An Estimator for the Standard Deviation of a Natural Frequency—Part 1

1 June 1972

journal article
Published by ASME International in Journal of Applied Mechanics

Vol. 39 (2) , 535-538
https://doi.org/10.1115/1.3422712

Abstract

An estimator for the standard deviation of a natural frequency in terms of second-order statistical properties of the parameters of the system is derived. Results for one simple example is presented in this part and are compared with theoretical and Monte Carlo results. Further results and discussion will be presented in Part 2, ASME Paper No. 71-WA/APM-8.

Keywords

STANDARD DEVIATION
RESONANT FREQUENCIES
ESTIMATORS
POTENTIAL ENERGY
DEGREES OF FREEDOM
MONTE CARLO METHOD
NATURAL FREQUENCY
STATISTICAL ANALYSIS

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