Email this article 
Fastest Motion of a System of Interacting Mass Points along a Rough Horizontal Straight Line
- Authors: Ananievski I.M.1
-
Affiliations:
- Ishlinsky Institute for Problems in Mechanics RAS
- Issue: Vol 87, No 5 (2023)
- Pages: 773-783
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/232510
- DOI: https://doi.org/10.31857/S0032823523050028
- EDN: https://elibrary.ru/QHYLYP
- ID: 232510
Cite item
Open Access
Access granted
Subscription Access
Abstract
An optimal control problem for a system of material points that move along a horizontal rough line is considered. The system moves due to forces of the interaction between the points and the forces of Coulomb’s dry friction acting between points and the underlying line. Only forward movement is allowed. A control algorithm is proposed which provides the fastest transition of the system from one state of rest to another.
About the authors
I. M. Ananievski
Ishlinsky Institute for Problems in Mechanics RAS
Author for correspondence.
Email: anan@ipmnet.ru
Russia, Moscow
References
- Chernous’ko F.L. The optimum rectilinear motion of a two-mass system // JAMM, 2002, vol. 66, no. 1, pp. 1–7.
- Chernous’ko F.L. Analysis and optimization of the rectilinear motion of a two-body system // JAMM, 2011, vol. 75, no. 5, pp. 493–500.
- Bolotnik N., Pivovarov M., Zeidis I., Zimmermann K. The undulatory motion of a chain of particles in a resistive medium // ZAMM, 2011, vol. 91, no. 4, pp. 259–275.
- Bolotnik N., Pivovarov M., Zeidis I., Zimmermann K. The undulatory motion of a chain of particles in a resistive medium in the case of a smooth excitation mode // ZAMM, 2013, vol. 93, no. 12, pp. 895–913.
- Wagner G.L., Lauga E. Crawling scallop: friction-based locomotion with one degree of freedom // J. Theor. Biol., 2013, no. 324, pp. 42–51.
- Chernous’ko F.L. Translational motion of a chain of bodies in a resistive medium // JAMM, 2017, vol. 81, no. 4, pp. 256–261.
- Bolotnik N.N., Gubko P.A., Figurina T.Yu. Possibility of a non-reverse periodic rectilinear motion of a two-body system on a rough plane // Mech. Solids, 2018, vol. 53, pp. 7–15.
- Bolotnik N.N., Figurina T.Yu. Reversible motion of a chain of interacting bodies along a straight line along a rough horizontal plane // J. Comput. Syst. Sci. Int., 2023, no. 3. (in Press)
- Figurina T.Y. Optimal control of system of material points in a straight line with dry friction // J. Comput. Syst. Sci. Int., 2015, vol. 54, no. 5, pp. 671–677.
- Pontryagin L.S., Boltyanskii V.G., Gamkrelidze R.V., Mishchenko E.F. The Mathematical Theory of Optimal Processes. N.Y.: Wiley&Sons Inc., 1962. 360 p.
Supplementary files
