Experimental identification of a non-linear beam, conditionned reverse path method

A new spectral approach for identification of multi-degree-of-freedom nonlinear
systems, called the conditioned reverse path method, has recently been introduced. The
key idea of this method is to eliminate the distortions caused by the presence of non-linearities
in frequency response functions. Conditioned frequency responses are then computed and
yield the underlying linear properties without influence of non-linearities. The non-linear
coefficient is estimated in a second step.
The aim of the paper is twofold. Firstly, the conditioned reverse path method is described in
details together with the spectral conditioning techniques. Secondly, the ability of this
technique to identify the behaviour of an experimental cantilever beam with a geometrical
non-linearity is tested.