This paper deals with the application of the differential quadrature method to the linear elastic static analysis of isotropic rotational shells. The governing equations of equilibrium, in terms of stress resultants and couples, are those from Reissner–Mindlin shear deformation shell theory. These equations, written in terms of the circular harmonic amplitudes of the stress resultants, are first put into generalized displacements form by the use of strain–displacement relationships and constitutive equations. The resulting systems are solved by means of the differential quadrature technique with favourable precision, leading to accurate stress patterns.

A differential quadrature method solution for shear-deformable shells of revolution

VIOLA, ERASMO
2005

Abstract

This paper deals with the application of the differential quadrature method to the linear elastic static analysis of isotropic rotational shells. The governing equations of equilibrium, in terms of stress resultants and couples, are those from Reissner–Mindlin shear deformation shell theory. These equations, written in terms of the circular harmonic amplitudes of the stress resultants, are first put into generalized displacements form by the use of strain–displacement relationships and constitutive equations. The resulting systems are solved by means of the differential quadrature technique with favourable precision, leading to accurate stress patterns.
Edoardo Artioli; Phillip L. Gould; Erasmo Viola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/16286
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