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Axisymmetric free vibration of layered cylindrical shell filled with fluid

Izyan M. D. Nurul, Sabri Nur Ain Ayunni, Hafizah A. K. Nor, Sankar D. S., Viswanathan K. K.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 4

63--76

EN

The aim of the study is to analyse the axisymmetric free vibration of layered cylindrical shells filled with a quiescent fluid. The fluid is assumed to be incompressible and inviscid. The equations of axisymmetric vibrations of layered cylindrical shell filled with fluid, on the longitudinal and transverse displacement components are obtained using Love’s first approximation theory. The solutions of displacement functions are assumed in a separable form to obtain a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by Bickley-type splines. A generalized eigenvalue problem is obtained and solved numerically for a frequency parameter and an associated eigenvector of spline coefficients. Two layered shells with three different types of materials under clamped-clamped boundary conditions are considered. Parametric studies are made on the variation of the frequency parameter with respect to length-to-radius ratio and length-to-thickness ratio.

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Comparision of Numerical Results with Known Solutions of Buckling Problem of Pressured Shallow Spherical Shells

Lykhachova O., Kołakowski Z.

Mechanics and Mechanical Engineering

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2016

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Vol. 20, nr 2

185--190

EN

Buckling problem of pressured shallow spherical shells is studied numerically for two types of finite elements: axisymmetric and non–axisymmetric. A very good correspondence of obtained results and known solutions is revealed in the case of clamed and hinged spherical segments for both types of finite elements. The comparison of results also shows that using non–axisymmetric finite element lets one get full pre– and post– buckling equilibrium path in the range of relative deflections w=h.

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Axisymmetric deformation of an isotropic elastic liquid-saturated porous medium using an eigenvalue approach

Kumar R., Miglani A., Garg N. R.

International Journal of Applied Mechanics and Engineering

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2007

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Vol. 12, no 4

1009-1025

EN

A deformation problem of an isotropic elastic liquid-saturated porous medium has been discussed by finding a general solution to the field equations of poroelasticity under axisymmetric conditions. An eigenvalue approach using the Laplace and the Hankel transforms is applied to get the solution. To show the utility of the solution obtained, an application of an infinite space with a concentrated point force acting at some interior point of the medium has been considered. The transformed solutions are inverted numerically, using a numerical inversion technique to invert the Laplace and the Hankel transforms. The results in the form of displacement and stress components have been obtained numerically and discussed graphically for a particular model.