• Title/Summary/Keyword: 얇은 쉘

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A Comparative Analysis of Anisotropic Thick Cylindrical Shells and Anisotropic Thin Cylindrical Shells by Finite Element Method (유한요소법에 의한 비등방성 두꺼운 원통형 쉘 및 얇은 원통형 쉘의 비교 해석)

  • Kim, Gi-Dong;Park, Weon-Tae
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.3
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    • pp.17-23
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    • 2010
  • This paper is presented for the analysis results of the bending problems of the anisotropic cylindrical shells. In the numerical analysis of various mechanical problems involving complex partial differential equations, Finite element method is used to analyze the governing equations of anisotropic cylindrical shells. Both thin shell theory and thick shell theory are used as the basic governing equations of bending problems in the anisotropic cylindrical shells. The analysis results are compared between the anisotropic thick cylindrical shells and the anisotropic thin cylindrical shells. The results of this study will be contribute to analyze the bending behavior of anisotropic cylindrical shells.

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A Study on the Analysis of Anisotropic Thin and Thick Shells (비등방성 얇은 쉘 및 두꺼운 쉘의 해석연구)

  • Park Weon-Tae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.6 no.6
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    • pp.525-530
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    • 2005
  • In this study, it is presented analysis results of bending problems in the anisotropic thick shell and the anisotropic thin shell bending problems. In the numerical analysis of various mechanical problems involving complex partial differential equations, finite element method is used. Both Kirchoffs assumptions and Mindlin assumptions are used as the basic governing equations of bending problems in the anisotropic shells. The analysis results are compared between the anisotropic thick shells and the anisotropic thin shells for the various width-thickness ratios. The numerical method of this study will be contributed not only to analysis the bending behavior of anisotropic shells but also to design the anisotropic shells.

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An Extended Modal Warping Approach to Real-Time Simulation of Thin Shells (얇은 쉘의 실시간 시뮬레이션을 위한 모달 와핑 기법의 확장)

  • Choi, Min-Gyu;Woo, Seung-Yong;Ko, Hyeong-Seok
    • Journal of Korea Game Society
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    • v.7 no.2
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    • pp.11-20
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    • 2007
  • This paper proposes a real-time simulation technique for thin shells undergoing large deformation. Shells are thin objects such as leaves and papers that can be abstracted as 2D structures. Development of a satisfactory physical model that runs in real-time but produces visually convincing animation of thin shells has been remaining a challenge in computer graphics. Rather than resorting to shell theory which involves the most complex formulations in continuum mechanics, we adopt the energy functions from the discrete shells proposed by Grinspun et al. For real-time integration of the governing equation, we develop a modal warping technique for shells. This new simulation framework results from making extensions to the original modal warping technique which was developed for the simulation of 3D solids. We report experimental results, which show that the proposed method runs in real-time even for large meshes, and that it can simulate large bending and/or twisting deformations with acceptable realism.

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Free Vibration of a Thin Circular Cylindrical Shell in Fluid (유체중의 얇은 원통쉘의 자유진동)

  • Liang, G.H.;Kawatate, K.
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.3 no.3
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    • pp.117-125
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    • 1991
  • Two methods are presented to calculate the natural frequency of an elastic thin circular cylindrical shell vibrating in fluid. Both of them give the natural frequency in analytical expression One is in a simple form and suitable for higher deformation mode of the shell. Another seems to be exact and be used to a case of the shell partially immersed in fluid. When the shell is fully immersed in fluid results show: fur the lower deformation mode of the shell, the surrounding fluid has remarkable effect upon the natural frequency; for the higher mode, the fluid effect becomes small. When the shell is partially immersed in fluid. it does not occur always that the greatest effect take place at the lowest deformation mode.

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

  • 조맹효;노희열;김현철
    • Computational Structural Engineering
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    • v.17 no.1
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    • pp.25-33
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    • 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)

Calculation of the eigenfrequencies for an infinite circular cylinder (무한 원통형 실린더의 고유진동수에 관한 연구)

  • Baik, Kyungmin;Ryue, Jung-Soo;Shin, Ku-Kyun
    • The Journal of the Acoustical Society of Korea
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    • v.35 no.1
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    • pp.16-23
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    • 2016
  • Present study shows three different methods finding the eigenfrequencies of an infinite circular cylinder under free-vibration; Elasticity theory that can be applied to general case, thin-shell theory that can be effectively applied to the cylinders with small thickness, and numerical study using Finite Element Method (FEM). The results obtained from those methods were verified through the cross check among the calculations. Changing the thickness of the cylinder for a fixed outer radius, all the eigenfrequencies below 1 kHz were found and their dependences on the modal index and the thickness were observed.

