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MODELING SHOCK-FRICTION INTERACTION OF THE FOOT WITH THE SUPPORTING SURFACE USING THE BASIS OF GENERALIZED HERMITE FUNCTIONS

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A number of basic mechanisms of formation of the reaction of the supporting surface during human walking are studied. As a methodology, biomechanical analysis of movements is used with the account for the phases of foot movements. A fundamentally new approach to the construction of foot friction models using the Hermite functions is proposed, which enables accounting for the shock impulses of the friction forces and normal pressure for estimating the sliding and spinning friction coefficients of the “foot–support surface” system. The work practical significance is determined by the value of developing experimental and analytical approaches to the problems of modernizing lower limb orthopedic products (prostheses, orthoses, orthopedic shoes and insoles) and their functional elements.

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