1. A method for detection and characterisation of structural non-linearities using the Hilbert transform and neural networks.
- Author
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Ondra, V., Sever, I.A., and Schwingshackl, C.W.
- Subjects
- *
HILBERT transform , *ARTIFICIAL neural networks , *PARAMETERS (Statistics) , *NONLINEAR systems , *STRUCTURAL analysis (Engineering) - Abstract
This paper presents a method for detection and characterisation of structural non-linearities from a single frequency response function using the Hilbert transform in the frequency domain and artificial neural networks. A frequency response function is described based on its Hilbert transform using several common and newly introduced scalar parameters, termed non-linearity indexes, to create training data of the artificial neural network. This network is subsequently used to detect the existence of non-linearity and classify its type. The theoretical background of the method is given and its usage is demonstrated on different numerical test cases created by single degree of freedom non-linear systems and a lumped parameter multi degree of freedom system with a geometric non-linearity. The method is also applied to several experimentally measured frequency response functions obtained from a cantilever beam with a clearance non-linearity and an under-platform damper experimental rig with a complex friction contact interface. It is shown that the method is a fast and noise-robust means of detecting and characterising non-linear behaviour from a single frequency response function. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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