Buckling and vibrations of sandwich rectangular plates with trapezoidal core and three-layer faces
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ 2 ] Instytut Mechaniki Stosowanej, Wydział Budowy Maszyn i Zarządzania, Politechnika Poznańska | [ P ] pracownik
2015
abstrakt
angielski
- sandwich structures
- orthotropic thin-walled plate
- buckling
- vibrations
- mathematical modelling
EN The subject of the paper is a simply supported rectangular sandwich plate. The plate is compressed in plane. An orthotropic thinwalled sandwich plate with trapezoidal core and three-layer facings is considered. The inner layers of facings are trapezoidal corrugated – in perpendicular direction to the corrugation of the main core, but outer layers are flat. The mathematical and physical model of the plate is formulated, the field of displacements too. Buckling and vibrations problems of the plate are investigated. Based on Hamilton’s principle the equations of motion are derived for the considered plate and their analytical solutions are given. Critical loads for a family of sandwich plates are numerically determined. Results of the calculation are shown in figures.
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