M D Todd et al 2001 Smart Mater. Struct. 10 1000 doi:10.1088/0964-1726/10/5/316
M D Todd1, J M Nichols2, L M Pecora3 and L N Virgin2
Show affiliationsA novel feature extracted from a nonlinear time series is presented within the context of vibration-based damage detection in a system. An eight-degree-of-freedom spring-mass-damper `structure' is considered with damage incurred by a stiffness degradation in one spring. The system is excited with a chaotic input, and by tuning the Lyapunov exponents of the chaotic excitation to the dominant eigenvalue of the structure the dimensionality of the entire system is effectively controlled. Both the input and output are viewed in state space as geometric objects, and the effect of the damage is shown to alter the geometric properties of the corresponding attractors at a local level, which may be captured in construction of the feature. The utility of the feature is compared with that of a number of modal-based features and shown to be superior in resolving capability and in robustness.
Issue 5 (October 2001)
Received 2 April 2001, in final form 13 July 2001
Published 3 October 2001
M D Todd et al 2001 Smart Mater. Struct. 10 1000
S O Reza Moheimani et al 2003 Smart Mater. Struct. 12 49
A Grimpe et al 2005 J. Phys. B: At. Mol. Opt. Phys. 38 135
C K Lo et al 2001 J. Phys.: Condens. Matter 13 1315
Prakash Gupta et al 2006 J. Phys. B: At. Mol. Opt. Phys. 39 1137
S Reucroft et al 2007 J. Phys.: Conf. Ser. 60 187
G Franke et al 1990 Eur. J. Phys. 11 116
Steven T Cundiff 2002 J. Phys. D: Appl. Phys. 35 R43
P Rastall 1994 J. Phys. A: Math. Gen. 27 L147
Kouhyar Tavakolian et al 2008 Physiol. Meas. 29 771