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Accession Number:
AD0288025
Title:
THE ENVELOPE OF RANDOM VIBRATION OF A LIGHTLY DAMPED NONLINEAR OSCILLATOR
Corporate Author:
MASSACHUSETTS INST OF TECH CAMBRIDGE
Report Date:
1962-10-01
Abstract:
There are several ways in which the envelope of the stationary random response of a lightly damped oscillator can be characterized. Two characterizations which lead to the same first order probability distributions for systems with conservative nonlinear restoring forces are described. In such systems the envelope distributions are in general different from the distributions of peak amplitudes. The Duffing system is used to illustrate these general results. For the special case of a Gaussian oscillator an envelope characterization is given by Rice. It is shown that in this case the above envelope characterization has the same first order distribution as that given by Rice, but that the second-order probability distributions are in general, different.
Supplementary Note:
DOI: 10.21236/AD0288025
Pages:
0029
Distribution Statement:
Approved for public release; distribution is unlimited.
Contract Number:
AF 49(638)-564
File Size:
0.54MB
