Vibrations of Pinned–Pinned Heterogeneous Circular Beams Subjected to a Radial Force at the Crown Point

Kiss, László Péter; Szeidl, György

doi:10.1080/15397734.2015.1022659

Cited by 12 publications

(6 citation statements)

References 21 publications

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“…The normal stresses can be calculated according to Eqs. (3,4), furthermore the radial displacement field and the radial normal stresses are continuous. To ensure the continuity, we can express the following fitting conditions between the layers:…”

Section: Formulation Of the Problemmentioning

confidence: 95%

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Thermoelastic problems of multilayered spherical pressure vessels subjected to axisymmetric loading

Chapman¹

2020

IJEMS

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This paper deals with the linear thermoelastic analysis of functionally graded multilayered spherical bodies subjected to constant mechanical and thermal loading. The temperature field is arbitrary function of the radial coordinate, the material properties and the radial body force vary according to power law functions along the radius of the sphere. An analytical method is presented to calculate the displacements and stresses within the multilayered spherical body. The method is expanded to tackle the problem of spherical bodies made from radially graded materials with temperature dependent material properties. The results are compared to finite element simulations and other methods.

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Section: Formulation Of the Problemmentioning

confidence: 95%

“…Papers, such as [4][5][6][7][8][9][10] investigate heterogeneous and functionally graded beams from different aspect. Works by Pen [11], Gönczi [12][13], Sondhi [14] and Allam [15] (etc.)…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic problems of multilayered spherical pressure vessels subjected to axisymmetric loading

Chapman¹

2020

IJEMS

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“…where E i is the modulus of elasticity, ν i is the Poisson ratio and α i is the coefficient of linear thermal expansion while the radial and circumferential normal stresses are denoted by σ ri and σ ϕi (i = 1, 2). Substituting equations (11) and (12) into (10) yields…”

Section: Figure 1 Bimetallic Curved Beam With Rectangular Cross Sectionmentioning

confidence: 99%

“…In the above-mentioned papers curved bimetallic beams were not considered. In papers [11,12] curved beams are investigated but the loading is pure mechanical loading. In this paper the curved bimetallic beam under the action of uniform temperature change is studied.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a curved bimetallic beam

Chapman¹

2019

JCAM

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This paper deals with the determination of stresses and displacements in a curved bimetallic beam which has uniform curvature. The two curved beam components of different materials have common displacements at their interface. The thermal load is derived from uniform temperature change. Two models are considered. The first one is based on the theory of the generalized plane stress state of elasticity and the second one uses a strength of materials approach. The results obtained by these models are verified by a comparison with finite element analysis.

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“…Eigenvalue problem (21) can be solved numerically if we follow the solution procedure detailed in [23,26].…”

Section: Consider Now the System Of Differential Equationsmentioning

confidence: 99%

Green’s functions for nonhomogeneous curved beamswith applications to vibration problems

Kiss¹

2017

JCAM

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In the open literature we have found no report on the Green function matrices of curved beams except papers [1, 2, 3] by Szeidl at al. These works assume that the material of the beam is homogeneous and isotropic. In the present paper we assume that the beam is made of heterogeneous material in such a way that the material properties depend on the cross-sectional coordinates. Under this condition we have the following aims: (1) we would like to determine the Green function matrices in a closed-form for (a) fixed-fixed, (b) pinnedpinned and (c) pinned-fixed circular beams. (2) With the knowledge of the Green function matrices we can reduce those eigenvalue problems which provide the natural frequencies of the free vibrations to eigenvalue problems governed by homogeneous Fredholm integral equations. Our goal in this respect is to solve the latter eigenvalue problems numerically and compare the results obtained with the results of finite element (FE) computations. Our numerical solutions show a good agreement with the commercial FE computations.

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Vibrations of Pinned–Pinned Heterogeneous Circular Beams Subjected to a Radial Force at the Crown Point

Cited by 12 publications

References 21 publications

Thermoelastic problems of multilayered spherical pressure vessels subjected to axisymmetric loading

Thermoelastic problems of multilayered spherical pressure vessels subjected to axisymmetric loading

Analysis of a curved bimetallic beam

Green’s functions for nonhomogeneous curved beamswith applications to vibration problems

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