Geodesic
Solution of the Föppl – von Kármán equations for square plates
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 4, pp. 26-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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The present paper develops an approach to obtaining solutions of the Föppl – von Kármán equations for square plates, which are based on direct algebraisation of the boundary-value problem. The solution is obtained in term of expansion into basis of the space of square-integrable function. The system of eigenfunction of a linear self-adjoined operator is used as the basis. The expansion coefficients are defined by the reduction method from an infinite-dimensional system of cubic equations. It allows one to consider the proposed solution as non-linear generalisation of classic Galerkin method.
Keywords: square plates, finite deformations, nonlinear equations.
Mots-clés : Föppl – von Kármán equations 
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A. V. Digilov; S. A. Lychev. Solution of the Föppl – von Kármán equations for square plates. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 4, pp. 26-45. http://geodesic.mathdoc.fr/item/VSGU_2024_30_4_a2/

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