Smart Structures and Systems

  • 제7권5호
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  • Pages.417-432
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  • 2011
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Passive shape control of force-induced harmonic lateral vibrations for laminated piezoelastic Bernoulli-Euler beams-theory and practical relevance

  • Schoeftner, J. (Institute of Technical Mechanics, Johannes Kepler University of Linz) ;
  • Irschik, H. (Institute of Technical Mechanics, Johannes Kepler University of Linz)
  • 투고 : 2010.12.30
  • 심사 : 2011.04.21
  • 발행 : 2011.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

The present paper is devoted to vibration canceling and shape control of piezoelastic slender beams. Taking into account the presence of electric networks, an extended electromechanically coupled Bernoulli-Euler beam theory for passive piezoelectric composite structures is shortly introduced in the first part of our contribution. The second part of the paper deals with the concept of passive shape control of beams using shaped piezoelectric layers and tuned inductive networks. It is shown that an impedance matching and a shaping condition must be fulfilled in order to perfectly cancel vibrations due to an arbitrary harmonic load for a specific frequency. As a main result of the present paper, the correctness of the theory of passive shape control is demonstrated for a harmonically excited piezoelelastic cantilever by a finite element calculation based on one-dimensional Bernoulli-Euler beam elements, as well as by the commercial finite element code of ANSYS using three-dimensional solid elements. Finally, an outlook for the practical importance of the passive shape control concept is given: It is shown that harmonic vibrations of a beam with properly shaped layers according to the presented passive shape control theory, which are attached to an resistor-inductive circuit (RL-circuit), can be significantly reduced over a large frequency range compared to a beam with uniformly distributed piezoelectric layers.

키워드

참고문헌

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피인용 문헌

  1. Single point vibration control for a passive piezoelectric Bernoulli–Euler beam subjected to spatially varying harmonic loads vol.223, pp.9, 2012, https://doi.org/10.1007/s00707-012-0686-0
  2. A contribution on the optimal design of a vibrating cantilever in a power harvesting application – Optimization of piezoelectric layer distributions in combination with advanced harvesting circuits vol.53, 2013, https://doi.org/10.1016/j.engstruct.2013.03.022
  3. Modeling of slender laminated piezoelastic beams with resistive electrodes—comparison of analytical results with three-dimensional finite element calculations vol.22, pp.3, 2013, https://doi.org/10.1088/0964-1726/22/3/032001
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  5. Transverse dynamics of slender piezoelectric bimorphs with resistive-inductive electrodes vol.18, pp.2, 2016, https://doi.org/10.12989/sss.2016.18.2.355
  6. A two-variable simplified nth-higher-order theory for free vibration behavior of laminated plates vol.182, 2017, https://doi.org/10.1016/j.compstruct.2017.09.041
  7. Active shape control of a cantilever by resistively interconnected piezoelectric patches vol.12, pp.5, 2013, https://doi.org/10.12989/sss.2013.12.5.501
  8. Stress tracking in thin bars by eigenstrain actuation vol.383, 2016, https://doi.org/10.1016/j.jsv.2016.07.025
  9. Unified solutions for piezoelectric bilayer cantilevers and solution modifications vol.16, pp.5, 2015, https://doi.org/10.12989/sss.2015.16.5.759
  10. Static and dynamic shape control of slender beams by piezoelectric actuation and resistive electrodes vol.111, 2014, https://doi.org/10.1016/j.compstruct.2013.12.015
  11. Theoretical prediction and experimental verification of shape control of beams with piezoelectric patches and resistive circuits vol.133, 2015, https://doi.org/10.1016/j.compstruct.2015.07.026
  12. Mechanics and Model Based Control vol.83, pp.1662-0356, 2012, https://doi.org/10.4028/www.scientific.net/AST.83.85