.W.,Kim;K.J.,Bai
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.3
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    • pp.19-30
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    • 1990
  • This note describes an application of Hamiton's principle to nonlinear free-surface flow problems. Two functionals are constructed based on classical Hamilton's principle with a modification due to the presence of a free surface. As an effort towards the development of an efficient numerical scheme for our problem, we present the following three test results: i) The bounding principles of the eigenvalues for the linear dispersion relation. ii) By assuming steady solitary waves, an approximate relation between the amplitudes and the speeds of solitary waves are derived from the two functionals constructed. Their numerical results are compared with those of Longuet-Higgins & Fenton(1974). iii) The shapes and charicteristics of solitary waves are computed from two sets of functionals by varying the number of total finite elements in the fluid domain.

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Dynamic Stability of a Free-Free Beam with a Tip Rigid Body under a Controlled Pulsating Thrust (끝단 강체를 갖고 맥동 제어추력을 받는 양단 자유보의 동적 안정성)

  • Ryu, Bong-Jo;Lee, Gyu-Seop;Seong, Yun-Gyeong;Choe, Bong-Mun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.1 s.173
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    • pp.232-239
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    • 2000
  • The paper describes the parametric instability of free-free beams subjected to a controlled pulsating follower force. The beam has a tip rigid body not a mass point, and the direction of pulsating follower force is controlled by the direction control sensor. Equations of motion are derived by Hamilton's principle and the instability regions are obtained by finite element formulation. The effects of magnitude, rotary inertia, the distance between free end of the beam and the center of gravity of the rigid body on the instability types and regions are investigated by the change of the constant and periodic part of the follower force.

Finite Difference Numerical Solutions for Isotropic Rectangular Thin Elastic Plates with Three Edges Clamped and the Other Free (등방성 직사각형의 3변 고정 1변 자유 얇은 탄성판에 대한 유한차분법의 수치해)

  • Seo Seung-Nam
    • 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.

A Structural Behaviour Analysis System for Simulating the Construction Steps of Prestressed Concrete Bridges (시공단계를 고려할 수 있는 프리스트레스트 콘크리트 교량 전용 거동해석 시스템)

  • 안경한;김대영;이환우;김덕경;김우종;김철영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.96-101
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    • 1991
  • 프리스트레스트 콘크리트 교량은 콘크리트와 PS 강재의 역학적 장점들을 십분 활용하여 경제적인 단면 구성이 가능한 반면, 서로 다른 두 재료의 복합적인 특성들 즉, 콘크리트의 크리이프 (creep), 건조수축 (shrinkage)과 PS 강재의 이완 (relaxation) 등과 같이 시간에 따라 변화하는 인자들로 인하여 복잡한 구조적 거동을 보여 해석상 어려움이 따른다. 이와같은 복합거동은 시공순서와 시공방법에 의해 시공중의 구조계와 지지조건 등이 변화하는 경우에는 더욱 복잡한 양상을 띄게 된다. 뿐만 아니라 박스 거더와 같은 박벽요소에서는 일반적인 보요소(beam element)로는 나타낼 수 없는 ?(warping)을 무시할 수 없으므로 ? 자유도를 구현할 수 있는 특수한 기능의 구조해석용 프로그램의 개발이 절실히 요망된다. 그리고 시공단계별로 출력되는 많은 양의 수치결과들을 설계와 시공실무자에 지향된 형태로 조합, 변형시켜 그래픽 화면상에 나타내는 후처리 프로그램(Post-processor) 기능도 구조해석용 프로그램의 개발 못지않게 중요하다. 본 연구의 목적은 삼성종합건설과 서울대 토목공학과가 공동으로 ?(warping) 자유도를 포함한 7개의 자유도를 갖는 3차원 보요소를 사용하여 PS 콘크리트의 재료적 특성인 크리이프와 건조수축, 그리고 강재의 이완(relaxation)을 포함한 프리스트레싱력의 손실을 고려할 수 있고 시공 단계별 구조계의 변화 및 지지조건들의 다양한 변화를 효율적으로 모사할 수 있는 프로그램의 개발에 있다.

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Free Vibrations and Buckling Loads of Tapered Beam-Columns of Regular Polygon Cross-section with Constant Volume (일정체적의 정다각형 단면을 갖는 변단면 보-기둥의 자유진동 및 좌굴하중)

  • Lee, Byong Koo
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.587-594
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    • 1996
  • The differential equation governing both the free vibrations and buckling loads of tapered beam-columns of regular polygon cross-section with constant volume were derived and solved numerically. The parabolic and sinusoidl tapers were chosen as the variable depth of cross-section for the tapered beam-column. In numerical examples, the clamped-clamped, hinged-clamped and hinged-hinged end constraints were considered. The variations of frequency parameters and first buckling load parameters with the non-dimensional system parameters are reported in figures, and typical vibrating mode shapes are presented. Also, the configurations of strongest columns were determined.

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Existential Specification Rule and Universalized Conditionalization Rule: Starting from Young-Jung Kim's Work (존재 예화 규칙과 보편 조건문화 규칙 - 김영정 교수의 연구를 출발점으로 -)

  • SunWoo, Hwan
    • Korean Journal of Logic
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    • v.14 no.2
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    • pp.105-121
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    • 2011
  • The late professor Young-Jung Kim advanced a view that Existential Specification Rule (ES Rule) can be understood as a kind of polylemma. In arguing for this view, he also claimed that all propositions containing free variables are universal propositions. In this paper, I argue that his view on free variables incur numerous problems. Moreover, I introduce a new rule of inference called 'Universalized Conditionalization Rule' (UC Rule), so that I can show that his insight about ES Rule can be substantialized without an appeal to his problematic view on free variables. Finally, I show that ES Rule can be directly derived from UC Rule.

