Email this article Optimal motion of a body controlled by an internal mass in the resistive environment
- Authors: Glazkov T.V.1, Chernousko F.L.1
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics RAS
- Issue: Vol 88, No 1 (2024)
- Pages: 53-66
- Section: Articles
- URL: https://cardiosomatics.ru/0032-8235/article/view/675074
- DOI: https://doi.org/10.31857/S0032823524010046
- EDN: https://elibrary.ru/YUQAMC
- ID: 675074
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Abstract
Translational movement of a body controlled by means of periodical motions of an internal mass within the environment with the quadratic resistance is considered. The average speed of motion depending on the constraints imposed is evaluated, and the conditions are found that correspond to the maximum average speed.
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About the authors
T. V. Glazkov
Ishlinsky Institute for Problems in Mechanics RAS
Author for correspondence.
Email: t.glazkov@bk.ru
Russian Federation, Moscow
F. L. Chernousko
Ishlinsky Institute for Problems in Mechanics RAS
Email: chern@ipmnet.ru
Russian Federation, Moscow
References
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- Chernousko F.L., Bolotnik N.N. Dynamics of Mobile Systems with Controlled Configuration. Moscow: Fizmatlit, 2022. 464 p. (in Russian)
- Chernousko F.L. Optimization of motion of a body with an internal mass under quadratic resistance // Dokl. Phys., 2023, vol. 513, pp. 80–86. (in Russian)
Supplementary files
Supplementary Files
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Fig. 1. Mechanical system.
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Fig. 2. Movement of the internal mass.
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Fig. 3. Hull speed.
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Fig. 4. Dependence of Φ on the parameter σ for k=3.5.
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Fig. 5. Dependence of Φ on the parameter σ for k=10.
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Fig. 6. Dependence of Φ on the parameter σ at μ1=0.4.
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Fig. 7. Dependence of the normalized maximum speed v on the parameter σ for μ ≪1.
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Fig. 8. Dependence of the value of Q on the parameter σ.
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