A locking-free finite element method for the buckling problem of a non-homogeneous Timoshenko beam
Articolo
Data di Pubblicazione:
2011
Citazione:
A locking-free finite element method for the buckling problem of a non-homogeneous Timoshenko beam / C. Lovadina, D. Mora, R. Rodríguez. - In: MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE. - ISSN 0764-583X. - 45:4(2011 Jul), pp. 603-626. [10.1051/m2an/2010071]
Abstract:
The aim of this paper is to develop a finite element method which allows computing the buckling coefficients and modes of a non-homogeneous Timoshenko beam. Studying the spectral properties of a non-compact operator, we show that the relevant buckling coefficients correspond to isolated eigenvalues of finite multiplicity. Optimal order error estimates are proved for the eigenfunctions as well as a double order of convergence for the eigenvalues using classical abstract spectral approximation theory for non-compact operators. These estimates are valid independently of the thickness of the beam, which leads to the conclusion that the method is locking-free. Numerical tests are reported in order to assess the performance of the method.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
eigenvalue problems; finite element approximation; timoshenko beams; analysis; applied mathematics; modeling and simulation; numerical analysis
Elenco autori:
C. Lovadina, D. Mora, R. Rodríguez
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