Non-stationary mechanical vibration modeling and analysis via functional series tarma models

Abstract

The problem of modeling and analysis of the non-stationary random vibration of a time-varying "bridge-like" laboratory structure is considered via a Functional Series Time-dependent ARMA (FS-TARMA) approach. The results of the study demonstrate high modeling accuracy, as well as superiority to adaptive Recursive Maximum Likelihood - Recursive ARMA (RML-RARMA) and non-parametric Short-Time Fourier Transform (STFT) analysis. The applicability, effectiveness, and high potential of the FS-TARMA approach, which is capable of modeling fast or slow variations in the dynamics while simultaneously achieving high accuracy and resolution. are also demonstrated.