Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration

To address the issue of accuracy degradation caused by aerodynamic damping when measuring the moment of inertia of irregular specimens with large airfoil surfaces using the torsional pendulum method, a compensation approach based on drag simulation results was proposed. Initially, the mechanism of a...

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Main Authors: MA Weiping, ZHAO He, SONG Yuzhou, LI Tenglong
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2025-08-01
Series:Jixie qiangdu
Subjects:
Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2025.08.015
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author MA Weiping
ZHAO He
SONG Yuzhou
LI Tenglong
author_facet MA Weiping
ZHAO He
SONG Yuzhou
LI Tenglong
author_sort MA Weiping
collection DOAJ
description To address the issue of accuracy degradation caused by aerodynamic damping when measuring the moment of inertia of irregular specimens with large airfoil surfaces using the torsional pendulum method, a compensation approach based on drag simulation results was proposed. Initially, the mechanism of aerodynamic damping in torsional oscillations was analyzed, and a measurement model incorporating compensation through calculation of aerodynamic damping torque was established. Subsequently, the reduced frequency parameter was introduced to characterize the unsteady aerodynamic nature of the aerodynamic damping torque. By employing a quasi-steady assumption combined with equivalent linearization techniques, the unsteady time-varying aerodynamic damping torque was equivalently represented as viscous damping. Furthermore, computational fluid dynamics (CFD) simulations were conducted to obtain drag coefficients during specimen motion, from which a compensation formula based on drag coefficients was derived. Finally, validation test were designed and performed to verify the proposed method. The findings indicate that under low reduced frequency conditions (reduced frequency less than 0.01), the relative error between the equivalent aerodynamic damping ratio calculated via quasi-steady assumption and test separation values is approximately 7%. After compensating using the proposed equivalent aerodynamic damping ratio, the error between measured and theoretical moments of inertia is approximately 0.2%, demonstrating that the proposed method effectively enhances measurement accuracy for moments of inertia of irregular specimens with large airfoil surfaces.
format Article
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institution Kabale University
issn 1001-9669
language zho
publishDate 2025-08-01
publisher Editorial Office of Journal of Mechanical Strength
record_format Article
series Jixie qiangdu
spelling doaj-art-4d7d018fa8df44c3909b0922f8b3d3db2025-08-23T19:00:13ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692025-08-0147123130112002079Measurement and analysis of moment of inertia using torsional pendulum method with air damping considerationMA WeipingZHAO HeSONG YuzhouLI TenglongTo address the issue of accuracy degradation caused by aerodynamic damping when measuring the moment of inertia of irregular specimens with large airfoil surfaces using the torsional pendulum method, a compensation approach based on drag simulation results was proposed. Initially, the mechanism of aerodynamic damping in torsional oscillations was analyzed, and a measurement model incorporating compensation through calculation of aerodynamic damping torque was established. Subsequently, the reduced frequency parameter was introduced to characterize the unsteady aerodynamic nature of the aerodynamic damping torque. By employing a quasi-steady assumption combined with equivalent linearization techniques, the unsteady time-varying aerodynamic damping torque was equivalently represented as viscous damping. Furthermore, computational fluid dynamics (CFD) simulations were conducted to obtain drag coefficients during specimen motion, from which a compensation formula based on drag coefficients was derived. Finally, validation test were designed and performed to verify the proposed method. The findings indicate that under low reduced frequency conditions (reduced frequency less than 0.01), the relative error between the equivalent aerodynamic damping ratio calculated via quasi-steady assumption and test separation values is approximately 7%. After compensating using the proposed equivalent aerodynamic damping ratio, the error between measured and theoretical moments of inertia is approximately 0.2%, demonstrating that the proposed method effectively enhances measurement accuracy for moments of inertia of irregular specimens with large airfoil surfaces.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2025.08.015Moment of inertia measruementAerodynamic dampingIrregular specimenUnsteady aerodynamic forceDrag coefficient
spellingShingle MA Weiping
ZHAO He
SONG Yuzhou
LI Tenglong
Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
Jixie qiangdu
Moment of inertia measruement
Aerodynamic damping
Irregular specimen
Unsteady aerodynamic force
Drag coefficient
title Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
title_full Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
title_fullStr Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
title_full_unstemmed Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
title_short Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
title_sort measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
topic Moment of inertia measruement
Aerodynamic damping
Irregular specimen
Unsteady aerodynamic force
Drag coefficient
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2025.08.015
work_keys_str_mv AT maweiping measurementandanalysisofmomentofinertiausingtorsionalpendulummethodwithairdampingconsideration
AT zhaohe measurementandanalysisofmomentofinertiausingtorsionalpendulummethodwithairdampingconsideration
AT songyuzhou measurementandanalysisofmomentofinertiausingtorsionalpendulummethodwithairdampingconsideration
AT litenglong measurementandanalysisofmomentofinertiausingtorsionalpendulummethodwithairdampingconsideration