Semi-passive random vibration control based on statistics

• Published in: Journal of sound and vibration Vol. 307; no. 3; pp. 818 - 833
• Main Authors: Guyomar, D., Richard, C., Mohammadi, S.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 06.11.2007; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Random noise; Statistical analysis; Piezoelectric sensor; Probabilistic approach; Random excitation; Multimode waveguide; Windows; Passive system; Active system; Voltage; Vibration control; Standard deviation; Vibrational mode; Random vibration
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2007.07.008

This paper considers the development of an enhanced control strategy for a semi-passive piezoelectric damping device (SSD or pulse switching). Following the proposed approach, the voltage or displacement signal is analysed during a given time window and the statistically probable displacement or voltage-level threshold is determined from both the average and standard deviation of the signal during the observation period. The voltage step still occurs on a local maximum of the signal but only above the statistically defined threshold. A significant decrease in vibration energy is demonstrated experimentally and theoretically in the case of a clamped beam excited by random noise. It is shown that in the case of multimodal vibration, all of the modes are controlled and preferentially those corresponding to the highest displacement amplitudes.