Skip to Main content Skip to Navigation
New interface
Conference papers

Characterization of nonlinear, nonstationary systems in operational modal analysis using wavelet transform

Abstract : This study focuses on the characterization of nonstationary, weakly nonlinear, weakly damped mechanical systems, subjected to an unknown ambient excitation modeled as white Gaussian noise. A theoretical analysis using a novel approach of a one degree of freedom system, whose dynamic response is investigated in time domain as a Markov process, allows simple relations to be established on the expectation and standard deviation of its amplitude and instantaneous frequency. This theoretical study of the system behavior is coupled with the use of the Continuous Wavelet Transform (CWT) ridge, which gives the amplitude and instantaneous frequency of its vibrations. A discussion on the tuning of the mother wavelet function for the analysis of these signals is presented. A simple procedure based on the use of the CWT, characterizing the system's nonlinear, nonstationary behavior, is then proposed. Finally, numerical simulations are carried out, and the proposed method is implemented. Results show good agreement with those of the theoretical study.
Document type :
Conference papers
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03779116
Contributor : Ifsttar Cadic Connect in order to contact the contributor
Submitted on : Friday, September 16, 2022 - 2:24:16 PM
Last modification on : Wednesday, September 28, 2022 - 5:45:07 AM

File

doc00035219.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03779116, version 1

Collections

Citation

Raphaël Carpine, Pierre Argoul, Claude Rospars. Characterization of nonlinear, nonstationary systems in operational modal analysis using wavelet transform. ISMA-USD Noise and Vibration Engineering Conference 2022, Sep 2022, Louvain, Belgium. ⟨hal-03779116⟩

Share

Metrics

Record views

6

Files downloads

1