Buckling and vibrations of seven-layer beams with lengthwise corrugated main core
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] pracownik
2015
referat
angielski
- sandwich structures
- orthotropic thin-walled beam
- buckling
- vibrations
- mathematical modelling
EN The paper is focused on one orthotropic thin-walled sandwich beam with a trapezoidal core and three-layer facings. The inner layers of facings are trapezoidal corrugated - in perpendicular direction to the corrugation of the main core, but the outer layers are flat. The beam is attached a lengthwise corrugated main core and crosswise corrugated inner layers of facings. The mathematical and physical model of this beam is formulated, the field of displacements is obtained. Based on Hamilton's principle the equations of motion are derived for the considered beam and their analytical solutions are given. The main goal of the study is to solve the problem of buckling. The critical load, and the natural frequency of the beam are computed.
925 - 926