Data-driven modeling can help improve understanding of the governing equations for systems that are challenging to model. In the current work, the Sparse Identification of …
Y Ren, C Adams, T Melz - Applied Sciences, 2022 - mdpi.com
In recent years, the rapid growth of computing technology has enabled identifying mathematical models for vibration systems using measurement data instead of domain …
D Piombino, MS Allen, D Ehrhardt, T Beberniss… - … Dynamics, Volume 1 …, 2019 - Springer
Abstract Nonlinear Normal Modes (NNMs) have proven useful in a few recent works as a basis for comparing nonlinear models during model updating. In prior works the authors …
Abstract Machine learning methods have revolutionized studies in several areas of knowledge, helping to understand and extract information from experimental data. Recently …
DA Ehrhardt, MS Allen - Mechanical Systems and Signal Processing, 2016 - Elsevier
Abstract Nonlinear Normal Modes (NNMs) offer tremendous insight into the dynamic behavior of a nonlinear system, extending many concepts that are familiar in linear modal …
X Dong, YL Bai, Y Lu, M Fan - Nonlinear Dynamics, 2023 - Springer
A crucial challenge encountered in diverse areas of engineering applications involves speculating the governing equations based upon partial observations. On this basis, a …
The nonlinear modes of a non-conservative nonlinear system are sometimes referred to as damped nonlinear normal modes (dNNMs). Because of the non-conservative …
PF Pai - Mechanical Systems and Signal Processing, 2011 - Elsevier
Presented here is a new time–frequency signal processing methodology based on Hilbert– Huang transform (HHT) and a new conjugate-pair decomposition (CPD) method for …
In the present article, we follow up our recent work on the experimental assessment of two data-driven nonlinear system identification methodologies. The first methodology constructs …