Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid

The propulsive motion of a multimass system, vibration-driven robot (VR), in a viscous incompressible fluid was studied. The VR consisted of a round cylindrical body submerged in the fluid and an internal mass (IM) performing small-amplitude pendulum-like oscillations inside the body. Using the method...

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Main Authors: V. D. Anisimov, A. G. Egorov, A. N. Nuriev, O. N. Zaitseva
Format: Article
Language:English
Published: Kazan Federal University 2024-10-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
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Online Access:https://uzakufismat.elpub.ru/jour/article/view/91
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author V. D. Anisimov
A. G. Egorov
A. N. Nuriev
O. N. Zaitseva
author_facet V. D. Anisimov
A. G. Egorov
A. N. Nuriev
O. N. Zaitseva
author_sort V. D. Anisimov
collection DOAJ
description The propulsive motion of a multimass system, vibration-driven robot (VR), in a viscous incompressible fluid was studied. The VR consisted of a round cylindrical body submerged in the fluid and an internal mass (IM) performing small-amplitude pendulum-like oscillations inside the body. Using the method of asymptotic expansions, the combined mechanical and hydrodynamic problems that describe the self-propulsion of the system in the fluid were solved. The hydrodynamic problem was formulated on the basis of the complete non-stationary Navier– Stokes equation. An analytical solution was derived to describe the cruising regime of the VR motion in the fluid. The non-stationary hydrodynamic influence on the VR was determined. The efficiency of the propulsive system’s motion was assessed.
format Article
id doaj-art-651d5549a22e4dcc9db25ab86fa9e788
institution Kabale University
issn 2541-7746
2500-2198
language English
publishDate 2024-10-01
publisher Kazan Federal University
record_format Article
series Учёные записки Казанского университета: Серия Физико-математические науки
spelling doaj-art-651d5549a22e4dcc9db25ab86fa9e7882025-02-03T12:00:35ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982024-10-01166327729610.26907/2541-7746.2024.3.277-29649Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous FluidV. D. Anisimov0A. G. Egorov1A. N. Nuriev2O. N. Zaitseva3Kazan Federal UniversityKazan Federal UniversityKazan Federal UniversityKazan Federal UniversityThe propulsive motion of a multimass system, vibration-driven robot (VR), in a viscous incompressible fluid was studied. The VR consisted of a round cylindrical body submerged in the fluid and an internal mass (IM) performing small-amplitude pendulum-like oscillations inside the body. Using the method of asymptotic expansions, the combined mechanical and hydrodynamic problems that describe the self-propulsion of the system in the fluid were solved. The hydrodynamic problem was formulated on the basis of the complete non-stationary Navier– Stokes equation. An analytical solution was derived to describe the cruising regime of the VR motion in the fluid. The non-stationary hydrodynamic influence on the VR was determined. The efficiency of the propulsive system’s motion was assessed.https://uzakufismat.elpub.ru/jour/article/view/91vibration-driven robotpropulsioncruising speednavier–stokes equation
spellingShingle V. D. Anisimov
A. G. Egorov
A. N. Nuriev
O. N. Zaitseva
Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid
Учёные записки Казанского университета: Серия Физико-математические науки
vibration-driven robot
propulsion
cruising speed
navier–stokes equation
title Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid
title_full Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid
title_fullStr Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid
title_full_unstemmed Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid
title_short Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid
title_sort propulsive motion of cylindrical vibration driven robot in a viscous fluid
topic vibration-driven robot
propulsion
cruising speed
navier–stokes equation
url https://uzakufismat.elpub.ru/jour/article/view/91
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AT agegorov propulsivemotionofcylindricalvibrationdrivenrobotinaviscousfluid
AT annuriev propulsivemotionofcylindricalvibrationdrivenrobotinaviscousfluid
AT onzaitseva propulsivemotionofcylindricalvibrationdrivenrobotinaviscousfluid