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) : Pestorius,Thomas Daniel

Report Date : JUN 1969

Pagination or Media Count : 54

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)

Descriptors :   (*BEAMS(STRUCTURAL), SHEAR STRESSES), MATHEMATICAL MODELS, NUMERICAL ANALYSIS, DIFFERENTIAL EQUATIONS, VIBRATION, RESONANT FREQUENCY, DEFLECTION, COMPUTER PROGRAMS, THESES

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE