Original scientific paper
On the mass modelling in vibration analysis of thin-walled structures using the finite element method
Ivo Senjanović
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, I. Lučića 5, HR-10000 Zagreb, CROATIA
Nikola Vladimir
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, I. Lučića 5, HR-10000 Zagreb, CROATIA
Neven Hadžić
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, I. Lučića 5, HR-10000 Zagreb, CROATIA
Abstract
Modelling of mass in vibration analysis of thin-walled structures using the finite element method has been considered, i.e. consistent and lumped mass matrices have been compared to a newly introduced, simplified mass matrix. The matrices have been specified for a two-noded beam element, three-noded triangular plate element and four-noded rectangular plate element. The simplified mass matrix has been derived on the basis of bar and membrane shape functions instead of the bending ones. As a result, the distributed mass has been considered only to the deflectional degree of freedom. Accuracy and advantage of such a mass matrix formulation is illustrated for the cases of beam and square plate vibrations.
Keywords
thin-walled structures; vibrations; mass modelling; finite element method
Hrčak ID:
185741
URI
Publication date:
18.6.2014.
Visits: 967 *