OSCILLATION OF A CYLINDRICAL SHELL IN A FLOW OF AN IDEAL FLUID (KOLEBANIYA TSILINDRICHESKOI OBOLOCHKI V POTOKE IDEALNOI ZHIDKOSTI),

Abstract

An examination was made of the transverse vibrations of a short cylindrical shell in a potential three-dimensional flow of a perfect fluid. The velocity potential of the flow within a tube (shell) and the pressure of the fluid on the walls of the shell are determined. The author utilizes the expression for the pressure on the walls of the shell to integrate the system of differential equations that describes the deformed state of a shell with hinge-supported ends and determines the frequency of the transverse vibrations of the shell for a special case of zero flow velocity. The results obtained afford a means for the approximate estimation of the influence of the entrained fluid mass on the vibrational frequency of a shell. In conclusion a case is examined in which the fluid flow is outside the shell. In that case also, an approximate formula is obtained for the frequency of vibration. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 12, 1967
Accession Number
AD0670298

Entities

People

  • A. N. Volkov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Flow
  • Fluid Flow
  • Frequency
  • Frequency Shift
  • Mathematics
  • Motion
  • Oscillation
  • Three Dimensional
  • Three Dimensional Flow
  • Transverse
  • Vibration

Readers

  • Information Retrieval
  • Structural Dynamics.