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The Stability of Anisotropic Cylindrical Shells Under Torsion in Spatial Position

The Stability of Anisotropic Cylindrical Shells Under Torsion in Spatial Position AbstractIn the present paper, an infinite system of homogeneous differential equations in the Cauchy normal form was obtained to solve the problem of the stability of cylindrical anisotropic layered shells under the action of external torque, based on the spatial relationship of elasticity theory. The components of the stress state that are necessary to solve the equation system were derived analytically by using the generalised Hooke’s law. The results are obtained for a single-layer cylinder, and compared with the values of critical loads calculated using the well-known method proposed by Lechnitsky. The suggested approach could be implemented, for instance, to solve the problem of cylindrical two-layer shell stability under the action of torque, which is projected by calculating the shear stress. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Scientiarum Polonorum Architectura de Gruyter

The Stability of Anisotropic Cylindrical Shells Under Torsion in Spatial Position

Acta Scientiarum Polonorum Architectura , Volume 19 (1): 7 – Mar 1, 2020

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Publisher
de Gruyter
Copyright
© 2020 Andrei Podvornyi, published by Sciendo
eISSN
2544-1760
DOI
10.22630/aspa.2020.19.1.11
Publisher site
See Article on Publisher Site

Abstract

AbstractIn the present paper, an infinite system of homogeneous differential equations in the Cauchy normal form was obtained to solve the problem of the stability of cylindrical anisotropic layered shells under the action of external torque, based on the spatial relationship of elasticity theory. The components of the stress state that are necessary to solve the equation system were derived analytically by using the generalised Hooke’s law. The results are obtained for a single-layer cylinder, and compared with the values of critical loads calculated using the well-known method proposed by Lechnitsky. The suggested approach could be implemented, for instance, to solve the problem of cylindrical two-layer shell stability under the action of torque, which is projected by calculating the shear stress.

Journal

Acta Scientiarum Polonorum Architecturade Gruyter

Published: Mar 1, 2020

Keywords: cylinder; stability; anisotropy; torsion; spatial formulation

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