Year: 2025
Type: article
Abstract: The boundary value problem of the axisymmetric displacement of a Timoshenko (cylindrical) shell in static regime was considered. From the given nonlinear system of ordinary differential equations with respect to the displacement functions u, w and ψ, using the Green functions, we obtain an integro-differential equation for the function w. This equation, together with the Dirichlet boundary condition, forms the boundary value problem. To obtain an approximate solution of the problem for w we apply the method that includes the Galerkin method and the Jacobi–Cardano iteration. Obtained values of w and of its error estimate are used for constructing the approximations for other displacement functions u and ψ and for estimation of their errors. The results of the numerical experiment are given.
DOI: 10.1051/m2an/2025016
Authors: Jemal Peradze, Nikoloz Kachakhidze
Institutions: Tbilisi State University, Georgian Technical University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid:
OpenAlex ID: W4408235524