Ja. Brandon et C. Sudraud, AN EXPERIMENTAL INVESTIGATION INTO THE TOPOLOGICAL STABILITY OF A CRACKED CANTILEVER BEAM, Journal of sound and vibration, 211(4), 1998, pp. 555-569
In the study reported here, a vibrating polymeric cantilever beam was
found to exhibit two distinct non-linear behaviour patterns. It is dem
onstrated that switching between these behaviour modes can be initiate
d by varying modal participation in a number of different ways: by cha
nging the position of the exciter or the crack; by changing the amplit
ude of excitation; by changing the crack-depth ratio; or by changing t
he frequency of excitation. The indicator of transition between behavi
our modes was the onset of period doubling. Clearly defined regions in
the parameter space were identified. (C) 1998 Academic Press Limited.