Geodesic
Propulsive motion of cylindrical vibration-driven robot in a viscous fluid
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 3, pp. 277-296

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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.
Keywords: vibration-driven robot, cruising speed, Navier–Stokes equation.
Mots-clés : propulsion 
@article{UZKU_2024_166_3_a0,
     author = {V. D. Anisimov and A. G. Egorov and A. N. Nuriev and O. N. Zaitseva},
     title = {Propulsive motion of cylindrical vibration-driven robot in a viscous fluid},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {277--296},
     publisher = {mathdoc},
     volume = {166},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2024_166_3_a0/}
}
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V. D. Anisimov; A. G. Egorov; A. N. Nuriev; O. N. Zaitseva. Propulsive motion of cylindrical vibration-driven robot in a viscous fluid. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 3, pp. 277-296. http://geodesic.mathdoc.fr/item/UZKU_2024_166_3_a0/