Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Representations of the frequency response of linear time-periodic systems: adapting to stochastic excitations
Submission Author:
Oscar Sánchez Jiménez , Normandy , France
Co-Authors:
Oscar Sánchez Jiménez, Xiaojing HAN, Emmanuel Pagnacco, Rubens Sampaio
Presenter: Oscar Sánchez Jiménez
doi://10.26678/ABCM.DINAME2023.DIN2023-0130
Abstract
We study a class of mechanical system expressed in terms of non-autonomous second-order systems of Ordinary Differential equations with periodic coefficients under stochastic excitations. From the idea underlying the Harmonic Balance Method, we explore alternative representation basis and transformations to facilitate the study of the response of this class of systems when stochastic forcing functions are considered. The strengths and limitations of different time-frequency techniques are reviewed are discussed, including the multi-scale properties revealed by the Wavelet transform, and the Short-time Fourier transform.
Keywords
LTP systems, Stochastic processes, Harmonic balance method, Time-frequency analysis
