Arnold tongue predictions of secondary buckling in thin elastic plates (Q1975229)

Stability of the postbuckled state of a thin plate, described by the von Kármán plate theory, is investigated under different in-plane boundary conditions. The relevant partial differential equation is reduced to a system of ordinary differential equations that are solved numerically. This solution is compared with a numerical solution of partial differential equations, and results are presented in a parameter space showing the influence of the boundary conditions on the load at which the secondary bifurcation occurs. The paper is well written. It also contains some ideas for further research.