• 제목/요약/키워드: free axisymmetric vibration

검색결과 23건 처리시간 0.016초

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.

난류경계층에 의한 다층재질 원통형 실린더의 유체소음 해석 연구 (A Study of Flow Induced Noise for Multilayered Cylinder due to Turbulent Boundary Layer)

  • 신구균;홍진숙;이헌곤
    • 소음진동
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    • 제6권5호
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    • pp.671-677
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    • 1996
  • This paper presents the analytical method for predicting turbulence- induced noise in the multilayered cylinder composed of an outer hose, an inner fluid and an internal core. It is assumed that an infinite axisymmetric cylinder is located horizontally in water with free stream velocity and the turbulent boundary layer (TBL) surrounding the outer hose is fully developed and homogeneous. The transfer function at the core surface due to the propagation of the pressure fluctuation within the TBL is formulated using the linearized Navier-Stockes equation for solid and fluid. In the estimation of the energy spectrum of wall pressure fluctuation, the empirical formula proposed by Strawderman based on the Corcos model is used. A general algorithm for the calculation of the pressure level at the surface of a core, that is, turbulence- induced noise, is presented. Through the detailed numerical simulation, it is found that the major noise mechanism is the propagation of the bulge wave along hose.

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외부유체-구조물의 상호작용을 고려한 해양구조물의 동적해석 (Dynamic Analysis of Offshore Structures Considering External Fluid-Structure Interaction)

  • 황철성;백인열
    • 한국구조물진단유지관리공학회 논문집
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    • 제9권1호
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    • pp.271-281
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    • 2005
  • 외부유체를 유한요소화 할 경우 경계조건을 만족시키도록 무한반경까지를 모델링 할 수 없으므로 이를 보정하기 위하여 유한경계에서의 경계조건으로 발산경계조건을 사용하였다. 외부유체의 모델링에서 적용한 수치모델은 쉘 요소 및 유체요소를 축대칭 구조물의 특성을 이용한 링요소로 모델화하여 자오방향 모우드와 주변방향의 파형 모우드를 변수분리함으로써 지진하중 등의 해석에서도 수십 개의 링요소에 의해 정해에 근사한 값을 얻을 수 있도록 하였다. 축대칭 쉘 구조물과 유체-구조물의 상호관계는 접촉면에서 구조물의 가속도와 유체의 압력관계를 이용한 부가질량을 유체를 비점성, 비압축 및 비회전으로 가정하여 유한요소법에 의해 구하였다. 이에 따라 구조물의 변형에 따른 외부유체 효과를 고려한 부가질량매트릭스를 얻을 수 있었으며, 이에 대한 수치해석을 통하여 고유진동해석 및 지진하중을 주하중으로 한 동적해석을 실시하였다.