• 제목/요약/키워드: thin shell theory

검색결과 101건 처리시간 0.022초

다양한 경계조건을 갖는 링보강 복합재료 원통셸의 진동특성해석 (Vibration Characteristics of Ring-Stiffened Composite Cylindrical Shells with Various Edge Boundary Conditions)

  • 이영신;김영완;최명환;류충현;신도섭
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.359-364
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    • 1998
  • The effects of boundary conditions on natural frequencies for the ring stiffened composite cylindrical shells are investigated by theoretical method. The Love's thin shell theory and the discrete stiffener theory with beam functions in the Ritz procedure are used to derive the frequency equation. Five different boundary conditions such as clamped-clamped, simply supported-simply supported, free-free, clamped-free, clamped-simply supported are considered in this study. Also, the experimental investigation is presented to validate the theoretical results.

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A cylindrical shell model for nonlocal buckling behavior of CNTs embedded in an elastic foundation under the simultaneous effects of magnetic field, temperature change, and number of walls

  • Timesli, Abdelaziz
    • Advances in nano research
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    • 제11권6호
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    • pp.581-593
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    • 2021
  • This model is proposed to describe the buckling behavior of Carbon Nanotubes (CNTs) embedded in an elastic medium taking into account the combined effects of the magnetic field, the temperature, the nonlocal parameter, the number of walls. Using Eringen's nonlocal elasticity theory, thin cylindrical shell theory and Van der Waal force (VdW) interactions, we develop a system of partial differential equations governing the buckling response of CNTs embedded on Winkler, Pasternak, and Kerr foundations in a thermal-magnetic environment. The pre-buckling stresses are obtained by applying airy's stress function and an adjacent equilibrium criterion. To estimate the nonlocal critical buckling load of CNTs under the simultaneous effects of the magnetic field, the temperature change, and the number of walls, an optimization technique is proposed. Furthermore, analytical formulas are developed to obtain the buckling behavior of SWCNTs embedded in an elastic medium without taking into account the effects of the nonlocal parameter. These formulas take into account VdW interactions between adjacent tubes and the effect of terms involving differences in tube radii generally neglected in the derived expressions of the critical buckling load published in the literature. Most scientific research on modeling the effects of magnetic fields is based on beam theories, this motivation pushes me to develop a cylindrical shell model for studying the effect of the magnetic field on the static behavior of CNTs. The results show that the magnetic field has significant effects on the static behavior of CNTs and can lead to slow buckling. On the other hand, thermal effects reduce the critical buckling load. The findings in this work can help us design of CNTs for various applications (e.g. structural, electrical, mechanical and biological applications) in a thermal and magnetic environment.

추가변형을 고려한 환원판 결합 원통셸의 자유진동해석 (Free Vibration Analysis of Combined Cylindrical Shells with an Annular Plate Considering Additional Deformations)

  • 정강;김영완
    • 대한기계학회논문집A
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    • 제29권3호
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    • pp.439-446
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    • 2005
  • The theoretical method is developed to investigate the vibration characteristics of the combined cylindrical shells with an annular plate joined to the shell at any arbitrary axial position. The structural rotational coupling between shell and plate is simulated using the rotational artificial spring. For the translational coupling, the continuity conditions for the displacements of shell and plate are used. For the uncoupled annular plate, the transverse motion is considered and the in-plane motions are not. And the additional transverse and in-plane motions of the coupled annular plate by shell deformation are considered in analysis. Theoretical formulations are based on Love's thin shell theory. The frequency equation of the combined shell with an annular plate is derived using the Rayleigh-Ritz approach. The effect of inner-to-outer radius ratio, axial position and thickness of annular plate on vibration characteristics of combined cylindrical shells is studied. To demonstrate the validity of present theoretical method, the finite element analysis is performed.

A numerical study on vibration behavior of fiber-reinforced composite panels in thermal environments

  • Al-Toki, Mouayed H.Z.;Ali, Hayder A.K.;Ahmed, Ridha A.;Faleh, Nadhim M.;Fenjan, Raad M.
    • Structural Engineering and Mechanics
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    • 제82권6호
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    • pp.691-699
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    • 2022
  • This paper is devoted to the presentation of a numerical study on vibration behavior of composite panels reinforced by glass fibres and carbon nanotubes (CNTs) subjected to thermal environments. The effect of temperature variation has been included as thermal load acting on in-plane direction of the panel. To model the composite material, a micromechanical model which contains random dispersion of nanotubes and single-direction fibers has been selected. The geometry of the panel has been considered to have a single curveture along its width. Based on the above assumptions, the governing equations have been derived by using thin shell theory capturing the panel curveture and also nonlinear deflections. Finally, the panel dependence on various factors such as the curveture, nanotube amount, fiber volume, fiber direction and temperature variation has been researched.

Use of the differential quadrature method for the buckling analysis of cylindrical shell panels

  • Redekop, D.;Makhoul, E.
    • Structural Engineering and Mechanics
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    • 제10권5호
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    • pp.451-462
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    • 2000
  • Buckling loads are determined for thin isotropic circular cylindrical shell panels subject to radial pressure using the new differential quadrature method. The Budiansky stability theory serves as the basis of the analysis. For this problem involving four boundary lines a two-dimensional approach is used, and a detailed convergence study is carried out to determine the appropriate analysis parameters for the method. Numerical results are determined for a total of twelve cylindrical shell panel cases for a number of different boundary support conditions. The results are compared with analytical and finite element method results. Conclusions are drawn about the technical significance of the results and the solution process.

