Accession Number:

AD0706730

Title:

SYNTHESIS OF DOUBLY SYMMETRIC VIBRATING BEAMS INCLUDING SHEAR.

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s):

Report Date:

1969-06-01

Pagination or Media Count:

54.0

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

Subject Categories:

  • Structural Engineering and Building Technology
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE