| Инд. авторы: | Golushko S.K., Idimeshev S.V., Shapeev V.P. |
| Заглавие: | Hp-version of vollocation and least residuals method in mechanics of laminated composite plates |
| Библ. ссылка: | Golushko S.K., Idimeshev S.V., Shapeev V.P. Hp-version of vollocation and least residuals method in mechanics of laminated composite plates // CEUR Workshop Proceedings. - 2017. - Vol.1839. - P.299-311. - ISSN 1613-0073. |
| Внешние системы: | РИНЦ: 31026007; SCOPUS: 2-s2.0-85020550516; |
| Реферат: | eng: A version of collocations and least residuals method (CLS) based on polynomial approximation of high degree (p -Approach) was proposed and implemented. In rectangular domains collocation points are selected using the roots of Chebyshev polynomials and approximate solution is represented in the form of direct products of Chebyshev polynomials series. It was shown that the use of p -Approach in the CLS method allows to obtain numerical solutions with high accuracy and to implement complex boundary conditions with no special techniques. The numerical method used to solve a problem of bending of laminated anisotropic rectangular plates within frameworks of classical laminated plate theory, first order shear deformation theory and Grigolyuk-Chulkov's broken line theory. Several specific example problems are solved, including fixed three-ply laminates with transversely isotropic layers under transverse uniform loading. |
| Издано: | 2017 |
| Физ. характеристика: | с.299-311 |
| Конференция: | Название: Международная конференция «Математические и информационные технологии, MIT-2016» Аббревиатура: MIT-2016 Город: Врнячка Баня, Будва Страна: Сербия, Черногория Даты проведения: 2016-08-28 - 2016-09-05 Ссылка: http://conf.nsc.ru/MIT-2016 |
