Please use this identifier to cite or link to this item:
Title: Multiple scales analysis of nonlinear oscillations of a portal frame foundation for several machines
Keywords: Nonlinear Oscillations
Perturbation Methods
Issue Date: 30-May-2013
Publisher: The Brazilian Society of Mechanical Sciences
Description: An analytical study of the nonlinear vibrations of a multiple machines portal frame foundation is presented. Two unbalanced rotating machines are considered, none of them resonant with the lower natural frequencies of the supporting structure. Their combined frequencies is set in such a way as to excite, due to nonlinear behavior of the frame, either the first anti-symmetrical mode (sway) or the first symmetrical mode. The physical and geometrical characteristics of the frame are chosen to tune the natural frequencies of these two modes into a 1:2 internal resonance. The problem is reduced to a two degrees of freedom model and its nonlinear equations of motions are derived via a Lagrangian approach. Asymptotic perturbation solutions of these equations are obtained via the Multiple Scales Method.
Other Identifiers:
Appears in Collections:Technology and Engineering

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.