Stability of floating barges with trapezoidal and pentagonal sections

Authors

  • Aleksey S. Smirnov Peter the Great St Petersburg Polytechnic University, 29, ul. Polytechnicheskaya, St Petersburg, 195251, Russian Federation, Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, 61, Bolshoy pr. V. O., St Petersburg, 199178, Russian Federation
  • Timur N. Khashba Peter the Great St Petersburg Polytechnic University, 29, ul. Polytechnicheskaya, St Petersburg, 195251, Russian Federation

DOI:

https://doi.org/10.21638/spbu01.2022.415

Abstract

The issues of stability of the symmetrical equilibrium position of floating barges in liquid, which have trapezoidal and pentagonal sections, are discussed in the paper. The basic principles of static analysis necessary for studying the stability of floating bodies are given. The exact expression for the potential energy of a floating body is constructed and its quadratic approximation is calculated near the investigated equilibrium state for both problems under consideration. Stability conditions are obtained in terms of dimensionless parameters on the basis of these expressions, and each of the problems under discussion has three such parameters. It is checked that for particular variants of a rectangular pontoon and a triangular boat, the previously known results follow from the found stability conditions in both problems. The found solutions are illustrated as a series of stability regions on the plane of two dimensionless parameters when the value of the third parameter varies. This graphical interpretation allows to establish the main qualitative and quantitative features of the constructed solutions and draw key conclusions. The obtained results are interesting from a theoretical point of view and may be of some practical value.

Keywords:

floating barge, stability, static analysis, stability region, plane of dimensionless parameters

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References

Литература

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Published

2022-12-26

How to Cite

Smirnov, A. S., & Khashba, T. N. (2022). Stability of floating barges with trapezoidal and pentagonal sections. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9(4), 740–752. https://doi.org/10.21638/spbu01.2022.415

Issue

Vol. 9 No. 4 (2022)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.