Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube (Q1570202)
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scientific article; zbMATH DE number 1471619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube |
scientific article; zbMATH DE number 1471619 |
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Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube (English)
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23 October 2000
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Axisymmetric radial oscillations of an infinitely long, hyperelastic cylindrical tube of Mooney-Rivlin material are considered. This leads to a nonlinear, second-order differential equation. By means of a Lie symmetry analysis nonlinear superposition can be applied in this case. Some approximate solution is also proposed.
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finite elasticity
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Lie point symmetries
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symmetry breaking
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limiting oscillations
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first integral
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nonlinear superposition
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0.8582919
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0.8527761
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0.84175986
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0.8405075
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0.8393492
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0.83729887
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