Approximation of the vibration modes of a Timoshenko curved rod of arbitrary geometry |
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Authors: | Hernandez Erwin; Otarola Enrique; Rodriguez Rodolfo; Sanhueza Frank |
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Institution: |
Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile
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Abstract: |
Rodolfo Rodríguez The aim of this paper is to analyse a mixed finite-element methodfor computing the vibration modes of a Timoshenko curved rodwith arbitrary geometry. Optimal order error estimates are provedfor displacements, rotations and shear stresses of the vibrationmodes, as well as a double order of convergence for the vibrationfrequencies. These estimates are essentially independent ofthe thickness of the rod, which leads to the conclusion thatthe method is locking-free. Numerical tests are reported inorder to assess the performance of the method. |
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Keywords: | Timoshenko curved rods finite-element method vibration problem |
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