Evaluating Inertial Parameter Uncertainty in High-Acceleration Movements and Improving Predictions Through Identification Using Free Vibration Measurements

<b>Background/Objectives:</b> This study aimed to examine how uncertainties in inertial properties and minimal sets of inertial parameters (MSIP) affect inverse-dynamics simulations of high-acceleration sport movements and to demonstrate that applying MSIP identified through the free vib...

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Main Authors: Takahiro Homma, Hiroshi Yamaura
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Biomechanics
Subjects:
Online Access:https://www.mdpi.com/2673-7078/5/1/18
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author Takahiro Homma
Hiroshi Yamaura
author_facet Takahiro Homma
Hiroshi Yamaura
author_sort Takahiro Homma
collection DOAJ
description <b>Background/Objectives:</b> This study aimed to examine how uncertainties in inertial properties and minimal sets of inertial parameters (MSIP) affect inverse-dynamics simulations of high-acceleration sport movements and to demonstrate that applying MSIP identified through the free vibration measurement method improves simulation accuracy. <b>Methods:</b> Monte Carlo simulations were performed for running, side-cutting, vertical jumping, arm swings, and leg swings by introducing uncertainties in inertial properties and MSIP. <b>Results:</b> These uncertainties significantly affect the joint torques and ground reaction forces and moments (GRFs&Ms), especially during large angular acceleration. The mass and longitudinal position of the center of gravity had strong effects. Subsequently, MSIP identified by our methods with free vibration measurement were applied to the same tasks, improving the accuracy of the predicted ground reaction forces compared with the standard regression-based estimates. The root mean square error decreased by up to 148 N. <b>Conclusions:</b> These results highlight that uncertainties in inertial properties and MSIP affected the calculated joint torques and GRFs&Ms, and combining experimentally identified MSIP with dynamics simulations enhances precision. These findings demonstrate that utilizing the MSIP from free vibration measurement in inverse dynamics simulations improves the accuracy of dynamic models in sports biomechanics, thereby providing a robust framework for precise biomechanical analyses.
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spelling doaj-art-b6fa2ca9083d4b48bb8d9a322e20cf422025-08-20T02:42:45ZengMDPI AGBiomechanics2673-70782025-03-01511810.3390/biomechanics5010018Evaluating Inertial Parameter Uncertainty in High-Acceleration Movements and Improving Predictions Through Identification Using Free Vibration MeasurementsTakahiro Homma0Hiroshi Yamaura1Department of Mechanical Engineering, Institute of Science Tokyo, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8852, JapanDepartment of Mechanical Engineering, Institute of Science Tokyo, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8852, Japan<b>Background/Objectives:</b> This study aimed to examine how uncertainties in inertial properties and minimal sets of inertial parameters (MSIP) affect inverse-dynamics simulations of high-acceleration sport movements and to demonstrate that applying MSIP identified through the free vibration measurement method improves simulation accuracy. <b>Methods:</b> Monte Carlo simulations were performed for running, side-cutting, vertical jumping, arm swings, and leg swings by introducing uncertainties in inertial properties and MSIP. <b>Results:</b> These uncertainties significantly affect the joint torques and ground reaction forces and moments (GRFs&Ms), especially during large angular acceleration. The mass and longitudinal position of the center of gravity had strong effects. Subsequently, MSIP identified by our methods with free vibration measurement were applied to the same tasks, improving the accuracy of the predicted ground reaction forces compared with the standard regression-based estimates. The root mean square error decreased by up to 148 N. <b>Conclusions:</b> These results highlight that uncertainties in inertial properties and MSIP affected the calculated joint torques and GRFs&Ms, and combining experimentally identified MSIP with dynamics simulations enhances precision. These findings demonstrate that utilizing the MSIP from free vibration measurement in inverse dynamics simulations improves the accuracy of dynamic models in sports biomechanics, thereby providing a robust framework for precise biomechanical analyses.https://www.mdpi.com/2673-7078/5/1/18inertial propertiesminimal set of inertial parametersdynamics simulationuncertaintyhigh accelerationidentification
spellingShingle Takahiro Homma
Hiroshi Yamaura
Evaluating Inertial Parameter Uncertainty in High-Acceleration Movements and Improving Predictions Through Identification Using Free Vibration Measurements
Biomechanics
inertial properties
minimal set of inertial parameters
dynamics simulation
uncertainty
high acceleration
identification
title Evaluating Inertial Parameter Uncertainty in High-Acceleration Movements and Improving Predictions Through Identification Using Free Vibration Measurements
title_full Evaluating Inertial Parameter Uncertainty in High-Acceleration Movements and Improving Predictions Through Identification Using Free Vibration Measurements
title_fullStr Evaluating Inertial Parameter Uncertainty in High-Acceleration Movements and Improving Predictions Through Identification Using Free Vibration Measurements
title_full_unstemmed Evaluating Inertial Parameter Uncertainty in High-Acceleration Movements and Improving Predictions Through Identification Using Free Vibration Measurements
title_short Evaluating Inertial Parameter Uncertainty in High-Acceleration Movements and Improving Predictions Through Identification Using Free Vibration Measurements
title_sort evaluating inertial parameter uncertainty in high acceleration movements and improving predictions through identification using free vibration measurements
topic inertial properties
minimal set of inertial parameters
dynamics simulation
uncertainty
high acceleration
identification
url https://www.mdpi.com/2673-7078/5/1/18
work_keys_str_mv AT takahirohomma evaluatinginertialparameteruncertaintyinhighaccelerationmovementsandimprovingpredictionsthroughidentificationusingfreevibrationmeasurements
AT hiroshiyamaura evaluatinginertialparameteruncertaintyinhighaccelerationmovementsandimprovingpredictionsthroughidentificationusingfreevibrationmeasurements