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Development of Degenerated Beam Elements Using Higher-Order Displacement Profile (고차(高次) 변위(變位)를 고려(考慮)한 요소(要素)의 해석(解析))

  • Shin, Young Shik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.2 no.3
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    • pp.75-86
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    • 1982
  • The degeneration of two classes of thick beam elements has been conducted, one (DB6) based on the conventional Timoshenko beam assumptions whereas the other (DB7) based on the assumed cubic axial displacement profile. While an adjustable shear correction factor is required for the DB 6 element to compensate for the unrealistic distribution of shear strain across the thickness, the DB 7 element assumes the more realistic quadratic profile of shear strain at the outset. With the plane-stress continuum solution as reference, solutions obtained by these two element models are compared with the analytical Timoshenko solution, the analytical thin beam solution and several available solutions of other existing beam elements. The result indicates that the performance of the higher order beam element DB 7 is consistently superior to any others. This is true for the whole range of aspect ratios of beam, in both static and free vibration analyses.

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The Effect of the Specific Open-inquiry Lesson on the Elementary Student's Science-related Attitude, Science Process Skill and the Instructing Teachers' Cognition about Open-inquiry (자유탐구 수업이 초등학생의 과학적 태도 및 과학탐구능력에 미치는 영향과 지도교사들의 자유탐구에 대한 인식 조사)

  • Lee, Hyeong Cheol;Lee, Jung Hwa
    • Journal of Science Education
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    • v.34 no.2
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    • pp.405-420
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    • 2010
  • The purpose of this study was to contrive the specific teaching plans based on the frame of 2007 revised science curriculum for applying open-inquiry lesson in real education situation and to research the effects of open-inquiry lesson on the student's science-related attitude, science process skill, and to investigate instructing teachers' cognition about open-inquiry. For this study, two fifth grade classes were chosen, one class was the experimental group, who were taught by open-inquiry based lesson, and another was the comparative group, who were taught by traditional method based lesson. The findings of this study were as follows: After open-inquiry lesson, the experimental group students came to enjoy open-inquiry learning and had the positive thought about it. After open-inquiry lesson, the experimental group marked higher mean score than the comparative group in science-related attitude's field but didn't showed the meaningful difference. On the other hand, in science process skill's field, the experimental group showed the significant higher improvement than the comparative one, especially in the subordinate area of basic science process skill. Finally, teachers who instructed students open-inquiry lesson thought open-inquiry lesson is the self-directed problem solving learning which raise the student's science process skill and interest. And the teachers thought the obstacles to instruct open-inquiry lesson are the lack of the student's cognition about open-inquiry and the insufficient circumstance for open-inquiry lesson. Therefore the teachers argued that the prerequisite for settling open-inquiry lesson successfully is to develope open-inquiry lesson curricula and teaching materials.

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Behavior of Horizontally Curved I-Girder Bridges under Seismic Loading (지진하중하에서의 수평곡선I형교의 거동특성)

  • Yoon, Ki Yong;Sung, Ik Hyun;Choi, Jin Yu;Kang, Young Jong
    • Journal of Korean Society of Steel Construction
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    • v.14 no.6
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    • pp.793-802
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    • 2002
  • This study presented a finite element formulation for the dynamic analysis of horizontally curved I-girder bridges. The stiffness and mass matrices of the curved and the straight beam elements are formulated. Each node of both elements has seven degrees of freedom, including the warping degree of freedom. The curved beam element is derived from Kang and Yoo's theory of thin-walled curved beams. The computer program EQCVB has been developed to perform dynamic analyses of various horizontally curved I-girder bridges. The Gupta method is used to solve the eigenvalue problem efficiently, while the Wilson-${\theta}$ method is used for the seismic analysis. The efficiency of EQCVB is demonstrated by comparing solution time with ABAQUS. Using EQCVB, the study is applied to investigate the dynamic behavior of horizontally curved I-girder bridges under seismic loading.

Static Aeroelastic Analysis of Hingeless Rotor System in Hover Using Free-Wake Method (자유후류기법을 이용한 무힌지 로터 시스템의 정지비행시 정적 공탄성 해석)

  • Yoo, Seung-Jae;Lim, In-Gyu;Lee, In;Kim, Do-Hyung;Kim, Doeg-Kwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.2
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    • pp.156-162
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    • 2008
  • The static aeroelastic analysis of composite hingeless rotor blades in hover was performed using free-wake method. Large deflection beam theory was applied to analyze blade motions as a one-dimension beam. Anisotropic beam theory was applied to perform a cross-sectional analysis for composite rotor blades. Aerodynamic loads were calculated through a three-dimensional aerodynamic model which is based on the unsteady vortex lattice method. The wake geometry in hover was described using a time-marching free-wake method. Numerical results of the steady-state deflections for the composite hingeless rotor blades were presented and compared with those results based on two-dimensional quasi-steady strip theory and prescribed wake method. It was shown that wakes affect the steady-state deflections.