On the mass modelling in vibration analysis of thin-walled structures using the finite element method (CROSBI ID 207165)
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Senjanović, Ivo ; Vladimir, Nikola ; Hadžić, Neven
engleski
On the mass modelling in vibration analysis of thin-walled structures using the finite element method
Modelling of mass in vibration analysisi 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-noden triangulčar plate element and four-noded rectangular element. The simplified mass matrix has been derived on the basis of bar and membrane shape functions instead of bending ones. As a result, the distributed mass has been considered only to the deflection degree of freedom. Accuracy and advantage of such a mass matrix formulation is illustrated for the cases of beam and square plate vibrations.
Thin-walled structures; Vibrations; Mass modelling; Finite element method
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