Problems of maximizing the compliance of curvilinear rods (Q2761377)
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scientific article; zbMATH DE number 1683419
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Problems of maximizing the compliance of curvilinear rods |
scientific article; zbMATH DE number 1683419 |
Statements
18 December 2001
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thin curvilinear rod
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maximal compliance
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boundary value problem
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Euler equation
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infinite set of solutions
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analytical solutions
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Problems of maximizing the compliance of curvilinear rods (English)
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The authors discuss the design of a support element with maximal compliance for artificial crystalline lens. To this end they propose a model of thin curvilinear rod of constant cross-section and specified length. It is shown that the corresponding boundary value problem for nonlinear Euler equation admits a set (possibly denumerable) of solutions. One of these solutions realizes the absolute maximum of compliance, while the others the local maxima.
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