VIBRATIONAL ANALYSIS OF A FREE-FREE BEAM SUBJECTED TO AN AXIAL LOAD.

Abstract

Transverse vibrations in one plane of a non-uniform free-free beam are considered, which include the effects of rotary inertia, shear deflection, and an axial thrust applied at one end of the beam. A matrix of stiffness coefficients is obtained for an axially-loaded beam element. The equations of motion for free vibration of cantilever and free-free nonuniform beams are derived by using matrices and the definition of stiffness coefficient. A digital computer program is included which may be used for the numerical calculation of mode shapes and frequencies of vibration. Frequencies of vibration are calculated for a free-free beam and an axially loaded cantilever beam. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0610229

Entities

People

  • Franklin E. Eastep

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axial Loads
  • Cantilever Beams
  • Coefficients
  • Computer Programs
  • Computers
  • Deflection
  • Digital Computers
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Shift
  • Nonuniform
  • Stiffness
  • Vibration

Fields of Study

  • Physics

Readers

  • Acoustics.
  • Mechanical Engineering/Mechanics of Materials.
  • Pulsed Power and Plasma Physics.