Accession Number:

AD0748355

Title:

Approximate First Natural Frequencies of Uniform Thin Plates with Slightly Noncircular Boundaries.

Descriptive Note:

Master's thesis,

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Personal Author(s):

Report Date:

1972-06-01

Pagination or Media Count:

86.0

Abstract:

An attempt was made to obtain first natural frequencies of vibration of slightly noncircular plates by regular perturbation theory. The method of this study assumed a three term asymptotic series to represent the mode shape of a freely vibrating plate. The first term was recognized to be the mode shape of an equivalent circular plate. The second and third terms represented approximations, in decreasing significance, of higher mode shapes of a circular plate. Boundaries of the noncircular plate were represented by the first few significant terms of a Fourier series. Restraint conditions at the plate conditions at the plate boundaries were specified and the assumed mode shape was satisfied at the boundary given by the Fourier series. Author

Subject Categories:

  • Aircraft
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE