scientific article; zbMATH DE number 7328592

zbMath1474.65323MaRDI QIDQ5856656

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Publication date: 29 March 2021

Full work available at URL: http://ajmaa.org/cgi-bin/paper.pl?string=v18n1/V18I1P11.tex

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zbMATH Keywords

Sobolev spacefinite element methodHilbert spacevariational formulationeigenvalues and eigenfunctionsNewmark methodsoil-pile interactionLax-Milgram

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• Free vibration analysis of beams on variable Winkler elastic foundation by using the differential transform method

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