Nonlinear damping quantification from phase-resonant tests under base excitation
arXiv:2205.04735 · doi:10.1016/j.ymssp.2022.109170
Abstract
The present work addresses the experimental identification of amplitude-dependent modal parameters (modal frequency, damping ratio, Fourier coefficients of periodic modal oscillation). Phase-resonant testing has emerged as an important method for this task, as it substantially reduces the amount of data required for the identification compared to conventional frequency-response testing at different excitation/response levels. In the case of shaker-stinger excitation, the applied excitation force is commonly measured in order to quantify the amplitude-dependent modal damping ratio from the phase-resonant test data. In the case of base excitation, however, the applied excitation force is challenging or impossible to measure. In this work we develop an original method for damping quantification from phase-resonant tests. It relies solely on response measurement; it avoids the need to resort to force measurement. The key idea is to estimate the power provided by the distributed inertia force imposed by the base motion. We develop both a model-free and a model-based variant of the method. We validate the developed method first in virtual experiments of a friction-damped and a geometrically nonlinear system, and then in a physical experiment involving a thin beam clamped at both ends via bolted joints. We conclude that the method is highly robust and provides high accuracy already for a reasonable number of sensors.
References in corpus (6)
- Nonlinear modal analysis of nonconservative systems: Extension of the periodic motion concept
- A method for nonlinear modal analysis and synthesis: Application to harmonically forced and self-excited mechanical systems
- A Phase Resonance Approach for Modal Testing of Structures with Nonlinear Dissipation
- On the computation of the slow dynamics of nonlinear modes of mechanical systems
- Experimental assessment of polynomial nonlinear state-space and nonlinear-mode models for near-resonant vibrations
- Challenging an experimental nonlinear modal analysis method with a new strongly friction-damped structure