DOI: https://doi.org/10.1115/detc1995-0677Mar 5, 2021Proceedings Paper

Identification of the Polyharmonic Vibration From Combination With a Normal Random Noise by the Use of High-Order Moments of Instantaneous-Value Distribution

Alexander Steinwolf

Abstract

Polyharmonic oscillation with multiple frequencies is inherent in many applied problems. However, it rarely exists in the pure form and is often accompanied by a random vibration. Separation of the periodic signal from the actual record measured is usually restricted to determining the harmonic amplitudes only. The paper presents a method for complete identification of polyharmonic process including the phase angles that were unattainable when its period is unknown a priori. The approach is based on the fact that the presence of a periodic component transforms the instantaneous-value probability distribution of the combined signal to the non-Gaussian form. The solution obtained is compared with the results of time domain averaging.

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