NATURAL FREQUENCIES OF A BODY OF REVOLUTION VIBRATING TRANSVERSELY IN A FLUID,

Abstract

A previously developed procedure, in which the natural frequencies of a body vibrating in a fluid are given by the eigenvalues of the potential energy matrix of an elastic body with respect to the combined kinetic energy matrix of the body and fluid, is applied to a body revolution. Integral relations between the velocity potential on the body and the vibration velocity, and the expression for the kinetic energy of the fluid energy. Integrals for the kinetic and potential energies of the elastic body, taking both bending and shear into account, are also discretized. The method is illustrated by application to a form with assumed inertial and elastic characteristics. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1968
Accession Number
AD0700275

Entities

People

  • Louis Landweber

Organizations

  • University of Iowa

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Eigenvalues
  • Energy
  • Frequency
  • Frequency Shift
  • Integrals
  • Kinetic Energy
  • Mechanical Waves
  • Motion
  • Potential Energy
  • Resonant Frequency
  • Revolutions
  • Vibration
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.