On non-axisymmetrical buckling modes ofcircular plates under normal pressure

The paper presents the results of a study bifurcation axisymmetric equilibrium forms round plates under various conditions for fixing outer edge. It is shown that case sliding edge, analytical, asymptotic and finite element approaches give close results. When edge plate hinged, buckling to non-axisymmetric state occurs at much higher load with formation smaller number waves than boundary conditions. Difficulties in obtaining numerical solution based on analytical approach are apparently associated need more accurate description stress-strain subcritical plate.