%0 Journal Article
%T Finite element approximation of the vibration problem for a Timoshenko curved rod
%A Hern¨¢ndez
%A E.
%A Ot¨¢rola
%A E.
%A Rodr¨ªguez
%A R.
%A Sanhueza
%A F.
%J Revista de la Uni£¿3n Matem£¿£¿tica Argentina
%D 2008
%I Uni¨®n Matem¨¢tica Argentina
%X the aim of this paper is to analyze a mixed finite element method for computing the vibration modes of a timoshenko curved rod with arbitrary geometry. optimal order error estimates are proved for displacements and rotations of the vibration modes, as well as a double order of convergence for the vibration frequencies. these estimates are essentially independent of the thickness of the rod, which leads to the conclusion that the method is locking free. a numerical test is reported in order to assess the performance of the method.
%K timoshenko curved rods
%K finite element method
%K vibration problem.
%U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322008000100003&lng=en&nrm=iso&tlng=en