• 제목/요약/키워드: plane curvature

검색결과 236건 처리시간 0.031초

사각형 외팔보에서의 일대일 공진 (One to one Resonance on the Rectangular Cantilever Beam)

  • 김명구;박철희;조종두;이흥식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.424-429
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    • 2005
  • In this paper, the response characteristics of one to one resonance on the rectangular cantilever beam in which basic harmonic excitations are applied by nonlinear coupled differential integral equations are studied. This equations have 3-dimensional non-linearity of nonlinear inertia and nonlinear curvature. Galerkin and multi scale methods are used for theoretical approach to one to one internal resonance. Nonlinear response characteristics of 1st, 2nd, 3rd modes are measured from the experiment for basic harmonic excitation. From the experimental result, geometrical terms of nonlinearity display light spring effect and these terms play an important role in the response characteristics of low frequency modes. Dynamic behaviors in the out of plane are also studied.

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미분구적법을 이용한 곡선보의 내평면 진동분석

  • Gang Gi-Jun;Han Ji-Won
    • 한국산업안전학회:학술대회논문집
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    • 한국안전학회 2000년도 추계 학술논문발표회 논문집
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    • pp.17-26
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    • 2000
  • The early investigators into the in-plane vibration of rings were Hoppe $Hoppe ^{1)}$ and $Love ^{2)}$. $Love ^{2)}$ Improved on Hoppe's theory by allowing for stretching of the ring. $Lamb ^{3)}$ investigated the statics of incomplete ring with various boundary conditions and the dynamics of an incomplete free-free ring of small curvature. Den $Hartog ^{4)}$ used the Rayleigh-Ritz method for finding the lowest natural frequency of circular arcs with simply supported or clamped ends and his work was extended by Volterra and $Morell ^{5)}$ for the vibrations of arches having center lines in the form of cycloids, catenaries or parabolas.(omitted)

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대변형 효과를 고려한 원주방향 관통균열 엘보우의 닫힘굽힘 한계하중에 미치는 내압 영향 평가 (Effect of Internal Pressure on Plastic Limit Loads for Elbows with Circumferential Through-wall Crack under Closing Bending Incorporating Large Geometry Change Effects)

  • 홍석표;김윤재
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.1778-1782
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    • 2007
  • Based on three-dimensional (3-D) FE limit analyses, this paper estimates effect of internal pressure on plastic limit loads for elbows with circumferential through-wall crack under in-plane bending incorporating large geometry change effects. Circumferential through-wall crack in extrados is considered. The FE limit analyses using the large geometry change option provide plastic collapse loads (using the twice-elastic-slope method). For the bending mode, closing bending is considered. Other relevant variables affecting plastic limit loads are systematically varied, related to pipe bend geometry (the mean radius, thickness and bend curvature) and defect geometry (the length of circumferential through-wall crack).

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곡면 모델링에서 3차원 경계 곡면 블렌드 구성에 관한 연구 (A Study on The Construction of 3-Dimensional Edge Blend Surface Modeling)

  • 이창억
    • 기술사
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    • 제27권3호
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    • pp.121-131
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    • 1994
  • 3차원 자유 형상 곡면으로 이루어진 선형을 부분적으로 표현하기란 매우 힘들다. 선박 설계에 컴퓨터를 이용한 기술이 적용되기 시작하면서, 기하학적 모델링 기법이 개발되어 왔다. 선형 모델링에서,곡률 변화가 심한 선체 곡면의 국부적인 곡면 형상을 Blending 기법을 써서 표현하는 연구는 이루어지지 않았다. Blend곡면을 써서, 설계시에 도면상에 표시되는 작은 곡면을 부드럽게 표현하는 방법을, 선체표면과 돌출된 접합 부분을 Blending 하고져 하였다. 본 연구에서는, 두개의 Base곡면에 Blend반지름을 입력 했을 때, Blend곡면에 Blending방법을 이용하여 공간 좌표인 Offsets 데이터를 얻을 수 있도록 선박 설계에 적용하여 보았다.

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Numerical Study of Three-Dimensional Compressible Flow Structure Within an S-Duct for Aircraft Engine Inlet

  • Cho, Soo-Yong;Park, Byung-Kyu
    • International Journal of Aeronautical and Space Sciences
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    • 제1권1호
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    • pp.36-47
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    • 2000
  • Three-dimensional compressible turbulent flow fields within the passage of a diffusing S-duct have been simulated by solving the Navier-Stokes equations with SIMPLE scheme. The average inlet Mach number is 0.6 and the Reynolds number based on the inlet diameter is $1.76{\times}10^6$ The extended $k-{\varepsilon}$ turbulence model is applied to modeling the Reynolds stresses. Computed results of the flow in a circular diffusing S-duct provide an understanding of the flow structure within a typical engine inlet system. These are compared with experimental wall static-pressure, total-pressure fields, and secondary velocity profiles. Additionally, boundary layer thickness, skin friction values, and streamlines in the symmetric plane are presented. The computed results depict the interaction between the low energy flow by the flow separation and the high energy flow by the reversed duct curvature. The computed results obtained using the extended $k-{\varepsilon}$ turbulence model.

