Accession Number:

AD0256549

Title:

RANDOM VIBRATION OF BEAMS

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE

Personal Author(s):

Report Date:

1961-04-01

Pagination or Media Count:

1.0

Abstract:

The mean square deflections, slopes, bending moments and shear forces were compared for 4 different dynamical models with 3 different damping mechanisms, subjected to a distributed transverse loading process which was uncorrelated space-wise and which was either ideally, white time-wise or band-limited with an upper cut-off frequency. The dynamic models were the Bernoulli-Euler beam, the Timoshenko beam and two intermediate models, the Rayleigh beam, and a beam which has the shear flexibility of the Timoshenko beam but not the rotatory inertia. The damping mechanisms were transverse viscous damping, rotatory viscous damping, and Voigt visco-elasticity. Many of the mean square response quantities were finite when the excitation was ideally white i.e., when the input has infinite mean square, however some of the responses were unbounded. For these cases the rate of growth of the response was obtained as the cut-off frequency of the excitation was increased. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE