Damage detection in uncertain nonlinear systems based on stochastic Volterra series

Author(s)

Villani, Luis G. G. ^[1] ; da Silva, Samuel ^[1] ; Cunha, Jr., Americo ^[2]

Affiliation

^[1] UNESP Univ Estadual Paulista, Fac Engn Ilha Solteira, Dept Engn Mecan, Ave Brasil 56, BR-15385000 Ilha Solteira, SP - Brazil

^[2] Univ Estado Rio De Janeiro, NUMERICO Nucleus Modeling & Experimentat Comp, R Sao Francisco Xavier 524, BR-20550900 Rio De Janeiro, RJ - Brazil

• Document type: Journal article
• Source: MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 125, p. 288-310, JUN 15 2019.
• Web of Science Citations: 3

Abstract

The damage detection problem in mechanical systems, using vibration measurements, is commonly called Structural Health Monitoring (SHM). Many tools are able to detect damages by changes in the vibration pattern, mainly, when damages induce nonlinear behavior. However, a more difficult problem is to detect structural variation associated with damage, when the mechanical system has nonlinear behavior even in the reference condition. In these cases, more sophisticated methods are required to detect if the changes in the response are based on some structural variation or changes in the vibration regime, because both can generate nonlinearities. Among the many ways to solve this problem, the use of the Volterra series has several favorable points, because they are a generalization of the linear convolution, allowing the separation of linear and nonlinear contributions by input filtering through the Volterra kernels. On the other hand, the presence of uncertainties in mechanical systems, due to noise, geometric imperfections, manufacturing irregularities, environmental conditions, and others, can also change the responses, becoming more difficult the damage detection procedure. An approach based on a stochastic version of Volterra series is proposed to be used in the detection of a breathing crack in a beam vibrating in a nonlinear regime of motion, even in reference condition (without crack). The system uncertainties are simulated by the variation imposed in the linear stiffness and damping coefficient. The results show, that the nonlinear analysis done, considering the high order Volterra kernels, allows the approach to detect the crack with a small propagation and probability confidence, even in the presence of uncertainties. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 12/09135-3 - Structural health monitoring in nonlinear mechanical systems through Volterra models
• Grantee: Samuel da Silva
• Support Opportunities: Research Grants - Young Investigators Grants
• FAPESP's process: 15/25676-2 - Robust damage detection in uncertain nonlinear systems
• Grantee: Luis Gustavo Giacon Villani
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)