Novel method for detecting the non-linear components in periodic structures

Many real-life systems can be modelled as a periodic structure which is constituted by repeating identical systems which are called elements. The periodic structures have drawn extensive attentions from researchers and engineers. In this study, based on the concept non-linear output frequency response function, a novel method is developed to detect the position of non-linear components in periodic structures. The validity of this method is demonstrated by numerical studies. Although the method assumes that the linear stiffness and damping for multi-degree-of-freedom (MDOF) systems under study are known a priori, the results of the numerical studies indicate that, even if only approximate values of the linear stiffness and damping parameters are used, the method can still correctly detect the position of the non-linear component. Since the position of a non-linear component often corresponds to the location of a defect in a periodic structure, this new method is of great practical significance for fault diagnosis in mechanical and structural systems. Moreover, the method does not involve complicated procedure and can be readily applied in practice.

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