• Title/Summary/Keyword: 곡률 이론

Search Result 110, Processing Time 0.029 seconds

Geometric Modeling, Finite Element Analysis, and Shape Optimization of Shell Structures (쉘의 기하학적 모델링과 유한요소 해석, 형상 최적설계)

  • 조맹효;노희열;김현철
    • Computational Structural Engineering
    • /
    • v.17 no.1
    • /
    • pp.25-33
    • /
    • 2004
  • 쉘은 곡률을 가지는 얇은 구조물로 정의된다. 자동차를 비롯하여 항공기, 우주 발사체, 인공위성, 선박 등의 운송수단과 건축물의 돔(done)과 같이 공간을 효율적으로 활용하고 동시에 경량화를 확보할 필요가 있는 경우에 쉘은 널리 사용되는 구조물이다. 쉘 이론은 1960년대까지는 전문가의 영역에 속해 있는 학문이었고 구조역학을 전공한 사람들에게도 다루기 어 려운 구조물로 인식되어 왔다. 실제 다양한 쉘의 거동은 역학과 수학의 폭넓은 지식을 요구하고 학문으로서도 그 속에서 평생을 보낼 만큼 매력적이고 어려운 부분들을 포함하고 있다고 생각된다.(중략)

New Curved Beam Elements Including Shear Effects (전단 효과를 고려한 새로운 곡선보 요소)

  • 최종근;임장근
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.15 no.3
    • /
    • pp.751-756
    • /
    • 1991
  • 본 연구에서는 Ashwell이 제시한 변형률요소를 전단효과를 고려한 두꺼운 곡 선보 요소에 적용 하였다. 막 변형률, 곡률, 전단변형률 각각에 독립된 변형률 함수 를 가정하여 미분 방정식의 일반해를 구하면 정확한 강체변위의 표현은 물론, 강성과 잉현상을 피할 수 있고 얇은 곡선보에서 두꺼운 곡선보에 이르기까지 보의 해석에 있 어서, 2절점으로 구성되는 적은 자유도수에서 높은 정확도를 보여주는 간편하고도 효 율적인 요소를 개발하고자 하였다.

Light Propagation in Multimode GRIN(graded-index) Fibers with Intrusion Sensing Capability (침입 감지기능을 가진 다중모드 GRIN(graded-index) 광섬유 내에서의 광파의 전파)

  • Sohn, Young-Ho
    • Journal of Sensor Science and Technology
    • /
    • v.11 no.5
    • /
    • pp.273-278
    • /
    • 2002
  • An intrusion-sensitive capability of multimode graded-index (GRIN) optical fibers under bending has been investigated. In this system, the data light is transmitted in the fundamental mode while alarm monitor light is launched in a high-order mode at the same time. An attempted intrusion to drain data by bending the fiber results in greater attenuation of a monitor signal in higher order modes, thereby setting off an alarm at the receiver. Light propagation in a multimode graded-index fiber is also analyzed theoretically when the fundamental mode is selectively excited and the fiber is bent around a constant radius mandrel. The bending generates coupling between the various modes of the fiber. Power transitions of the fundamental mode by changing the bending radius were also analyzed numerically using program simulation. It is shown that Asawa-Taylor model[4] is valid up to 1cm of the radius of curvature of the fiber bend.

Deformation Behavior of Curling Strips on Tearing Tubes (테어링 튜브 컬의 변형 거동 예측 기법 연구)

  • Choi, Ji Won;Kwon, Tae Soo;Jung, Hyun Seung;Kim, Jin Sung
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.39 no.10
    • /
    • pp.1053-1061
    • /
    • 2015
  • This paper discusses the analysis of the curl deformation behavior when a dynamic force is applied to a tearing tube installed on a flat die to predict the energy absorption capacity and deformation behavior. The deformation of the tips of the curling strips was obtained when the curl tips and tube body are in contact with each other, and a formula describing the energy dissipation rate caused by the deformation of the curl tips is proposed. To improve this formula, we focused on the variation of the curl radius and the reduced thickness of the tube. A formula describing the mean curl radius is proposed and verified using the curl radius measurement data of collision test specimens. These improved formulas are added to the theoretical model previously proposed by Huang et al. and verified from the collision test results of a tearing tube.

