The paper deals with the analysis of generalized von Kármán equations which describe stability of a thin circular clamped viscoelastic plate of constant thickness under a uniform compressive load which is applied along its edge and depends on a real parameter, and gives results for the linearized problem of stability of viscoelastic plates. An exact definition of a bifurcation point for the generalized von Kármán equations is given. Then relations between the critical points of the linearized problem and the bifurcation points are analyzed.
@article{104412,
author = {Igor Brilla},
title = {Bifurcations of generalized von K\'arm\'an equations for circular viscoelastic plates},
journal = {Applications of Mathematics},
volume = {35},
year = {1990},
pages = {302-314},
zbl = {0725.73044},
mrnumber = {1065004},
language = {en},
url = {http://dml.mathdoc.fr/item/104412}
}
Brilla, Igor. Bifurcations of generalized von Kármán equations for circular viscoelastic plates. Applications of Mathematics, Tome 35 (1990) pp. 302-314. http://gdmltest.u-ga.fr/item/104412/
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