In the present study, the dynamic stability of simply supported, circular cylindrical shells subjected to dynamic axialloads is analysed. Geometric nonlinearities due to finite-amplitude shell motion are considered by using the Donnellsnonlinear shallow-shell theory. The effect of structural damping is taken into account. A discretization method based ona series expansion involving a relatively large number of linear modes, including axisymmetric and asymmetric modes,and on the Galerkin procedure is developed. Axisymmetric modes are included; indeed, they are essential in simulatingthe inward deflection of the mean oscillation with respect to the equilibrium position and in describing the axisymmetricdeflection due to axial loads. A finite length, simply supported shell is considered; the boundary conditions are satisfied,including the contribution of external axial loads acting at the shell edges. The effect of a contained liquid is investigated.The linear dynamic stability and nonlinear response are analysed by using continuation techniques and directsimulations.
Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads / Pellicano, Francesco; M., Amabili. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - STAMPA. - 40:13-14(2003), pp. 3229-3251. [10.1016/S0020-7683(03)00120-3]
Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads
PELLICANO, Francesco;
2003
Abstract
In the present study, the dynamic stability of simply supported, circular cylindrical shells subjected to dynamic axialloads is analysed. Geometric nonlinearities due to finite-amplitude shell motion are considered by using the Donnellsnonlinear shallow-shell theory. The effect of structural damping is taken into account. A discretization method based ona series expansion involving a relatively large number of linear modes, including axisymmetric and asymmetric modes,and on the Galerkin procedure is developed. Axisymmetric modes are included; indeed, they are essential in simulatingthe inward deflection of the mean oscillation with respect to the equilibrium position and in describing the axisymmetricdeflection due to axial loads. A finite length, simply supported shell is considered; the boundary conditions are satisfied,including the contribution of external axial loads acting at the shell edges. The effect of a contained liquid is investigated.The linear dynamic stability and nonlinear response are analysed by using continuation techniques and directsimulations.Pubblicazioni consigliate
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