• 제목/요약/키워드: Elastic cylinder

검색결과 169건 처리시간 0.027초

Transfer matrix method for solution of FGMs thick-walled cylinder with arbitrary inhomogeneous elastic response

  • Chen, Y.Z.
    • Smart Structures and Systems
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    • 제21권4호
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    • pp.469-477
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    • 2018
  • This paper presents a numerical solution for the thick cylinders made of functionally graded materials (FGMs) with a constant Poisson's ratio and an arbitrary Young's modulus. We define two fundamental solutions which are derived from an ordinary differential equation under two particular initial boundary conditions. In addition, for the single layer case, we can define the transfer matrix N. The matrix gives a relation between the values of stress and displacement at the interior and exterior points. By using the assumed boundary condition and the transfer matrix, we can obtain the final solution. The transfer matrix method also provides an effective way for the solution of multiply layered cylinder. Finally, a lot of numerical examples are present.

격자 변형 기법을 사용한 운동하는 2차원 실린더 주위의 유동 해석 (ANALYSIS OF TWO-DIMENSIONAL FLOW AROUND AN OSCILLATING CYLINDER USING MOVING MESH TECHNIQUES)

  • 이희범;이신형
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.542-547
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    • 2010
  • Recently, thanks to advanced computational power and numerical techniques, it is made possible to analyze the flow around moving bodies using computational fluid dynamics techniques. In those simulations, moving mesh techniques should be able to represent both the body motion and boundary deformation which are frequently encounterd in fluid-structure interaction and/of six degree-of-freedom problems. There are several moving mesh techniques such as the Laplacian operator based, tension spring based and elastic deformation based methods. In the present study, the Laplacian operator based method was utilized and the results were validated. For the validation, the flow around an oscillating two-dimensional cylinder was simulated and analyzed.

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유한한 내부 구조물이 결합된 실린더의 파동해석 (Wave Analysis of cylinders with finite internal structures)

  • 정병규;홍진숙;유정수;정의봉;신구균
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2014년도 추계학술대회 논문집
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    • pp.957-959
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    • 2014
  • The wave analysis of cylinders combined rigidly with a finite plate to identify the effect of the plate on the wave propagation. This paper uses the mobility and impedance coupling method to combine a infinite-length cylinder with the plate, and obtains the coupling forces induced by the vibration of the structure. The waveguide finite element method is used to calculate the wave characteristics of the cylinder excited by the forces. From the results, the dispersion diagram can be obtained. It contains the characteristics induced by the vibration and length of the internal plate. It also shows the wave propagation of elastic waves sustained in the cylinder.

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On the attenuation of the axisymmetric longitudinal waves propagating in the bi-layered hollow cylinder made of viscoelastic materials

  • Kocal, Tarik;Akbarov, Surkay D.
    • Structural Engineering and Mechanics
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    • 제61권1호
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    • pp.143-160
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    • 2017
  • The paper studies the attenuation of the axisymmetric longitudinal waves propagating in the bi-layered hollow cylinder made of linear viscoelastic materials. Investigations are made by utilizing the exact equations of motion of the theory of viscoelasticity. The dispersion equation is obtained for an arbitrary type of hereditary operator of the materials of the constituents and a solution algorithm is developed for obtaining numerical results on the attenuation of the waves under consideration. Specific numerical results are presented and discussed for the case where the viscoelasticity of the materials is described through fractional-exponential operators by Rabotnov. In particular, how the rheological parameters influence the attenuation of the axisymmetric longitudinal waves propagating in the cylinder under consideration, is established.

Strain based finite element for the analysis of heterogeneous hollow cylinders subjected to thermo-mechanical loading

  • Bouzeriba, Asma;Bouzrira, Cherif
    • Structural Engineering and Mechanics
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    • 제83권6호
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    • pp.825-834
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    • 2022
  • The effectiveness and accuracy of the strain-based approach applied for analysis of two kinds of heterogeneous hollow cylinders subjected to thermal and mechanical loads are examined in this study. One is a multilayer cylinder in which the material in each layer is assumed to be linearly elastic, homogeneous and isotropic. Another is a hollow cylinder made of functionally graded materials with arbitrary gradient. The steady state condition without heat generation is considered. A sector in-plane finite element in the polar coordinate system based on strain approach is used. This element has only three degrees of freedom at each corner node. Analytical solutions available in the literature are presented to illustrate the accuracy of the sector element used. The obtained results for displacements and stresses are shown to be in good agreement with the analytical solutions.

자유표면(自由表面)에 접착(接着)된 원통(圓筒)에 가(加)해진 축방향하중(軸方向荷重)으로 인(因)한 응력분포(應力分布) 및 변위(變位)에 대(對)한 수학적(數學的) 해석(解析)(제1보)(第1報) (Mathematical Analysis for the Stress Distribution and Displacement by an Axial Load in an Elastic Half -Space by a Rigid Punch in the Form of a Flat-Ended Circular Cylinder Cemented to the Stress Free Surface(Part 1))

  • 이낙주
    • 대한조선학회지
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    • 제5권1호
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    • pp.1-7
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    • 1968
  • In this problem the ragid punch in the form of a flat-ended circular cylinder of unit radius is cemented to the stress free surface of an elastic half-space. An axial load P is then applied to the punch to force it into half-space to depth $\varepsilon$. It is assumed that the adhesive between the punch and can be reduced to the system of Abel type integral equations which are equation (13) and (14). It is also shown that the stress and displacement components on the portions of boundary where they are not prescribed can be expressed in terms of $\phi(t)$ and/or $\phi(t)$ which are introduced in equation (9) and (10). Those functions can be obtained from the solution of the system of integral equations (13) and (14).

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Generalized shear deformation theory for thermo elastic analyses of the Functionally Graded Cylindrical shells

  • Arefi, M.
    • Structural Engineering and Mechanics
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    • 제50권3호
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    • pp.403-417
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    • 2014
  • The present paper addresses a general formulation for the thermo elastic analysis of a functionally graded cylindrical shell subjected to external loads. The shear deformation theory and energy method is employed for this purpose. This method presents the final relations by using a set of second order differential equations in terms of integral of material properties along the thickness direction. The proposed formulation can be considered for every distribution of material properties, whether functional or non functional. The obtained formulation can be used for manufactured materials or structures with numerical distribution of material properties which are obtained by using the experiments. The governing differential equation is applied for two well-known functionalities and some previous results are corrected with present true results.

초음파 점도계용 고체 매질의 탄성파와 인접 점성유체 간의 상호작용 (The Interaction Between Stress Waves in Elastic Solids for an Ultrasonic Viscometer and Adjacent Viscous Fluids)

  • 김진오
    • 한국음향학회지
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    • 제18권5호
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    • pp.28-34
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    • 1999
  • 인접 점성 유체의 점도가 탄성파의 전파특성에 미치는 효과를 이론적 및 실험적으로 연구하였다. 원형막대에서 전파하는 비틂파와 박막 덮인 반무한 고체에서 전파하는 Love파와 같이 전단운동을 하는 탄성파에 대해서 전파속도와 감쇠의 표현을 유체의 점도와 밀도의 함수로써 엄밀해와 근사해로 구하였다. 이론적 결과는 실험 결과와 비교하였으며, 실험에 사용된 장치는 유체의 밀도를 알 때 점도를 측정하는 센서로 활용될 가능성을 보였다.

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