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SELF-SIMILAR STRUCTURES IN BIOMECHANICS. HUMAN VIBRORECEPTORS
Author(s) -
L.Ya. Banakh
Publication year - 2021
Publication title -
vestnik naučno-tehničeskogo razvitiâ
Language(s) - English
Resource type - Journals
ISSN - 2070-6847
DOI - 10.18411/vntr2021-161-2
Subject(s) - fractal , vibration , inertial frame of reference , dynamic scaling , signal (programming language) , attenuation , scaling , fictitious force , physics , acoustics , computer science , mechanics , classical mechanics , mathematical analysis , mathematics , optics , geometry , programming language
The concept of dynamic-fractal self-similar structures (dynamic fractal) is introduced. This concept consists in scaling the dynamic, i.e. elastic-inertial parameters of the forming cells. It is shown that a dynamic fractal decreasing in length amplifies the incoming signal along the structure. A dynamic fractal that increases in length, on the contrary, has the good vibroisolation properties, the attenuation intensity in which is higher than in the periodic structure. The dynamic properties of the Pacini corpuscle, which is a human vibration detector, are investigated. Its mechanical model is constructed. It is shown that the vibroreceptor is a dynamic fractal with parameters decreasing in length. Therefore the vibroreceptor amplifies the incoming signal, which makes it possible to detect even weak vibration effects on a person

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