ON PLATES SEALING AN INCOMPRESSIBLE LIQUID.

Abstract

After a brief description of the circumstances which led to the investigation of the title problem and discussion of some related previous investigations, exact solutions are derived for a circular plate which seals an incompressible liquid, is clamped along the boundary and is subjected at an arbitrary point to a lateral concentrated force P. For the case when the plate is covered by a thin liquid layer the solution is obtained in closed form. When this liquid layer is absent, the solution is obtained as an infinite series. The paper concludes with a study of the range of the parameter (lambda a) for which the effort of buoyancy is negligible upon the deflections and stresses in the plate. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1968
Accession Number
AD0681212

Entities

People

  • Arnold D. Kerr

Organizations

  • Cold Regions Research and Engineering Laboratory

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Buoyancy
  • Deflection
  • Infinite Series
  • Mathematical Analysis
  • Mathematics
  • Physical Properties
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Materials Science
  • Structural Dynamics.