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정수압하에서 박판 정방벌지의 변형특성과 불안정에 관한 연구 (A study on the characteristic and instability of the diaphram square bulge under hydraulic pressure)

  • 강대민
    • 한국안전학회지
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    • 제12권3호
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    • pp.52-59
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    • 1997
  • Hill's anisotropy theory and isotropy theory under the deformed profile assumed two separate cases(that is circular and ellipitical) are applied to predict the plastic deformation characteristics of bulge, the strain and polar height under instability condition, using thin square diaphragms of stainless steel, mild steel, brass, copper and aluminum. In this study it was found that the pressure-polar height curves, and the polar height-the polar radius of curvature curve, under anisotropy theory and isotropy theory, assuming a circle profile, agree well with the experimental results, and the equivalent strains of the instability condition under anisotropy theory are better good agreement with the experimental results than those of the instability condition under isotropy theory. Beside, FLCo(plane Strain Intercept) obtained by Bethlehem FLC method and standard FLC method (modified) agree well with the experimental result.

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ON TRIANGLES ASSOCIATED WITH A CURVE

  • Kim, Dong-Soo;Kim, Dong Seo;Kim, Young Ho
    • 대한수학회보
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    • 제52권3호
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    • pp.925-933
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    • 2015
  • It is well-known that the area of parabolic region between a parabola and any chord $P_1P_2$ on the parabola is four thirds of the area of triangle ${\Delta}P_1P_2P$. Here we denote by P the point on the parabola where the tangent is parallel to the chord $P_1P_2$. In the previous works, the first and third authors of the present paper proved that this property is a characteristic one of parabolas. In this paper, with respect to triangles ${\Delta}P_1P_2PQ$ where Q is the intersection point of two tangents to X at $P_1$ and $P_2$ we establish some characterization theorems for parabolas.

불평등전계중에서 과도과전압에 대한 $SF_{6}$가스의 절연특성 (Dielectric Characteristics of $SF_{6}$ Gas Stressed by VFTO in Inhomogeneous Field)

  • 이복희;이창준;길경석;안창환
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1995년도 추계학술대회 논문집
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    • pp.306-309
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    • 1995
  • This paper describes the dielectric characteristics of $SF_{6}$ gas in a non-uniform electric field under overvoltages. The breakdown voltage-time characteristics and the breakdown voltage-gas pressure characteristics are measured within a gas pressure range extending from 0.1 to 0.5 [Mpa] for the plane electrode system with a needle-shaped protrusion. The curvature radius of the needle protrusion is 0.5[mm]. Also, the growth process of the predischarge are simultaneously observed. As a result, it is found that the breakdown mechanism and predischarge phenomena are closely associated with the polarity and waveforms of the testing voltage.

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Stereovision by Active Surface Model

  • Yokomichi, M.;Sugiyama, H.;Kono, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1990-1993
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    • 2005
  • Stereovision is known to be one of the most important tools for robot vision systems. Previously, 2D active contour model has been applied to stereovision by defining the contour on the 3D space instead of image plane. However, the proposed model is still that of curve so that some complex shapes such as surfaces with high curvature can not be properly estimated because of occlusion phenomena. In this paper, the authors extend the curve model to the surface model. The surface is approximated by polygons and new energy function and its optimization method for surface estimation is proposed. Its effectiveness is examined by experiments with real stereo images.

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Free vibrations of inclined arches using finite elements

  • Chucheepsakul, Somchai;Saetiew, Wasuroot
    • Structural Engineering and Mechanics
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    • 제13권6호
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    • pp.713-730
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    • 2002
  • This paper presents a finite element approach for determining the natural frequencies for planar inclined arches of various shapes vibrating in three-dimensional space. The profile of inclined arches, represented by undeformed centriodal axis of cross-section, is defined by the equation of plane curves expressed in the rectangular coordinates which are : circular, parabolic, sine, elliptic, and catenary shapes. In free vibration state, the arch is slightly displaced from its undeformed position. The linear relationship between curvature-torsion and axial strain is expressed in terms of the displacements in three-dimensional space. The finite element discretization along the span length is used rather than the total are length. Numerical results for arches of various shapes are given and they are in good agreement with those reported in literature. The natural frequency parameters and mode shapes are reported as functions of two nondimensional parameters: the span to cord length ratio (e) and the rise to cord length ratio (f).