Nonlinear forced vibration of axially moving functionally graded cylindrical shells under hygro-thermal loads

  • Jin-Peng Song;Gui-Lin She;Yu-Jie He
    • Geomechanics and Engineering
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    • 제36권2호
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    • pp.99-109
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    • 2024
  • Studying the dynamic behavior of axially moving cylindrical shells in hygro-thermal environments has important theoretical and engineering value for aircraft design. Therefore, in this paper, considering hygro-thermal effect, the nonlinear forced vibration of an axially moving cylindrical shell made of functionally graded materials (FGM) is studied. It is assumed that the material properties vary continuously along the thickness and contain pores. The Donnell thin shell theory is used to derive the motion equations of FGM cylindrical shells with hygro-thermal loads. Under the four sides clamped (CCCC) boundary conditions, the Gallekin method and multi-scale method are used for nonlinear analysis. The effects of power law index, porosity coefficient, temperature rise, moisture concentration, axial velocity, prestress, damping and external excitation amplitude on nonlinear forced vibration are explored through parametric research. It can be found that, the changes in temperature and humidity have a significant effect. Increasing in temperature and humidity will cause the resonance position to shift to the left and increase the resonance amplitude.

표면 효과익선(WIG)의 구조 강도에 관한 연구 (A Study on the Structure Strength of Wing In Ground effect Ship)

  • 고재용;박석주;정성호;박성현
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2002년도 추계공동학술대회논문집
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    • pp.95-100
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    • 2002
  • 표면효과익선이란 동체의 날개가 해수면 가까이 비행할 때 수면과 날개 사이에서 양력이 증가되는 표면효과를 이용하는 에너지 절약형 선박이다. 표면효과익선은 낮은 고도로 공기 중에서 비행하여야 되므로 박판으로 이루어져야 한다. 그러므로, 표면효과익선 구조에서 외판의 두께는 얇고 가벼우며 Stringer와 Frame등의 보강재는 외판에 비하여 단면적이 훨씬 크다. 이와 같은 구조에 있어서는 외판이 면내방향의 하중을 받으면 박판인 외판은 순전단장에 가깝게 된다. 이와같이 외판과 큰 단면적을 갖는 String를 서로 조합하여 이루어진 구조는 표면효과익선 구조물의 구조응답해석이 가능하다. 본 연구에서는 기본설계 단계에서 간단하게 기체 구조강도해석을 할 수 있는 기존의 해석적인 방법으로 동체와 표면익의 구조강도를 계산할 수 있는 해석적인 방법을 제시하였다.

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폐쇄형 이중세포로 된 박벽 복합재료 블레이드의 단순화 해석 모델 (A Simple Beam Model for Thin-Walled Composite Blades with Closed, Two-Cell Sections)

  • 정성남;박일주;이주영;이정진
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.187-190
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    • 2005
  • A simple beam model based on a mixed method is proposed for the analysis of thin-walled composite blades with a two-cell airfoil section. A semi-complementary energy functional is used to obtain the beam force-displacement relations. The theory accounts for the effects of elastic couplings, shell wall thickness, warping, and warping restraint. All the kinematic relations as well as the cross-section stiffnesses are evaluated in a closed-form through the current beam formulation. The theory has been applied to two-cell composite blades with extension-torsion couplings and fairly good correlation has been observed in comparison with a detailed analysis and other literature.

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Elasticity solution and free vibrations analysis of laminated anisotropic cylindrical shells

  • Shakeri, M.;Eslami, M.R.;Yas, M.H.
    • Structural Engineering and Mechanics
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    • 제7권2호
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    • pp.181-202
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    • 1999
  • Dynamic response of axisymmetric arbitrary laminated composite cylindrical shell of finite length, using three-dimensional elasticity equations are studied. The shell is simply supported at both ends. The highly coupled partial differential equations are reduced to ordinary differential equations (ODE) with variable coefficients by means of trigonometric function expansion in axial direction. For cylindrical shell under dynamic load, the resulting differential equations are solved by Galerkin finite element method, In this solution, the continuity conditions between any two layer is satisfied. It is found that the difference between elasticity solution (ES) and higher order shear deformation theory (HSD) become higher for a symmetric laminations than their unsymmetric counterpart. That is due to the effect of bending-streching coupling. It is also found that due to the discontinuity of inplane stresses at the interface of the laminate, the slope of transverse normal and shear stresses aren't continuous across the interface. For free vibration analysis, through dividing each layer into thin laminas, the variable coefficients in ODE become constants and the resulting equations can be solved exactly. It is shown that the natural frequency of symmetric angle-ply are generally higher than their antisymmetric counterpart. Also the results are in good agreement with similar results found in literatures.

쉘형 구조물의 최적곡면 탐색에 관한 연구 (A Study on Optimum Shape Finding of Shell-Typed Structures)

  • 김승덕;이신우
    • 한국공간구조학회논문집
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    • 제8권2호
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    • pp.105-113
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    • 2008
  • 쉘형 구조물은 외력에 대해 효과적으로 저항할 수 있어, 두께를 얇게하면서 대공간 구조물을 만들 수 있는 장점이 있다. 이러한 장점은 구조형태에 크게 의존한다. 그러므로 많은 설계자들은 최적 형태를 설계에 반영하고자 하지만, 이는 간단치 않다. 지금까지 보다 최적의 형태를 얻기 위한 많은 기법들이 발표되어 왔고, 이들은 각각 장단점을 나타낸다. 본 논문에서는 최적의 곡면을 얻기 위해 기하학적 비선형을 고려한 유한요소법을 이용한 비교적 간단한 방법을 제안한다. 이러한 방법을 이용하여 다양한 쉘형 곡면에 적용하여 최적곡면을 얻고, 이를 비교한다.

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