Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Evgeny V. Vetchanin"'
Autor:
Evgeny V. Vetchanin, Ivan S. Mamaev
Publikováno v:
Mathematics, Vol 12, Iss 2, p 312 (2024)
Finite-dimensional equations constructed earlier to describe the motion of an aquatic drop-shaped robot due to given rotor oscillations are studied. To study the equations of motion, we use the Poincaré map method, estimates of the Lyapunov exponent
Externí odkaz:
https://doaj.org/article/0adb2fdc19194f25bf93ff2bfcb83e98
Publikováno v:
Regular and Chaotic Dynamics. 25:689-706
The motion of a spherical robot with periodically changing moments of inertia, internal rotors and a displaced center of mass is considered. It is shown that, under some restrictions on the displacement of the center of mass, the system of interest f
Autor:
Ivan S. Mamaev, Evgeny V. Vetchanin
Publikováno v:
Acta Mechanica. 231:4529-4535
This paper addresses a conservative system describing the motion of a smooth body in an ideal fluid under the action of an external periodic torque with nonzero mean and of an external periodic force. It is shown that, in the case where the body is c
Autor:
Ivan S. Mamaev, Evgeny V. Vetchanin
Publikováno v:
Regular and Chaotic Dynamics. 25:215-236
This paper examines the motion of a balanced spherical robot under the action of periodically changing moments of inertia and gyrostatic momentum. The system of equations of motion is constructed using the model of the rolling of a rubber body (witho
Autor:
Evgeny V. Vetchanin
Publikováno v:
2021 International Conference "Nonlinearity, Information and Robotics" (NIR).
Publikováno v:
Russian Journal of Mathematical Physics. 26:412-427
A plane-parallel motion of a circular foil is considered in a fluid with a nonzero constant circulation under the action of external periodic force and torque. Various integrable cases are treated. Conditions for the existence of resonances of two ty
Autor:
Valentin A. Tenenev, Ivan S. Mamaev, Anton V. Klekovkin, Evgeny V. Vetchanin, Yury L. Karavaev
Publikováno v:
Journal of Mechanisms and Robotics. 14
This paper is concerned with the motion of an aquatic robot whose body has the form of a sharp-edged foil. The robot is propelled by rotating the internal rotor without shell deformation. The motion of the robot is described by a finite-dimensional m
Autor:
Evgeny V. Vetchanin, Anton V. Klekovkin, Valentin A. Tenenev, Yury L. Karavaev, Ivan S. Mamaev
Publikováno v:
2020 International Conference Nonlinearity, Information and Robotics (NIR).
This paper is devoted to investigations of the motion of an aquatic propeller-less robot. The robot motion implemented by rotation of internal rotor. A simple finite-dimensional mathematical model to describe the motion of the robot is proposed. Expe
Autor:
Evgeny V. Vetchanin
Publikováno v:
2020 International Conference Nonlinearity, Information and Robotics (NIR).
The dynamics of a body with a fixed point is considered in the case where the moments of inertia of the system depend periodically on time. A stability of permanent rotations is estimated by a numerical approach. In a neighborhood of permanent rotati
Publikováno v:
Regular and Chaotic Dynamics. 23:850-874
This paper addresses the problem of the self-propulsion of a smooth body in a fluid by periodic oscillations of the internal rotor and circulation. In the case of zero dissipation and constant circulation, it is shown using methods of KAM theory that