Коливання ортотропної циліндричної оболонки з множиною включень довільної конфігурації: Fìz.-mat. model. ìnf. tehnol. 2017, 26:112-121

• Date: 2018
• Main Author: Shopa, Tetiana
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2018
• Subjects: ортотропна циліндрична оболонка; включення; секвенціальний підхід; непрямий метод граничних елементів; коливання; частоти вільних коливань
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/21
• Journal Title: Physico-mathematical modeling and informational technologies

In the framework of the refined theory, which takes into account transverse shear deformation and all inertial components, the solution of the problem on the steady state vibrations of the orthotropic closed cylindrical shell with the arbitrary number of rigid inclusions of the arbitrary geometrical form, orientation, and location is constructed. External boundaries of the shell are of the arbitrary geometrical configuration. Arbitrary harmonic in time boundary conditions are considered on the external boundaries of the shell. The inclusions have different types of connections with the shell. The solution is built on the basis of the indirect boundary elements method and the sequential approach to the representation of the Green's function. The boundary value problem is reduced to the system of algebraic equations. References Shopa, T. (2013). Kolyvannia ortotropnoi tsylindrychnoi obolonky z mnozhynoiu vkliuchen dovilnoi konfihuratsii, zhorstko ziednanykh z obolonkoiu. Visnyk TNTU, 2, 41-55. Shopa, T. (2013). Kolyvannia ortotropnoi paneli podviinoi kryvyny z mnozhynoiu vkliuchen dovilnoi konfihuratsii z pruzhnymy prosharkamy. Visnyk TNTU, 1, 71-84. Shopa, T. (2016). Kolyvannia ortotropnoi tsylindrychnoi obolonky z mnozhynoiu vkliuchen dovilnoi konfihuratsii na sharnirnomu ziednanni z obolonkoiu. Prykarpatskyi visnyk NTSh. Chyslo, 1, 26-45. Shopa, T. (2012). Kolyvannia ortotropnoi tsylindrychnoi obolonky z mnozhynoiu otvoriv dovilnoi konfihuratsii. Visnyk TNTU, 4(68), 14-28. Burak, Ya. Y., Rudavskyi, Yu. K., Sukhorolskyi, M.A. (2007). Analitychna mekhanika lokalno navantazhenykh obolonok. Lviv: Intelekt-Zakhid. Sukhorolskyi, M. A. (2010). Poslidovnosti i riady. Lviv:Rastr-7. Lighthill, J. (1958). Introduction to Fourier Analysis and Generalised Functions. Cambridge University Press.