Stable and unstable bifurcation in the von Kármán problem for a circular plate

Borisovich, Andrei; Janczewska, Joanna

Abstr. Appl. Anal., Tome 2005 (2005) no. 2, p. 889-899 / Harvested from Project Euclid

Résumé

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.

Publié le : 2005-10-16
Classification:

@article{1135272160,
     author = {Borisovich, Andrei and Janczewska, Joanna},
     title = {Stable and unstable bifurcation in the von K\'arm\'an problem for a circular plate},
     journal = {Abstr. Appl. Anal.},
     volume = {2005},
     number = {2},
     year = {2005},
     pages = { 889-899},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1135272160}
}

Borisovich, Andrei; Janczewska, Joanna. Stable and unstable bifurcation in the von Kármán problem for a circular plate. Abstr. Appl. Anal., Tome 2005 (2005) no. 2, pp.  889-899. http://gdmltest.u-ga.fr/item/1135272160/