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

Alessandro Macchelli and Claudio Melchiorri

Mathematical and Computer Modelling of Dynamical Systems, 2010, vol. 17, issue 1, 3-18

Abstract: This article presents a procedure for improving the transient response of a boundary-controlled 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.

Date: 2010
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DOI: 10.1080/13873954.2010.537508

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