Journal of Theoretical
and Applied Mechanics
48, 1, pp. 207-217, Warsaw 2010
and Applied Mechanics
48, 1, pp. 207-217, Warsaw 2010
Non-linear analysis of dynamic stability of metal foam circular plate
The subject of the paper is a circular plate under radial compression. The plate is made of metal foam. Properties of the plate vary across its thickness. The middle plane of the plate is its symmetry plane. The field of displacement of any cross section of the plate, nonlinear components of the strain field and the stress field are defined. Basing on the Hamilton principle, a system of differential equations of dynamic stability of the plate is formulated. This basic system of equations is approximately solved. The results of the studies are compared to the homogeneous circular plate and shown in figures.
Keywords: metal foam plate; critical load; dynamic