Spectral methods application in problems of the thin-walled‎ structures deformation

D Tkachenko, Y Tsegelnyk, S Myntiuk… - Journal of Applied and …, 2022 - jacm.scu.ac.ir
The spectral method (p-FEM) is used to solve the problem of a thin-walled structure
deformation, such as a stiffened panel. The problem of the continuous conjugation of the …

Analytical methods for determining the static and dynamic behavior of thin-walled structures during machining

S Plankovskyy, V Myntiuk, Y Tsegelnyk… - International scientific …, 2020 - Springer
The flexibility of thin-walled component and presence of a low natural vibrations frequency
significantly affects the efficiency and accuracy of the milling, so inevitably arise the problem …

Postbuckling of a uniformly compressed simply supported plate with free in-plane translating edges

VB Myntiuk - Journal of Applied and Industrial Mathematics, 2020 - Springer
The postbuckling of a Kirchhoff isotropic simply supported plate is considered in detail. The
in-plane displacements on the edges of the plate are not constrained. The solution is …

Spectral solution to a problem on the axisymmetric nonlinear deformation of a cylindrical membrane shell due to pressure and edges convergence

V Myntiuk - Eastern-European Journal of Enterprise Technologies, 2021 - papers.ssrn.com
A geometrically and physically nonlinear model of a membrane cylindrical shell, which has
been built and tested, describes the behavior of a airbag made of fabric material. Based on …

Nonlinear postbuckling behavior of a simply supported, uniformly compressed rectangular plate

SG Kravchenko, V Myntiuk - Integrated Computer Technologies in …, 2020 - Springer
The geometrically nonlinear deformation theory is used for the far post-buckling analysis of a
uniformly compressed rectangular plate. The plate geometrically nonlinear deformation …

Закритическое поведение равномерно сжатой свободно опёртой пластины со свободно смещающимися в плоскости пластины краями

ВБ Минтюк - Сибирский журнал индустриальной математики, 2020 - mathnet.ru
Рассмотрено закритическое поведение кирхгофовской изотропной свободно опёртой
пластины. Перемещения в плоскости пластины на границе не стеснены. Решение …