Bifurcations of generalized von Kármán equations for circular viscoelastic plates

@article{Brilla1990,
abstract = {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.},
author = {Brilla, Igor},
journal = {Aplikace matematiky},
keywords = {von Kármán equations; viscoelastic plates; bifurcations; Volterra operator; relations between critical points and bifurcation points; circular clamped von Kármán plates; linearized viscoelastic stability problem; operator formulation; Volterra operator; relations between critical points and bifurcation points; circular clamped von Kármán plates; linearized viscoelastic stability problem; operator formulation},
language = {eng},
number = {4},
pages = {302-314},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bifurcations of generalized von Kármán equations for circular viscoelastic plates},
url = {http://eudml.org/doc/15632},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Brilla, Igor
TI - Bifurcations of generalized von Kármán equations for circular viscoelastic plates
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 4
SP - 302
EP - 314
AB - 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.
LA - eng
KW - von Kármán equations; viscoelastic plates; bifurcations; Volterra operator; relations between critical points and bifurcation points; circular clamped von Kármán plates; linearized viscoelastic stability problem; operator formulation; Volterra operator; relations between critical points and bifurcation points; circular clamped von Kármán plates; linearized viscoelastic stability problem; operator formulation
UR - http://eudml.org/doc/15632
ER -