Finite Element Vibration Analysis of Thick Cylindrical Shell with Structure-Fluid Interaction (구조물-유체 상호작용을 고려한 두꺼운 원통형 쉘의 유한요소 진동 해석)

  • 배수룡;신구균;함일배;이헌곤
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.295-299
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    • 1994
  • 두꺼운 원통형 쉘은 공학적인 문제에서 많이 사용된다. 쉘 내부에 임피던스가 큰 유체와 구조물이 있을 때 쉘을 포함한 진동해석은 이론적인 해석이 매우 어렵다. 쉘 내부에 있는 유체의 임피던스가 공기에 비하여 매우 클 경우 쉘과 유체, 내부의 구조물과 유체사이의 구조물-유체 상호작용(structure-fluid interaction)이 고려되어야 한다. 얇은 원통형 쉘에 대해서는 상용 유한요소 코드를 이용하여 구조물-유체 상호작용을 고려한 진동해석이 많이 수행되었으나 축대칭 두꺼운 원통형 쉘에 대해서는 연구가 수행되지 않고 있다. 본 연구에서는 NASTRAN, ANSYS 같은 상용 유한요소 코드에서 지원되지 않는 축대칭 두꺼운 원통형 쉘 내부에 유체와 강체요소가 있을 경우 이에 대한 유한요소 코드를 개발하고, 구조물-유체 상호작용을 고려하여 진동해석을 하였다.

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Free Vibration of Composite Cylindrical Shells with a Longitudinal, Interior Rectangular Plate (내부에 사각판이 결합된 복합재료 원통쉘의 자유진동)

  • 이영신;최명환
    • Composites Research
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    • v.12 no.5
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    • pp.65-79
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    • 1999
  • This paper descrives the method to analyzed the free vibratioin of supported composite cylindrical shells with a longitudinal, interior rectangular plate. To obtain the free vibration characteristics before the combination of two structures, the energy principle based on the classical plate theory and Love's thin shell theory is adopted. The frequency equation of the combined system is formulated using the receptance method. When the line load and moment applied along the joint are assumed as the the Dirac delta and sinusolidal function, the continuity conditions at the joint of the plate and shell are proven to be satisfied. The effects on the combined shell frequencies of the length-no-radius ratios and radius-to-thickness ratios of the shell, fiber orientation angles and orthotropic modulus ratios of the composite are also examined.

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Three-Dimensional Vibration Analysis of Thick Shells of Revolution (두꺼운 축대칭 회전쉘의 3차원적 진동해석)

  • 강재훈;양근혁;장경호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.399-407
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    • 2002
  • A three-dimensional method of analysis is presented for determining the free vibration frequencies and mode shapes of hollow bodies of revolution (i.e., thick shells), not limited to straight line generators or constant thickness. The middle surface of the shell may have arbitrary curvatures, and the wall thickness may vary arbitrarily. Displacement components$U_\Phi, U_z, U_\theta$ in the meridional, normal and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in$\theta$, and algebraic polynomials in the$\Phi$and z directions. Potential(strain) and kinetic energies of the entire body are formulated, and upper bound values of the frequencies are obtained by minimizing the frequencies. As the degrees of the polynomials are increased, frequencies converge to the exact values. Novel numerical results are presented for two types of thick conical shells and thick spherical shell segments having linear thickness variations. Convergence to four digit exactitude is demonstrated for the first five frequencies of both types of shells. The method is applicable to thin shells, as well as thick and very thick ones.

Analysis Methods of Wrinkle Prediction for Thin Membrane (얇은 막재료의 주름해석 기법)

  • Bae, Hongsu;Woo, Kyeongsik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.41 no.11
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    • pp.865-873
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    • 2013
  • In this paper, numerical methods for wrinkle prediction of thin membrane were studied by finite element analysis. Techniques using membrane and shell elements were applied for triangular membrane. In case of membrane element method, the wrinkling was accounted for by the wrinkle algorithm of property modification, which was implemented to ABAQUS as a user subroutine. In case of shell method, geometrically nonlinear post-buckling analysis was performed to obtain the wrinkle deformation explicitly. The wrinkling deformation was induced by seeding the mesh with a random geometric imperfection. The results were investigated focusing on the mesh convergence and the solution accuracy.