Singular perturbation solutions of the nonlinear stability problem for truncated shallow spherical shell under linear distributed loads along the interior edge (Q1310545)
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scientific article; zbMATH DE number 482190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular perturbation solutions of the nonlinear stability problem for truncated shallow spherical shell under linear distributed loads along the interior edge |
scientific article; zbMATH DE number 482190 |
Statements
Singular perturbation solutions of the nonlinear stability problem for truncated shallow spherical shell under linear distributed loads along the interior edge (English)
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23 March 1994
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We study by means of the singular perturbation method the nonlinear stability problem for a truncated circular shallow spherical shell with a clamped external edge and free interior edge with a hole at the center under linear distributed loads along the interior edge. The uniformly valid asymptotic solutions of this boundary value problem are obtained for large values of a geometrical parameter, and the remainder terms are estimated. In addition, the more precise formula for the critical load is provided.
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uniformly valid solutions
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large geometrical parameter
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clamped external edge
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free interior edge
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critical load
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0.9359491
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0.9353841
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0.9272369
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0.9268148
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0.9118203
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