Stable and unstable bifurcation in the von Kármán problem for a circular plate
Andrei Borisovich, Joanna Janczewska · Abstract and Applied Analysis · 2005
In this work, we study bifurcation in the von Kármán equations for a thin circular elastic plate which lies on the elastic base and is simply supported and subjected to a compressive force along the boundary. Applying analytical methods, we prove the existence of stable and unstable simple bifurcation points in the solution set of these equations.