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Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry

Peter Angerman Orcid Logo, Leonhard Faulhammer, Lars Bauer, Jan Haeberle, Daniel Curtis Orcid Logo

Rheologica Acta

Swansea University Authors: Peter Angerman Orcid Logo, Daniel Curtis Orcid Logo

Abstract

Optimally windowed chirp-based rheometry (OWCh) enables rapid acquisition of linear viscoelastic spectra and has become an increasingly popular alternative to conventional discrete frequency sweep measurements, particularly for time-evolving materials. However, the accuracy of chirp-based protocols...

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Published in: Rheologica Acta
Published: 2026
Online Access: https://rdcu.be/fpgVG
URI: https://cronfa.swan.ac.uk/Record/cronfa72027
first_indexed 2026-06-09T16:01:51Z
last_indexed 2026-06-20T05:02:52Z
id cronfa72027
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spelling 2026-06-19T09:45:54.1730385 v2 72027 2026-06-09 Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry 21c63965776b156af8d6c2643b645e08 0009-0003-2227-7553 Peter Angerman Peter Angerman true false e76ff28a23af2fe37099c4e9a24c1e58 0000-0002-6955-0524 Daniel Curtis Daniel Curtis true false 2026-06-09 EAAS Optimally windowed chirp-based rheometry (OWCh) enables rapid acquisition of linear viscoelastic spectra and has become an increasingly popular alternative to conventional discrete frequency sweep measurements, particularly for time-evolving materials. However, the accuracy of chirp-based protocols is sensitive to instrumental and signal-processing artefacts that can distort the recovered complex modulus. In this work, we demonstrate that timestamp-induced phase offsets produce a frequency-dependent rotation of the complex modulus, causing crosstalk between the storage and loss moduli. Further, when OWCh measurements are undertaken using a combined motor transducer rheometer the phase offset and instrument inertia are intrinsically coupled such that the inertial effect, which is typically assumed to affect only the storage modulus, leaks into the loss modulus. Analytical modelling reveals a cubic frequency scaling of the resulting loss modulus error. Using numerical examples and experimental measurements obtained on multiple rheometers and materials, we show that conventional inertia correction is insufficient to recover the true material response when phase offsets are present. We further introduce a practical calibration procedure that enables phase correction to be performed prior to inertia correction, restoring quantitative agreement between chirp-based and frequency sweep measurements. These results establish a physically consistent correction sequence for chirp-based rheometry and provide a robust framework for chirp-only rheometry. Journal Article Rheologica Acta 19 6 2026 2026-06-19 https://rdcu.be/fpgVG COLLEGE NANME Engineering and Applied Sciences School COLLEGE CODE EAAS Swansea University EPSRC EP/T026154/1, EP/X525637/1 2026-06-19T09:45:54.1730385 2026-06-09T09:44:22.5751441 Faculty of Science and Engineering School of Engineering and Applied Sciences - Chemical Engineering Peter Angerman 0009-0003-2227-7553 1 Leonhard Faulhammer 2 Lars Bauer 3 Jan Haeberle 4 Daniel Curtis 0000-0002-6955-0524 5
title Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry
spellingShingle Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry
Peter Angerman
Daniel Curtis
title_short Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry
title_full Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry
title_fullStr Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry
title_full_unstemmed Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry
title_sort Instrument phase errors and inertial leakage in Optimally Windowed Chirp (OWCh) rheometry
author_id_str_mv 21c63965776b156af8d6c2643b645e08
e76ff28a23af2fe37099c4e9a24c1e58
author_id_fullname_str_mv 21c63965776b156af8d6c2643b645e08_***_Peter Angerman
e76ff28a23af2fe37099c4e9a24c1e58_***_Daniel Curtis
author Peter Angerman
Daniel Curtis
author2 Peter Angerman
Leonhard Faulhammer
Lars Bauer
Jan Haeberle
Daniel Curtis
format Journal article
container_title Rheologica Acta
publishDate 2026
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Chemical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Chemical Engineering
url https://rdcu.be/fpgVG
document_store_str 0
active_str 0
description Optimally windowed chirp-based rheometry (OWCh) enables rapid acquisition of linear viscoelastic spectra and has become an increasingly popular alternative to conventional discrete frequency sweep measurements, particularly for time-evolving materials. However, the accuracy of chirp-based protocols is sensitive to instrumental and signal-processing artefacts that can distort the recovered complex modulus. In this work, we demonstrate that timestamp-induced phase offsets produce a frequency-dependent rotation of the complex modulus, causing crosstalk between the storage and loss moduli. Further, when OWCh measurements are undertaken using a combined motor transducer rheometer the phase offset and instrument inertia are intrinsically coupled such that the inertial effect, which is typically assumed to affect only the storage modulus, leaks into the loss modulus. Analytical modelling reveals a cubic frequency scaling of the resulting loss modulus error. Using numerical examples and experimental measurements obtained on multiple rheometers and materials, we show that conventional inertia correction is insufficient to recover the true material response when phase offsets are present. We further introduce a practical calibration procedure that enables phase correction to be performed prior to inertia correction, restoring quantitative agreement between chirp-based and frequency sweep measurements. These results establish a physically consistent correction sequence for chirp-based rheometry and provide a robust framework for chirp-only rheometry.
published_date 2026-06-19T06:02:52Z
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score 11.109323

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