Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems

Lubricants

Merten Stender¹  Norbert Hoffmann¹  Filipe Fontanela²  Antonio Papangelo³  Marco Didonna³  Michele Ciavarella³ 

[1] Department of Mechanical Engineering, Am Schwarzenberg-Campus 1, Hamburg University of Technology, 21073 Hamburg, Germany;Department of Mechanical Engineering, Imperial College London, Exhibition Road, London SW7 2AZ, UK;Politecnico di Bari, Department of Mechanics Mathematics and Management, Via Orabona 4, 70125 Bari, Italy;

关键词: nonlinear dynamics;    system identification;    sparse regression;    time series;    geometric nonlinearity;    contact;   

DOI  :  10.3390/lubricants7080064

来源: DOAJ

【 摘 要 】

Data-driven system identification procedures have recently enabled the reconstruction of governing differential equations from vibration signal recordings. In this contribution, the sparse identification of nonlinear dynamics is applied to structural dynamics of a geometrically nonlinear system. First, the methodology is validated against the forced Duffing oscillator to evaluate its robustness against noise and limited data. Then, differential equations governing the dynamics of two weakly coupled cantilever beams with base excitation are reconstructed from experimental data. Results indicate the appealing abilities of data-driven system identification: underlying equations are successfully reconstructed and (non-)linear dynamic terms are identified for two experimental setups which are comprised of a quasi-linear system and a system with impacts to replicate a piecewise hardening behavior, as commonly observed in contacts.

【 授权许可】

Unknown