Solution multiplicity of circular plate
Ľubomír Marko · PAMM · 2008
Abstract We deal with the number of solutions for the system of von Kármán equations for a thin elastic circular plate of constant thickness. The plate is subjected to a uniform compressive thrust along its edge in the midplane of the plate. The thrust is proportional to a real parameter λ. We assume rotationally symmetric case. Let λ1<λ3<…λn… be the critical values of the real parameter. For λ∈[λn,λn+1] the multiplicity of solutions in dependence of parameter λ is analyzed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)