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COMBINED MASSES OF AN ELASTIC ELLIPSOID OF REVOLUTION OSCILLATING IN A FLUID BOUNDED BY A FREE SURFACE

This article considers small transverse oscillations in a uniform elastic ellipsoid of revolution in an ideal incompressible fluid bounded by a free surface. It is assumed that the major axis of the ellipsoid in its undeformed state is parallel to the free surface. Approximate expressions are obtained for the velocity potential of the ellipsoid which satisfies the Laplace equation throughout the space occupied by the fluid; the velocity potential of the ellipsoids mirror image in the free surface is also found. Both small and large Froude numbers are considered. The two velocity potentials are constructed by successively satisfying the boundary conditions on the surface of the ellipsoid and its image, with oscillations parallel and perpendicular to the free surface taken into account, on the assumption that the shape of the oscillation is a parabola of an order equal to the number of nodes.

  • Corporate Authors:

    Vestnik Leningradskogo Universiteta

    Seriya Matematika, Mekhanika, Astronomiya
    Leningrad,   USSR 
  • Authors:
    • Sabaneyev, V S
  • Publication Date: 1970-10

Media Info

  • Pagination: p. 85-92

Subject/Index Terms

Filing Info

  • Accession Number: 00019716
  • Record Type: Publication
  • Source Agency: Joint Publications Research Service
  • Files: TRIS
  • Created Date: Dec 1 1972 12:00AM