Accession Number : AD0716383

Title :   Finite-Difference Analysis of the Vibrations of Solid Cylinders,

Corporate Author : DEFENCE RESEARCH ESTABLISHMENT ATLANTIC DARTMOUTH (NOVA SCOTIA)

Personal Author(s) : McMahon,G. W.

Report Date : 16 DEC 1969

Pagination or Media Count : 8

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 Poisson's ratio up to 0.34. (Author)

Descriptors :   (*ELASTIC SHELLS, VIBRATION), (*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), ELASTIC PROPERTIES, CYLINDRICAL BODIES, DIFFERENCE EQUATIONS, RESONANT FREQUENCY, ALUMINUM, STEEL, CANADA

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE