SYNTHESIS OF DOUBLY SYMMETRIC VIBRATING BEAMS INCLUDING SHEAR.

Abstract

A fundamental, non-linear, ordinary differential equation is derived for the flexural vibrations of a non-uniform beam, including shear. This equation is solved with the specializing assumptions of a constant shear coefficient and that the moment of inertia is directly proportional to the cross sectional area. A perturbation method is used and the eigen frequencies and mode shapes obtained are functions of a perturbation parameter epsilon. These solutions are accurate up to the second order of episilon. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0706730

Entities

People

  • Thomas Daniel Pestorius

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Differential Equations
  • Doppler Effect
  • Equations
  • Frequency
  • Frequency Shift
  • Inertia
  • Mathematical Analysis
  • Mathematics
  • Moment Of Inertia
  • Perturbations
  • Vibration

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.