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Modelling of a Rotating Active Thin-Walled Composite Beam System Subjected to High Electric Fields

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Advanced Methods of Continuum Mechanics for Materials and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 60))

Abstract

An electromechanical coupled theory is used to develop the equations of motion of a rotating thin-walled composite beam with surface bonded/embedded piezoelectric transducers. The higher order constitutive relations for the piezoceramic material are used to take into account the impact of a high electric field. In the mathematical model of the hybrid structure, the non-classical effects like material anisotropy, rotary inertia and transverse shear deformation as well as an arbitrary beam pitch angle are incorporated. Moreover, the model considers the hub mass moment of inertia and a non-constant rotating speed case. This approach results in an additional equation of motion for the hub sub-system and enhances the generality of the formulation. It is shown that final equations of motion of the hub–beam system are mutually coupled and form a nonlinear system of partial differential equations. Comparing to the purely mechanical model, the proposed electromechanical one introduces additional stiffness-type couplings between individual degrees of freedom of the system.

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Acknowledgments

The work is financially supported by grant DEC-2012/07/B/ST8/03931 from the Polish National Science Centre. Author would also like to thank Professor Jerzy Warmiński for his comments and the valuable discussions while preparing the manuscript.

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Authors and Affiliations

  1. Department of Applied Mechanics, Lublin University of Technology, ul. Nadbystrzycka 36, 20-618, Lublin, Poland

    Jarosław Latalski

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  1. Jarosław Latalski
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Correspondence to Jarosław Latalski .

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Editors and Affiliations

  1. Institute of Mechanics IFME, Otto von Guericke University, Magdeburg, Sachsen-Anhalt, Germany

    Konstantin Naumenko

  2. Otto von Guericke University, Institute of Mechanics, Magdeburg, Germany

    Marcus Aßmus

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Latalski, J. (2016). Modelling of a Rotating Active Thin-Walled Composite Beam System Subjected to High Electric Fields. In: Naumenko, K., Aßmus, M. (eds) Advanced Methods of Continuum Mechanics for Materials and Structures. Advanced Structured Materials, vol 60. Springer, Singapore. https://doi.org/10.1007/978-981-10-0959-4_24

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  • DOI: https://doi.org/10.1007/978-981-10-0959-4_24

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0958-7

  • Online ISBN: 978-981-10-0959-4

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