Власні функції осесиметричних бігармонічних задач для скінченного циліндра

Eigenfunctions of axially symmetric biharmonic problems for a finite cylinder are considered. The ends of the cylinder are free of loads or fixed. The obtained systems of transcendental equations have been numerically analyzed and asymptotic representations for the roots of these systems have been o...

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Bibliographic Details
Date:2021
Main Author: Postolaki, L. I.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів
Format: Article
Language:Ukrainian
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2021
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Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2021.19.19-24
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Journal Title:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky
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Summary:Eigenfunctions of axially symmetric biharmonic problems for a finite cylinder are considered. The ends of the cylinder are free of loads or fixed. The obtained systems of transcendental equations have been numerically analyzed and asymptotic representations for the roots of these systems have been obtained. Cite as: L. I. Postolaki, “Eigenfunctions of axially symmetric biharmonic problems for a finite cylinder,” Prykl. Probl. Mekh. Mat., Issue 19, 19–24 (2021) (in Ukrainian), https://doi.org/10.15407/apmm2021.19.19-24