Open AccessA recursive finite element method for computing tyre vibrations
Author(s) -
Denis Duhamel,
Silvano Erlicher,
Hoang Giang Nguyen
Publication year - 2011
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.20.9-27
Subject(s) - finite element method , computation , vibration , stiffness matrix , range (aeronautics) , stiffness , noise (video) , structural engineering , matrix (chemical analysis) , mixed finite element method , computer science , mathematical analysis , mathematics , engineering , algorithm , acoustics , physics , materials science , composite material , artificial intelligence , image (mathematics) , aerospace engineering
A numerical method is described for computing tyre vibrations over a large frequency range. It is based on a recursive finite element method for building the dynamic stiffness matrix of a complete tyre from the knowledge of a finite element model of a small part of the structure. The present method is compared to full three-dimensional finite element solutions showing a perfect agreement for low frequencies. However, this method allows computations for medium and high frequencies which are needed for the analysis of noise generated by a tyre. The influence of various parameters on the frequency response functions like the positions where the responses are computed, the mechanical parameters of the tyre or the internal air-pressure are described.