Коливання ортотропної панелі подвійної кривини з множиною включень довільної конфігурації за врахування розподіленого навантаження на поверхні панелі

• Date: 2023
• Main Author: Шопа, Тетяна
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2023
• Subjects: коливання; ортотропна панель подвійної кривини; включення; непрямий метод граничних елементів.
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/248
• Journal Title: Physico-mathematical modeling and informational technologies

In the framework of the refined theory, which takes into account transverse shear deformation, the solution of the problem on the steady state vibrations of the orthotropic doubly curved panel with the arbitrary number of massive absolutely rigid inclusions of the arbitrary configuration that penetrate the panel through all its thickness taking into account harmonic in time arbitrary distributed external load on the surface of the panel is constructed. Inclusions have different types of connections with the panel and are subjected to the action of different systems of harmonic in time external forces with the principal vectors normal to the middle surface of the panel and principal moments about the centers of masses of the inclusions equal to zero. Inclussions are assumed to perform predominantly translational motion along the normal direction to the middle surface of the panel. External boundary of the panel is of arbitrary shape and different types of harmonic in time boundary conditions are considered on its contours. The solution is built on the basis of the indirect boundary elements method. The sequential approach to the representation of the Green’s functions is used. Integral equations are solved by the collocation method.