Geomatrically Non-linear Analysis Method by Curvature Based Flexibility Matrix (유연도 매트릭스를 사용한 기하학적 비선형 해석방법)

  • Kim, Jin Sup;Kwon, Min Ho
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.15 no.2
    • /
    • pp.125-135
    • /
    • 2011
  • The latest study for formulation of finite element method and computation techniques has progressed widely. The classical method in the formulation of frame elements for geometrically nonlinear analysis derives the geometric stiffness directly from the governing differential equation for bending with axial force. From the computational viewpoint of this paper, the most common approach is the finite element method. Commonly, the formulation of frame elements for geometrically nonlinear structures is based on appropriate interpolation functions for the transverse and axial displacements of the member. The formulation of flexibility-based elements, on the other hand, is based on interpolation functions for the internal forces. In this paper, a new method is used to suppose that interpolation functions for the displacements from the curvatures is Lagrangian interpolation. This paper derives flexibility matrix from that displacement functions and is considered the application of it. Using the flexibility matrix, this paper apply the program considered geometrically nonlinear analysis to common problems.

A Study on The Flame Propagation Velocity of Laminar Lifted Flame with Flame Curvatur e and Scalar Dissipation Rate (화염 곡률과 스칼라 소산율에 따른 층류부상화염의 화염전파속도에 관한 연구)

  • Kim, Kyung-Ho;Kim, Tae-Kwon;Park, Jeong;Ha, Ji-Soo
    • Journal of the Korean Institute of Gas
    • /
    • v.15 no.2
    • /
    • pp.47-56
    • /
    • 2011
  • Flame propagation velocity is the one ofmainmechanismof the stabilization of triple flame. To quantify the triple flame propagation velocity, Bilger presents the triple flame propagation velocity depending on the mixture fraction gradient, based on the laminar jet flow theory. However, in spite of these many analyses, there was not presented any relation of these variables, triple flame propagation velocity, radius of flame curvature and scalar dissipation rate indirectly. In the present research, we have checked the results of numerical simulation with experiment and numerical analysis and verified the flame propagation velocity with a scalar dissipation rate proposed by Bilger through the numerical simulation. Also we have clarified that flame propagation velocity was depended on the radius of flame curvature and scalar dissipation rate.

Fragmentation Fractal Analysis on Particle-size Distribution (Fragmentation 프랙탈을 이용한 입도분포 분석)

  • 민덕기;이완진
    • Journal of the Korean Geotechnical Society
    • /
    • v.19 no.2
    • /
    • pp.199-206
    • /
    • 2003
  • Particle-size distribution in soils is one of the most fundamental physical properties of soils. One of the latest developments in the study of particle-size distributions has focused on the use of fractal theories. In this study, the fragmentation fractals were used for determining the characteristics of the particle-size distribution curve. It was shown that the mass-size distribution method was more practical than the cumulative number-size distribution method. From the co-relation between fractal dimensions($D_{tot}$) and the coefficient of uniformity($C_{u}$), there was a sharp increase in fractal dimensions for $C_{u}$<4, but fractal dimension converged the single value for $D_{u}$$\geq$6. Fractal dimensions were affected by small sized particles for $C_{c}$$\geq$3 and large sized particles for $C_{c}$/<3. As a result of the analysis of the influence of the effective size($D_{10}$), it was observed that the changes of $D_{tot}$/ were nominal beyond the effective size.

