Skip to main content
Log in

Reorientation of a rigid body by means of auxiliary masses

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

Three-dimensional motions of a rigid body controlled by several auxiliary internal masses are considered under the assumption that external forces acting upon the system are negligible. This assumption is valid for fast turns of the body about its center of mass and can also be true for reorientation of spacecraft and other vehicles. The required body reorientation is achieved by means of circular movements of auxiliary point masses within certain bounded domains inside the body. Two versions of possible motions of the point masses are presented that ensure the desired reorientation. These versions are compared and discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Chernousko FL (2006) Analysis and optimization of the motion of a body controlled by a movable internal mass. J Appl Math Mech 70(6):915–941

    MathSciNet  Google Scholar 

  2. Zimmermann K, Zeidis I, Bolotnik N, Pivovarov M (2009) Dynamics of a two-module vibration-driven system moving along a rough horizontal plane. Multibody Syst Dyn 22:199–219

    Article  MathSciNet  MATH  Google Scholar 

  3. Fang HB, Xu J (2011) Dynamic analysis and optimization of a three-phase control mode of a mobile system with an internal mass. J Vib Control 74(4):443–451

    MathSciNet  Google Scholar 

  4. Huda MN, Yu H (2015) Trajectory tracking control of an underactuated capsubot. Auton Rob 39(2):183–198

    Article  Google Scholar 

  5. Liu Y, Pavlovskaya E, Wiercigroch M (2016) Experimental verification of the vibro-impact capsule model. Nonlinear Dyn 83:1029–1041

    Article  Google Scholar 

  6. Huda MN, Yu H, Cang S (2015) Behavior-based control approach for the trajectory tracking of an underactuated planar capsule robot. IET Control Theory Appl 9:163–175

    Article  MathSciNet  Google Scholar 

  7. Chernousko FL (2016) Two-dimensional motions of a body containing internal moving masses. Meccanica 51(12):3203–3209

    Article  MathSciNet  Google Scholar 

  8. Xu J, Fang H (2019) Improving performance: recent progress on vibration-driven locomotion systems. Nonlinear Dyn 98(4):2651–2669

    Article  MathSciNet  Google Scholar 

  9. Chernousko FL (2018) Optimal control of the motion of a two-mass system. Doklady Math 97(3):295–299

    Article  MathSciNet  Google Scholar 

  10. Chernousko FL (2019) Optimal two-dimensional motions of a body controlled by a moving internal mass. Multibody Syst Dyn 46(4):381–398

    Article  MathSciNet  MATH  Google Scholar 

  11. Naumov NY, Chernousko FL (2019) Reorientation of a rigid body controlled by a movable internal mass. J Comput Syst Sci Int 58(2):252–259

    Article  MathSciNet  MATH  Google Scholar 

  12. Shmatkov AM (2019) The implementation of a given motion of a rigid body relative to its center of mass by moving the material point. Doklady Phys 64(11):434–437

    Article  Google Scholar 

  13. Chernousko FL (2020) Change of orientation of a rigid body by means of an auxiliary mass. Doklady Phys 65(2):72–74

    Article  Google Scholar 

  14. Chernousko FL (2020) Two- and three-dimensional motions of a body controlled by an internal movable mass. Nonlinear Dyn 99(1):793–802

    Article  MATH  Google Scholar 

  15. Chernousko FL (2020) Reorientation of a rigid body by means of internal masses. Nonlinear Dyn 102:1209–1214

    Article  Google Scholar 

Download references

Acknowledgements

The work was supported by the Russian Science Foundation (Project 18-11-00307, https://rscf.ru/en/project/18-11-00307/).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Felix Chernousko.

Ethics declarations

Conflict of interest

The author declares that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chernousko, F. Reorientation of a rigid body by means of auxiliary masses. Meccanica 58, 387–395 (2023). https://doi.org/10.1007/s11012-022-01501-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-022-01501-z

Keywords

Navigation