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Autori principali: Kober, Jan, Zeman, Radovan, Scalerandi, Marco
Natura: Preprint
Pubblicazione: 2026
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Accesso online:https://arxiv.org/abs/2604.22889
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author Kober, Jan
Zeman, Radovan
Scalerandi, Marco
author_facet Kober, Jan
Zeman, Radovan
Scalerandi, Marco
contents Nonlinear Resonant Ultrasound Spectroscopy (NRUS) experiments that rely on repeated sampling of resonance curves are inherently sensitive to measurement protocol due to evolution of material parameters caused by fast and slow dynamic effects. We introduce a model-assisted discrete-time resonance tracking method that maintains a system at its instantaneous resonance condition without the need to acquire full frequency sweeps. Resonance is defined through a prescribed phase relation between excitation and response, and the excitation frequency is iteratively updated using a linearized frequency--phase model. The procedure allows controlled suppression of transient wave buildup using optional feedforward correction with respect to an external control parameter. The method is demonstrated on NRUS and on conditioning--relaxation protocol conducted on a sandstone bar, providing estimates of resonance frequency and damping. Comparison with conventional approaches shows that measurement speed and mode stability significantly influence the inferred nonlinear indicators. The proposed framework is not limited to nonlinear acoustics and can be applied to arbitrary resonant systems with slowly evolving parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2604_22889
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fixed-phase Resonance Tracking for Fast Nonlinear Resonant Ultrasound Spectroscopy
Kober, Jan
Zeman, Radovan
Scalerandi, Marco
Image and Video Processing
Materials Science
Nonlinear Resonant Ultrasound Spectroscopy (NRUS) experiments that rely on repeated sampling of resonance curves are inherently sensitive to measurement protocol due to evolution of material parameters caused by fast and slow dynamic effects. We introduce a model-assisted discrete-time resonance tracking method that maintains a system at its instantaneous resonance condition without the need to acquire full frequency sweeps. Resonance is defined through a prescribed phase relation between excitation and response, and the excitation frequency is iteratively updated using a linearized frequency--phase model. The procedure allows controlled suppression of transient wave buildup using optional feedforward correction with respect to an external control parameter. The method is demonstrated on NRUS and on conditioning--relaxation protocol conducted on a sandstone bar, providing estimates of resonance frequency and damping. Comparison with conventional approaches shows that measurement speed and mode stability significantly influence the inferred nonlinear indicators. The proposed framework is not limited to nonlinear acoustics and can be applied to arbitrary resonant systems with slowly evolving parameters.
title Fixed-phase Resonance Tracking for Fast Nonlinear Resonant Ultrasound Spectroscopy
topic Image and Video Processing
Materials Science
url https://arxiv.org/abs/2604.22889