Localization of the Phases of Impact-Friction Interaction of the Foot with the Supporting Surface
https://doi.org/10.17586/0021-3454-2025-68-8-689-695
Abstract
The impact-friction interaction of the left and right feet with the supporting surface is investigated. For a visual representation, the step cycle phases in bipedal walking are correlated with quad sectors, in which this interaction is presented. The work is based on experimental data on flexion-extension-rotation of the ankle joint and foot reactions when walking on a dynamometric platform. A technique for analyzing paired interaction of both feet is developed, using Hermite functions to model impact impulses of tangential reaction forces of the heel and toe of the foot. At the kinematic analysis stage, angular velocities of rotation of the ankle joint of one leg with full support and of the other in free transfer are calculated. Transmission coefficients are estimated. It is shown that at the stage of dynamic analysis in the phases of impact impulses of the foot on the supporting plane their pair is formed. The results of the study can be used both in developing protocols for ankle rehabilitation and in training athletes when assessing the quality of the foot action during a push.
Keywords
About the Authors
V. M. MusalimovRussian Federation
Victor M. Musalimov — Dr. Sci, Professor; Laboratory of Friction and Wear; Chief Researcher
St. Petersburg
M. A. Erofeev
Russian Federation
Mikhail A. Erofeev — Post-Graduate Student; Laboratory of Friction and Wear
St. Petersburg
References
1. Musalimov V.M., Perepelkina S.Yu., Erofeev M.A. Journal of Instrument Engineering, 2024, no. 10(67), pp. 831–836, DOI: 10.17586/0021-3454-2024-67-10-831-836. (in Russ.)
2. Donatelli R.A. J. Orthop. Sports Phys. Ther., 1985, no. 3(7), pp. 91–95, DOI: 10.2519/jospt.1985.7.3.91
3. Musalimov V.M., Paasuke M., Gapeeva E., Ereline Ya., Erofeev M.A. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2017, no. 6(17), pp. 1159–1166. (in Russ.)
4. Beletsky V.V. Dvunogaya khod’ba: model’nyye zadachi dinamiki i upravleniya (Bipedal Walking: Model Problems of Dynamics and Control), Moscow, 1984, 288 р. (in Russ.)
5. Vukobratovich M., Frank A., Djurich D. Mechanics, 1972, no. 1(131). (in Russ.)
6. Musalimov V.M., Erofeev M.A., Monakhov Yu.S., Malov M.S. Journal of Instrument Engineering, 2023, no. 8(66), pp. 652–659, DOI: 10.17586/0021-3454-2023-66-8-652-659. (in Russ.)
7. Skvortsov D.V. Klinicheskiy analiz dvizheniy. Analiz pokhodki (Clinical Analysis of Movements. Gait Analysis), Ivanovo, 1996, 344 р. (in Russ.)
8. Feller W. An Introduction to Probability Theory and its Applications, 1970.
9. Lurye A.I. Analiticheskaya mekhanika (Analytical mechanics), Moscow, 1961. (in Russ.)
10. Pismennaya E.V., Petrushanskaya K.A., Shapkova E.Yu. Russian Journal of Biomechanics, 2018, no. 1(22), pp. 85–100.
11. Daminov V.D., Zimina E.Yu., Rybalko N.V., Kuznetsov A.N. Robotizirovannyye tekhnologii vosstanovleniya funktsii khod’by v neyroreabilitatsii (Robotic Technologies for Restoring Walking Function in Neurorehabilitation), Moscow, 2010, 128 р. (in Russ.)
Review
For citations:
Musalimov V.M., Erofeev M.A. Localization of the Phases of Impact-Friction Interaction of the Foot with the Supporting Surface. Journal of Instrument Engineering. 2025;68(8):689-695. (In Russ.) https://doi.org/10.17586/0021-3454-2025-68-8-689-695






















