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On the multiplicity of solutions to Marguerre–von Kármán membrane equations

✍ Scribed by Alain Léger; Bernadette Miara

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
155 KB
Volume
84
Category
Article
ISSN
0021-7824

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✦ Synopsis

We build explicitly an infinite number of equilibrium solutions of unloaded Marguerre-von Kármán membrane shells. This construction is based upon the existence of three elementary solutions, together with the solution of a Monge-Ampère equation associated with a partition of the reference configuration of the shell. These solutions are characterized as stationary points of energy functionals depending on the partition.

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