Transversely isotropic infinite cylindrical shell subjected to a radial axisymmetric line load

Chandrashekhara, K.; Gopalakrishnan, P.

doi:10.1016/0015-0568(82)90049-5

Cited by 6 publications

(2 citation statements)

References 7 publications

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“…For axial symmetric problems in an isotropic cylindrical shell, Iyengar and Sebastian 5 investigated shells subjected to a uniform pressure load adopting Love’s function on approximate shell theories due to Timoshenko-Donnell and Flugge. In the case of solving the full Navier’s elastic equations, Chandrashekhara and Gopalakrishnan 6,7 studied the axial symmetric problem of an infinite transversely isotropic cylindrical shell subjected to an axisymmetric load using Lekhnitskii’s 8 stress function. Later Chandrashekhara and Kumar 9 developed an exact axisymmetric solution of finite, transversely isotropic cylindrical shells subjected to axisymmetric loads, using the displacement function approach by Elliott.…”

Section: Introductionmentioning

confidence: 99%

3-D analytical solution of non-homogeneous transversely isotropic thick closed cylindrical shells

Mohammadi

Neya

Ardeshir-Behrestaghi

et al. 2022

The Journal of Strain Analysis for Engineering Design

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This paper presents an effective analytical method based on displacement potential functions (DPF) for solving 3D static problem of thick and multilayer transversely isotropic cylindrical shells with simply supported end boundary conditions. By using the DPF method, the three-dimensional elasticity equations are simplified and decoupled into two linear partial differential equations of fourth and second order as governing differential equations. The governing equations are solved by the separation of variable method in terms of fields that exactly satisfy end boundary conditions and the continuity of a closed cylinder in the hoop direction. The analysis covers a straightforward solution process for handling problems on multilayered cylindrical shells of transversely isotropic material, adopting all boundary and continuity conditions. Extensive sets of general radial loads located on the inner and outer faces of the cylindrical shell may be stated and examined with in a systematic manner. Comparisons are performed to other existing analytical results for one and multilayered cylindrical shells, and show excellent agreement for different materials, thicknesses and aspect ratios of the shell. In addition, various more involved problems are studied and solved analytically for single and three-layered shells of transversely isotropic material with different sets of radial loading functions at the outer and inner shell surfaces. The results of the present study can be used as benchmark solutions for other studies.

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Section: Introductionmentioning

confidence: 99%

3-D analytical solution of non-homogeneous transversely isotropic thick closed cylindrical shells

Mohammadi

Neya

Ardeshir-Behrestaghi

et al. 2022

The Journal of Strain Analysis for Engineering Design

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“…The modelling approaches of multilayered composite plates and shells considering their complicated effects are assessed by Giunta et al 33 Mirsky 34 evaluated the vibration response of thick laminated cylindrical shell using classical shell theory. Chandrashekar and Gopalakrishna 35 investigated the isotropic cylindrical shell in terms of deflection and stresses. Ren 36 presented an exact solution for non-dimensional deflection and stresses of composite cylindrical shell by defining displacement and stress field in terms of infinite series.…”

Section: Introductionmentioning

confidence: 99%

A non-polynomial axiomatic framework for modelling and bending analysis of doubly curved spherical and cylindrical shells: An analytical solution

Sharma

Grover

Purohit

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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In the present work, the doubly curved spherical and cylindrical laminated composite shells are modelled and analysed in the framework of non-polynomial axiomatic approach. The inverse hyperbolic shear deformation theory originally developed for the laminated composite plates is extended to model the deformation characteristics of laminated composite shells. The mathematical formulation is developed under the assumption of linear structural kinematics and linear-elastic-orthotropic material behaviour. The governing equations of the model are obtained using the principle of virtual work and solved in exact manner for simply supported boundary conditions following the Navier solution methodology. The bending response of thick and thin spherical and cylindrical shells subjected to different types of transverse loads such as point load, uniform load and sinusoidal load is analysed in the framework of developed methodology. The obtained results due to inverse hyperbolic shear deformation theory are compared with other shell theories and on the basis of this comparison, the validity and applicability of the inverse hyperbolic shear deformation theory for doubly curved spherical and cylindrical shells is ensured.

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Static analysis of a long and thick orthotropic circular cylindrical shell of revolution

Chandrashekhara

Rao

1995

Arch. Appl. Mech.

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Transversely isotropic infinite cylindrical shell subjected to a radial axisymmetric line load

Cited by 6 publications

References 7 publications

3-D analytical solution of non-homogeneous transversely isotropic thick closed cylindrical shells

3-D analytical solution of non-homogeneous transversely isotropic thick closed cylindrical shells

A non-polynomial axiomatic framework for modelling and bending analysis of doubly curved spherical and cylindrical shells: An analytical solution

Static analysis of a long and thick orthotropic circular cylindrical shell of revolution

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