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The undulatory motion of a chain of particles in a resistive medium
Author(s) -
Bolotnik N.,
Pivovarov M.,
Zeidis I.,
Zimmermann K.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000112
Subject(s) - rest (music) , motion (physics) , resistive touchscreen , chain (unit) , constant (computer programming) , mechanics , physics , classical mechanics , line (geometry) , engineering , computer science , mathematics , geometry , acoustics , electrical engineering , astronomy , programming language
Abstract The motion of a finite chain of identical bodies along a straight line in a resistive medium is studied. The major aim of this study is to investigate the fundamental properties of such systems, in particular, their ability to move from a state of rest and sustain the motion at constant average velocity in media with different resistance properties and the influence of the control strategy on the motion. The motion is excited and controlled by changing the distances between the bodies of the chain. For a given friction law, the necessary and sufficient conditions for the system to be able to move from rest are established.