Modelling of multi-layered band plates with trapezoidal corrugated cores: stability analysis

The subject of the study is an orthotropic thin-walled sandwich band plate with trapezoidal main core and three-layer facings. The external sheets of the faces are flat, whereas the core of the faces is trapezoidal corrugated. The directions of the corrugations of both cores are perpendicular to each other. The band plate considered in this paper has the crosswise corrugated main core and the lengthwise corrugated core of the faces. The main goal of the study is to solve the problem of buckling and vibrations of the band plates. The mathematical and physical model of this band plate has been formulated, in particular the field of displacement and rigidities of corrugated layers which are both original elements of the work. The system of equations of motion is analytically derived using the energy method. The obtained solutions are verified numerically. The finite element analysis of stability of the sandwich band plate is performed with the use of the ABAQUS and ANSYS systems.