Accession Number:

AD0716383

Title:

Finite-Difference Analysis of the Vibrations of Solid Cylinders,

Descriptive Note:

Corporate Author:

DEFENCE RESEARCH ESTABLISHMENT ATLANTIC DARTMOUTH (NOVA SCOTIA)

Personal Author(s):

Report Date:

1969-12-16

Pagination or Media Count:

8.0

Abstract:

A finite-difference analysis has been used to study the free axially symmetric vibrations of solid, isotropic, elastic cylinders. A grid having up to 36 independent lattice points was used with simple central-difference formulas to set up a system of homogeneous equations, whose determinant was solved to yield the resonance frequencies. The results have been compared with Rayleigh-type thickness corrections to the frequency equations for thin disks and slender rods and with experimental observations on solid steel and aluminum cylinders. The results indicate an accuracy within 1 for the first longitudinally symmetric mode and within 4 for the second symmetric and first and second antisymmetric modes over a height-to-radius ratio range of 0.8-3.5 and for Poissons ratio up to 0.34. Author

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE