The asymptotic solving equations of thick ring shell and their solution under moment \(M_ 0\) (Q1804425)
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scientific article; zbMATH DE number 755021
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The asymptotic solving equations of thick ring shell and their solution under moment \(M_ 0\) |
scientific article; zbMATH DE number 755021 |
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The asymptotic solving equations of thick ring shell and their solution under moment \(M_ 0\) (English)
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12 December 1995
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Elbow ring shells (also known as toroidal shells) are considered in the limiting case as \(r_0/R_0 \to 0\). This means, the shell is a tube with the radius \(r_0\), which is weakly curved, and the radius of the outer curvature is \(R_0\). Starting from three-dimensional equations of elasticity in curvilinear coordinates, a sequence of asymptotic equations is derived. Some information about the behaviour of the shells can be deduced from this equations.
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perturbation
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stress distribution
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toroidal shells
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curvilinear coordinates
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