Inertial Forces and Friction in Propulsion of a Rigid Body

Inertially driven or vibration-driven capsule robots have recently attracted attention from various areas of science and engineering. The main advantage of such a mobile system is the lack of any external driving mechanism, which allows for an encapsulated construction and efficient operation in dem...

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Main Authors: Roman Starosta, Paweł Fritzkowski
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/2/517
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author Roman Starosta
Paweł Fritzkowski
author_facet Roman Starosta
Paweł Fritzkowski
author_sort Roman Starosta
collection DOAJ
description Inertially driven or vibration-driven capsule robots have recently attracted attention from various areas of science and engineering. The main advantage of such a mobile system is the lack of any external driving mechanism, which allows for an encapsulated construction and efficient operation in demanding environments. This study focuses on the conception of a mechanical system whose motion on a rough horizontal plane is caused only by the rotation of two internal masses. The mathematical model of the robot is presented in the non-dimensional form. The conditions for motion are formulated, and the working region of the system is specified. The active phase of the robot dynamics may include both forward motion and minor backward motion, or forward motion exclusively. Extensive numerical studies are conducted using two friction models. The numerical solutions to the dynamic problem are analyzed with regard to the total displacement and the average velocity per period of excitation. The interplay between model parameters is studied. The resulting maps on the parameter planes allow for substantial improvement in the robot performance. Moreover, it is demonstrated that the Stribeck effect occurring in the friction characteristics plays a positive role in the efficient motion of the system.
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spelling doaj-art-cdeb494e963940878339571a87eebb022025-01-24T13:19:39ZengMDPI AGApplied Sciences2076-34172025-01-0115251710.3390/app15020517Inertial Forces and Friction in Propulsion of a Rigid BodyRoman Starosta0Paweł Fritzkowski1Institute of Applied Mechanics, Faculty of Mechanical Engineering, Poznan University of Technology, 60-965 Poznań, PolandInstitute of Applied Mechanics, Faculty of Mechanical Engineering, Poznan University of Technology, 60-965 Poznań, PolandInertially driven or vibration-driven capsule robots have recently attracted attention from various areas of science and engineering. The main advantage of such a mobile system is the lack of any external driving mechanism, which allows for an encapsulated construction and efficient operation in demanding environments. This study focuses on the conception of a mechanical system whose motion on a rough horizontal plane is caused only by the rotation of two internal masses. The mathematical model of the robot is presented in the non-dimensional form. The conditions for motion are formulated, and the working region of the system is specified. The active phase of the robot dynamics may include both forward motion and minor backward motion, or forward motion exclusively. Extensive numerical studies are conducted using two friction models. The numerical solutions to the dynamic problem are analyzed with regard to the total displacement and the average velocity per period of excitation. The interplay between model parameters is studied. The resulting maps on the parameter planes allow for substantial improvement in the robot performance. Moreover, it is demonstrated that the Stribeck effect occurring in the friction characteristics plays a positive role in the efficient motion of the system.https://www.mdpi.com/2076-3417/15/2/517inertial drivemobile robotscapsule robotsinertially driven robotvibration-driven robotfriction
spellingShingle Roman Starosta
Paweł Fritzkowski
Inertial Forces and Friction in Propulsion of a Rigid Body
Applied Sciences
inertial drive
mobile robots
capsule robots
inertially driven robot
vibration-driven robot
friction
title Inertial Forces and Friction in Propulsion of a Rigid Body
title_full Inertial Forces and Friction in Propulsion of a Rigid Body
title_fullStr Inertial Forces and Friction in Propulsion of a Rigid Body
title_full_unstemmed Inertial Forces and Friction in Propulsion of a Rigid Body
title_short Inertial Forces and Friction in Propulsion of a Rigid Body
title_sort inertial forces and friction in propulsion of a rigid body
topic inertial drive
mobile robots
capsule robots
inertially driven robot
vibration-driven robot
friction
url https://www.mdpi.com/2076-3417/15/2/517
work_keys_str_mv AT romanstarosta inertialforcesandfrictioninpropulsionofarigidbody
AT pawełfritzkowski inertialforcesandfrictioninpropulsionofarigidbody