title: Stability of floating vessels with cross sections in the form of elliptic and hyperbolic segments
metadata.name: dc.contributor.author
metadata.value: Smirnov, Аleksey S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kravchinsky, Igor A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-05-30T15:52:45Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-05-30T15:52:45Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Smirnov A. S., Kravchinsky I.A. Stability of floating vessels with cross sections in the form of elliptic and hyperbolic segments. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 1, pp. 171–184. https://doi.org/10.21638/spbu01.2024.112 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.112
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45459
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper considers two problems on the stability of the trivial equilibrium position of
  floating vessels with cross sections in the form of elliptic and hyperbolic segments. A review
  of examples on the stability of floating bodies is given and the key principles of its
  study by methods of analytical statics are outlined. For each of the presented problems, by
  means of rather serious mathematical constructions, an exact expression for the potential
  energy is obtained within the framework of the accepted configuration, and its quadratic
  approximation is calculated near the equilibrium state under study. On its basis, stability
  conditions of the equilibrium position are established in terms of three dimensionless
  parameters, and limit cases are also analyzed. A comparison of intermediate expressions
  and final results obtained in the process of discussing each of the problems is carried out,
  and their common features and distinctive features are revealed. The found solutions are
  illustrated as families of boundaries of stability regions on the plane of two dimensionless
  parameters for different values of the third parameter. These results are of fundamental
  theoretical importance and may be useful for practical applications.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: floating vessel
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: elliptic and hyperbolic segments
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: static analysis
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: boundary of the stability region
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: plane of dimensionless parameters
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Stability of floating vessels with cross sections in the form of elliptic and hyperbolic segments
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 171-184.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45459/1/171-184.pdf
resources.format: Adobe PDF
resources.size: 529,38 kB