Differential Properties of the Operator of the Geometrically Nonlinear Problem of a Sandwich Plate Bending
- Авторлар: Badriev I.1, Bujanov V.1, Makarov M.1,2
-
Мекемелер:
- Institute of Computational Mathematics and Information Technologies
- Institute of Aviation, Land Vehicles and Energetics
- Шығарылым: Том 40, № 3 (2019)
- Беттер: 263-273
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204056
- DOI: https://doi.org/10.1134/S1995080219030041
- ID: 204056
Дәйексөз келтіру
Аннотация
The geometrically nonlinear bending problem of a sandwich plate with a transversally soft core in a one-dimensional formulation is considered. A generalized formulation of the problem in the form of an operator equation in Sobolev space is obtained. The differential properties of the operator of this equation are investigated. It is proved that the operator of the equation is differentiate according to Gâlteaux. It is established that the Gâlteaux derivative is a continuous operator. Therefore, the operator is also differentiate Fréchet derivative wherein the Gato derivative coincides with the Fréchet derivative.
Авторлар туралы
I. Badriev
Institute of Computational Mathematics and Information Technologies
Хат алмасуға жауапты Автор.
Email: ildar.badriev1@mail.ru
Ресей, ul. Kremlevskaya 35, Kazan, 420008
V. Bujanov
Institute of Computational Mathematics and Information Technologies
Хат алмасуға жауапты Автор.
Email: ahumellihuk5871@gmail.com
Ресей, ul. Kremlevskaya 35, Kazan, 420008
M. Makarov
Institute of Computational Mathematics and Information Technologies; Institute of Aviation, Land Vehicles and Energetics
Хат алмасуға жауапты Автор.
Email: makarovmaksim@mail.ru
Ресей, ul. Kremlevskaya 35, Kazan, 420008; ul. K. Marksa 10, Kazan, 420111
![](/img/style/loading.gif)