Geodesic
Bifurcations of generalized von Kármán equations for circular viscoelastic plates
Applications of Mathematics, Tome 35 (1990) no. 4, pp. 302-314

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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.
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.
DOI : 10.21136/AM.1990.104412
Classification : 35B32, 47H15, 73F15, 73H05, 73K10, 74G60, 74K20
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 
Brilla, Igor. Bifurcations of generalized von Kármán equations for circular viscoelastic plates. Applications of Mathematics, Tome 35 (1990) no. 4, pp. 302-314. doi: 10.21136/AM.1990.104412
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