Bifurcations of generalized von Kármán equations for circular viscoelastic plates
Aplikace matematiky (1990)
- Volume: 35, Issue: 4, page 302-314
- ISSN: 0862-7940
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topBrilla, Igor. "Bifurcations of generalized von Kármán equations for circular viscoelastic plates." Aplikace matematiky 35.4 (1990): 302-314. <http://eudml.org/doc/15632>.
@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 -
References
top- I. Brilla, Bifurcation Theory of the Time-Dependent von Karman Equations, Aplikace matematiky, 29 (1984), 3-13. (1984) Zbl0538.45006MR0729948
- I. Brilla, Equivalent Formulations of Generalized von Kármán Equations for Circular Viscoelastic Plates, Aplikace matematiky, 35 (1990), 237-251. (1990) Zbl0727.73030MR1052745
- N. Distéfano, Nonlinear Processes in Engineering, Academic press, New York, London 1974. (1974) MR0392042
- Ľ. Marko, The number of Buckled States of Circular Plates, Aplikace matematiky, 34 (1989), 113-132. (1989) Zbl0682.73036MR0990299
- F. G. Tricomi, Integral equations, lnterscience Publishers, New York, 1957. (1957) Zbl0078.09404MR0094665
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