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.

A formal method for improving the transient behaviour of a non-linear flexible link

MACCHELLI, ALESSANDRO;MELCHIORRI, CLAUDIO
2011

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/96309
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