Axisymmetric Bend and Stability of Triple Layer Round Plates with Light Filler

摘要

The axisymmetric deflection of a triple-layered plate under transverse and longitudinal loads was investigated analytically. In part one, the case of transverse load deflection is considered. The governing equilibrium displacement equations are written in polar coordinates for uniform plate deflection w. The solution is discussed for three types of boundary conditions: plate fixed along its circumference, the two supporting layers hinged, and the freely supported plated. In part two, the bending is studied under the simultaneous action of a uniformly distributed load and a compressive force T, acting on the plate edges. The solution is given for a freely supported plate, the plate freely supported on the edges but with no displacement. Finally, in part three, the stability of the circular plate is studied under a compressive force. The solution is given graphically, and it is shown that the critical load depends on the boundary conditions used. (Author)