Non-linear dynamics of a whole vehicle finite element model using a harmonic balance method Online publication date: Thu, 16-Oct-2014
by F. Barillon; J.J. Sinou; J.M. Duffal; L. Jézéquel
International Journal of Vehicle Design (IJVD), Vol. 63, No. 4, 2013
Abstract: The aim of this paper is to apply the Harmonic Balance Method (HBM) to a finite element model of a complete vehicle (body, engine and engine mounts) to calculate the non-linear response of the assembly. The non-linear effects come from the amplitude-dependent stiffness of the engine mounts. First, the HBM is presented. A condensation process on the non-linear degrees-of-freedom is also proposed. This process reduces the original non-linear system by focusing only on the solution of the non-linear equations associated with the system's non-linear components. Second, the engine mount stiffness dependency with amplitude is measured on a test bench to estimate a polynomial stiffness law. Finally, the numerical analysis is performed to analyse the non-linear response of the whole vehicle using the HBM algorithm with appropriate condensation located only on the non-linear coordinates of the system to minimise computer time.
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