The motion of a two‐body limbless locomotor along a straight line in a resistive medium. Issue 4 (14th April 2015)

• Record Type: Journal Article
• Authors: Bolotnik, N.; Pivovarov, M.; Zeidis, I.; Zimmermann, K.
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 96:Issue 4(2016)
• Page Start: 429
• Page End: 452
• Publication Date: 2015-04-14
• Subjects: Locomotion systems -- periodic excitation -- dry friction -- method of averaging; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201400302
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract : The behavior of a two‐body self‐propelling locomotion system in a resistive environment is studied. The motion of the system is excited and sustained by means of a periodic change in the distance between the bodies. A complete analysis of the motion of the system is performed for the case where the resistance forces applied by the environment to the bodies of the system are represented by linear functions of the velocities of these bodies relative to the environment. For the case where the resistance forces are nonlinear functions of the velocities of the bodies, a model based on the averaged equation of motion is used. Abstract : The behavior of a two‐body self‐propelling locomotion system in a resistive environment is studied. The motion of the system is excited and sustained by means of a periodic change in the distance between the bodies. A complete analysis of the motion of the system is performed for the case where the resistance forces applied by the environment to the bodies of the system are represented by linear functions of the velocities of these bodies relative to the environment. For the case where the resistance forces are nonlinear functions of the velocities of the bodies, a model based on the averaged equation of motion is used. This model assumes the forces of friction acting in the system to be small in comparison with the excitation force. The motion of the system along a horizontal straight line in an isotropic dry friction environment is investigated in detail for two particular types of excitation modes. The calculated results are compared with the experimental data.