Approximation of the problem on eigenvibrations of a string with attached load

DOI10.1134/S1995080222070150zbMath1497.65213OpenAlexW4290000461MaRDI QIDQ2675008

L. N. Koronova, D. M. Korosteleva, Anton A. Samsonov, Sergei I. Solov'ev

Publication date: 20 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222070150

zbMATH Keywords

eigenvaluefinite element methodeigenvalue problemordinary differential equationeigenfunctionstringloadeigenvibrations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Linear elasticity with initial stresses (74B10) Plates (74K20) Shells (74K25) PDEs with low regular coefficients and/or low regular data (35R05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• Eigenvibrations of a beam with load
• Quadrature finite element method for elliptic eigenvalue problems
• Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem
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