This article presents a procedure for improving the transient response of a boundarycontrolled non-linear flexible elastic beam through a feed-forward action. It is shown that it is possible to obtain a formal analytic solution of an infinite-dimensional linear system, which approximates the non-linear dynamics, under time-varying boundary conditions in terms of the free vibration modes of the structure, whose calculation is a relatively easy task. The feed-forward action is then obtained by inverting the relationship between input and output variables. A numerical example is presented and some simulation results are discussed.
Titolo: | A formal method for improving the transient behaviour of a non-linear flexible link |
Autore/i: | MACCHELLI, ALESSANDRO; MELCHIORRI, CLAUDIO |
Autore/i Unibo: | |
Anno: | 2011 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/13873954.2010.537508 |
Abstract: | This article presents a procedure for improving the transient response of a boundarycontrolled non-linear flexible elastic beam through a feed-forward action. It is shown that it is possible to obtain a formal analytic solution of an infinite-dimensional linear system, which approximates the non-linear dynamics, under time-varying boundary conditions in terms of the free vibration modes of the structure, whose calculation is a relatively easy task. The feed-forward action is then obtained by inverting the relationship between input and output variables. A numerical example is presented and some simulation results are discussed. |
Data prodotto definitivo in UGOV: | 2013-06-27 11:23:55 |
Appare nelle tipologie: | 1.01 Articolo in rivista |