Predicting Nonlinear Modal Properties by Measuring Free Vibration Responses

SC Huang, HW Chen, MH Tien - Journal of …, 2023 - asmedigitalcollection.asme.org
Identifying dynamical system models from measurements is a central challenge in the
structural dynamics community. Nonlinear system identification, in particular, is a big …

Data-Driven Modeling of Linear and Nonlinear Dynamic Systems for Noise and Vibration Applications

JP Gudetti, SJM Yazdi, J Baqersad, D Peters… - 2023 - sae.org
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 …

Uncertainty analysis and experimental validation of identifying the governing equation of an oscillator using sparse regression

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 …

System identification to estimate the nonlinear modes of a gong

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 …

SINDy-SA framework: enhancing nonlinear system identification with sensitivity analysis

GT Naozuka, HL Rocha, RS Silva, RC Almeida - Nonlinear Dynamics, 2022 - Springer
Abstract Machine learning methods have revolutionized studies in several areas of
knowledge, helping to understand and extract information from experimental data. Recently …

Measurement of nonlinear normal modes using multi-harmonic stepped force appropriation and free decay

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 …

An improved sparse identification of nonlinear dynamics with Akaike information criterion and group sparsity

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 …

Comparison of different methodologies for the computation of damped nonlinear normal modes and resonance prediction of systems with non-conservative …

Y Sun, J Yuan, A Vizzaccaro, L Salles - Nonlinear Dynamics, 2021 - Springer
The nonlinear modes of a non-conservative nonlinear system are sometimes referred to as
damped nonlinear normal modes (dNNMs). Because of the non-conservative …

Time–frequency characterization of nonlinear normal modes and challenges in nonlinearity identification of dynamical systems

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 …

Numerical assessment of polynomial nonlinear state-space and nonlinear-mode models for near-resonant vibrations

NN Balaji, S Lian, M Scheel, MRW Brake, P Tiso… - Vibration, 2020 - mdpi.com
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 …