Open AccessVibration Modelling and Control Experiments for a Thin-Walled Cylindrical Rotor with Piezo Patch Actuation and Sensing
Author(s) -
Ziv Brand,
Matthew Owen Col Thomas,
Wichaphon Fakkaew,
Chakkapong Chamroon
Publication year - 2020
Publication title -
warasan witsawakammasat, chulalongkorn university
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 20
ISSN - 0125-8281
DOI - 10.4186/ej.2020.24.6.127
Subject(s) - rotor (electric) , vibration , actuator , helicopter rotor , active vibration control , vibration control , controller (irrigation) , magnetic bearing , parametric statistics , shell (structure) , engineering , critical speed , rotation (mathematics) , rotational speed , acoustics , control theory (sociology) , piezoelectricity , mechanical engineering , physics , computer science , control (management) , agronomy , statistics , electrical engineering , mathematics , artificial intelligence , biology
This paper describes a dynamic model formulation and control experiments concerning the vibration behaviour of a thin-walled cylindrical rotor with internal piezoelectric patch transducers. Model development, validation and controller design procedures were undertaken for an experimental rotordynamic system comprising a tubular steel rotor (length 0.8 m, diameter 0.166 m and wall-thickness 3.06 mm) supported by two radial active magnetic bearings. Analytical solutions for mode shapes and natural frequencies for free vibration were first derived using a shell theory model, and these used to construct a speed-dependent parametric model for the rotor structure, including piezo patch actuators and sensors. The results confirm that the developed shell theory model can accurately capture the rotating frame dynamics and accounts correctly for frequency splitting from Coriolis effects. The model is also shown to be suitable for active controller design and optimization. Model-based H2 feedback control using the rotor-mounted actuators and sensors is shown to achieve vibration suppression of targeted flexural modes, both with and without rotation.