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Modeling and dynamic behavior of rotating blades carrying a tip mass and incorporating adaptive capabilities

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Summary

The problems of the mathematical modeling and dynamical behavior of rotating blades carrying a tip mass and incorporating adaptive capabilities are considered. The blade is modeled as a thinwalled beam incorporating non-classical features such as anisotropy, transverse shear, secondary warping, and includes the centrifugal and Coriolis force fields. For non-adaptive rotating blades, a thorough validation of the structural model and solution methodology is accomplished. The adaptive capabilities provided by a system of piezoactuators bonded or embedded into the structure are also implemented. Based on the converse piezoelectric effect, the piezoactuators produce a localized strain field in response to an applied voltage, and, as a result, an adaptive change of the dynamic response characteristics is obtained. A combined feedback control law relating the piezoelectrically induced bending moment at the beam tip with the kinematical response quantities appropriately selected is used, and its beneficial effects upon the closed-loop eigenvibration characteristics are highlighted.

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Author notes

  1. O. Song

    Present address: Mechanical Engineering Dept., Chungnam National University, 305-764, Taejon, Korea

  2. L. Librescu

    Present address: Engineering Science and Mechanics Department, Virginia Polytechnic Institute and State University, 24061-0219, Blacksburg, VA, USA

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    1. O. Song
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    2. L. Librescu
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    Dedicated to Prof. Dr. Dr. h. c. Franz Ziegler on the occasion of his 60th birthday

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    Song, O., Librescu, L. Modeling and dynamic behavior of rotating blades carrying a tip mass and incorporating adaptive capabilities. Acta Mechanica 134, 169–197 (1999). https://doi.org/10.1007/BF01312654

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    • DOI: https://doi.org/10.1007/BF01312654

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