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RESEARCH PAPERS: Mechanical Signature Analysis Papers

A Mathematical Basis for the Random Decrement Vibration Signature Analysis Technique

[+] Author and Article Information
J. K. Vandiver, M. F. Cook

Massachusetts Institute of Technology, Cambridge, Mass.

A. B. Dunwoody

Dome Petroleum Co., Calgary, Alberta, Canada

R. B. Campbell

Exxon Production Research, Houston, Texas

J. Mech. Des 104(2), 307-313 (Apr 01, 1982) (7 pages) doi:10.1115/1.3256341 History: Received June 03, 1981; Online November 17, 2009

Abstract

The mathematical basis for the Random Decrement Technique of vibration signature analysis is established. The general relationship between the autocorrelation function of a random process and the Randomdec signature is derived. For the particular case of a linear time invariant system excited by a zero-mean, stationary, Gaussian random process, a Randomdec signature of the output is shown to be proportional to the auto-correlation of the output. Example Randomdec signatures are computed from acceleration response time histories from an offshore platform.

Copyright © 1982 by ASME
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