Longitudinal and transverse bending by a cylindrical shape of the sandwich plate stiffened in the end sections by rigid bodies

11th International Conference on "Mesh methods for boundary-value problems and applications"

Badriev, I.B.^1 ; Makarov, M.V.^1,2 ; Paimuhin, V.N.^1,2

Kazan Federal University, 18 Kremlyovskaya Street, Kazan

420008, Russia^1

Kazan National Research Technical University, 10 K.Marks Street, Kazan

420111, Russia^2

关键词: Collocation method;    Cylindrical shapes;    Deformation mechanics;    Lagrange principles;    Numerical calculation;    Numerical experiments;    Sandwich construction;    Transverse bending;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012011/pdf
DOI  :  10.1088/1757-899X/158/1/012011

来源: IOP

【 摘 要 】

We study the problems of deformation mechanics of sandwich constructions with taking into account the interaction with the contour reinforcing rods. To derive the basic equations of equilibrium, static boundary conditions for the shell and reinforcing rods, as well as conditions of the kinematic conjugation the carrier layers with a core, the carrier layers and a core with reinforcing rods we use a generalized variational Lagrange principle. We reduce the boundary value problem on the to the integral-algebraic system of Volterra equations of the second kind. To approximate the obtained integral equations of Volterra type a collocation method with Gaussian nodes and a method for constructing the integrating matrices are proposed. For the numerical realization of the proposed methods we have developed a software package. Numerical calculations were performed. Analyze the results of numerical experiments is carried out.