Vibration of orthotropic doubly curved panel with a set of cutouts of arbitrary configuration taking into account distributed load on the surface of the panel

Abstract

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 cutouts of arbitrary configuration taking into account harmonic in time arbitrary distributed external load on the surface of the panel is constructed. External boundary of the panel is of arbitrary shape. Different types of harmonic in time boundary conditions are considered on the contours of the cutouts and on the contours of the external boundary of the panel. 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.