Abstract and Applied Analysis
Volume 2005 (2005), Issue 8, Pages 889-899
doi:10.1155/AAA.2005.889
Stable and unstable bifurcation in the von Kármán problem for a circular plate
Andrei Borisovich1
and Joanna Janczewska2
1Department of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, Gdańsk-Oliwa 80-952, Poland
2Department of Technical Physics and Applied Mathematics, Gdańsk University of Technology, ul. Gabriela Narutowicza 11/12, Gdańsk 80-952, Poland
Abstract
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.