Mesh Simplification Algorithm Using Differential Error Metric (미분 오차 척도를 이용한 메쉬 간략화 알고리즘)

  • 김수균;김선정;김창헌
    • Journal of KIISE:Computer Systems and Theory
    • /
    • v.31 no.5_6
    • /
    • pp.288-296
    • /
    • 2004
  • This paper proposes a new mesh simplification algorithm using differential error metric. Many simplification algorithms make use of a distance error metric, but it is hard to measure an accurate geometric error for the high-curvature region even though it has a small distance error measured in distance error metric. This paper proposes a new differential error metric that results in unifying a distance metric and its first and second order differentials, which become tangent vector and curvature metric. Since discrete surfaces may be considered as piecewise linear approximation of unknown smooth surfaces, theses differentials can be estimated and we can construct new concept of differential error metric for discrete surfaces with them. For our simplification algorithm based on iterative edge collapses, this differential error metric can assign the new vertex position maintaining the geometry of an original appearance. In this paper, we clearly show that our simplified results have better quality and smaller geometry error than others.

Correction method for the Variation of the Image Plane Generated by Various Symmetric Error Factors of Zoom Lenses of Digital Still Cameras and Estimation of Defect Rate Due to the Correction (디지털 카메라용 줌렌즈에서 대칭성 오차요인에 의한 상면 변화의 보정과 이에 따른 불량률 예측)

  • Ryu, Jae-Myung;Kang, Geon-Mo;Lee, Hae-Jin;Lee, Hyuck-Ki;Jo, Jae-Heung
    • Korean Journal of Optics and Photonics
    • /
    • v.17 no.5
    • /
    • pp.420-429
    • /
    • 2006
  • In the zoom lens of digital still cameras with the variation of the image plane generated by various symmetric error factors such as curvature, thickness and refractive index error of each lens surface about the optic axis, we induce a theoretical condition to fix constantly the image plane by translating the compensator group of the zoom lens by using the Gaussian bracket. We confirm the validity of this condition by using three examples of general zoom lens types with 3, 4, and 5 groups, respectively. When these error factors are randomly changed within the range of tolerance according to the Monte Carlo method, we verify that the distributions of the degree of moving of the compensator are normal distributions at three zoom lens types. From capability analysis using these results, we theoretically propose the method estimating the standard deviation, that is, sigma-level, as a function of the maximum movement of the compensator.

A Study of Strength of Stress Block and Analysis of the Flexural Deformation for Concrete Structures (300kgf/$\textrm{cm}^2$, 500kg/$\textrm{cm}^2$, 700kgf/$\textrm{cm}^2$) using Reliablity Theory (신뢰성 이론을 이용한 (300kgf/$\textrm{cm}^2$, 500kg/$\textrm{cm}^2$, 700kgf/$\textrm{cm}^2$) 콘크리트 구조물의 휨변형 해석과 응력블럭의 선택에 관한 연구)

  • 최광진;장일영;송재호;홍원기
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 1996.04a
    • /
    • pp.334-339
    • /
    • 1996
  • 본 연구의 목적은 불확실성이 내포되어 있는 콘크리트 구조물을 신뢰성 이론에 근거한 보통강도, 고강도 콘크리트에서의 휨모멘트-곡률관계와 하중변위관계를 해석하는데 그 목적을 두고 있다. 또한 기존의 해석방법과 본 연구에서의 해석방법을 비교하고 각 강도별로 기존에 제안된 응력블럭을 가정, 강도별에 알맞은 응력블럭을 검증하고 본 연구의 해석방버벵 대한 타당성을 증명하는 데 있다. 그래서 기존의 문헌을 통하여 공시체 데이터($\Phi$10$\times$20)에 대한 회귀분석을 이용하여 각 강도별로 곡선식을 모델화하여 제안하였고 이 식을 이용하여 불확실성을 내포하고 있는 몬테카롤로 시뮬레이션을 사용하여 내력을 평가하여 기존연구 해석치와 각 응력블럭을 이용한 본 연구에서의 해석치를 비교검토하여 이 해석방법의 타당성을 증명하는데 있다.

  • PDF