Open Access Open Access  Restricted Access Subscription or Fee Access

Geometrically Nonlinear Transverse Vibrations of Discrete Multi-Degrees of Freedom Systems with a Localised Non-Linearity

A. Eddanguir, Z. Beidouri, R. Benamar


The purpose of this paper is to extend the method developed, for the solution of the problem of transverse nonlinear vibration of 2-dof systems to N-dof systems, with localized non-linearity. It is to recall that this method is based on the principle of Hamilton and spectral analysis. The method has been successfully used previously to solve the problem of nonlinear vibrations of beams, rectangular and circular plates and shells. The mass tensor, the linear and nonlinear rigidity tensors are expressed in both the displacement basis, denoted in what follows as DB, and the modal basis, denoted as MB. The application of the method to N-dof systems is then developed in the MB. To show the validity and the consistence of this approach, a 5-dof non symmetric system with a localised non-linearity has been treated.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.