Identification of Stiffness Force in Nonlinear Piezoelectric Structures Based on Hilbert Transform

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review

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Author(s)

Detail(s)

Original languageEnglish
Title of host publicationAdvances in Applied Nonlinear Dynamics, Vibration and Control - 2021
Subtitle of host publicationThe proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control (ICANDVC2021)
EditorsXingjian Jing, Hu Ding, Jiqiang Wang
Place of PublicationSingapore
PublisherSpringer
Pages584-596
ISBN (Electronic)978-981-16-5912-6
ISBN (Print)9789811659119, 978-981-16-5914-0
Publication statusPublished - 2022
Externally publishedYes

Publication series

NameLecture Notes in Electrical Engineering
Volume799
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

TitleInternational Conference on Applied Nonlinear Dynamics, Vibration and Control (ICANDVC-2021)
PlaceChina
CityHong Kong
Period23 - 25 August 2021

Abstract

Nonlinear piezoelectric structures have attracted great attention in energy harvesting, vibration control, and morphing structures recently. The most important design and dynamic analysis parameters in a nonlinear piezoelectric structure is the nonlinear stiffness force. However, the nonlinear stiffness force is difficult to calculate analytically or measure statically under complicated practical engineering conditions. Therefore, this paper utilizes signal decomposition and the Hilbert transform-based method for the precise identification of stiffness force of a class of typical nonlinear piezoelectric structures. The quasi-zero stiffness, bistable stiffness, and tristable stiffness structures are designed in the magnetic coupled piezoelectric cantilever beam system. The identification process and the applicability based on free vibration and forced frequency-swept response for different nonlinear structures will be discussed. Numerical examples of quasi-zero stiffness, bistable stiffness, and tristable stiffness nonlinear piezoelectric structures show the necessity to choose the reasonable free decay and the forced frequency-swept response for accurate identification. In the experimental condition, the identified nonlinear stiffness force keeps in good agreement with the measurement by the dynamometer.

Research Area(s)

  • Hilbert transform, Nonlinear piezoelectric structures, Nonlinear stiffness force, Signal decomposition

Citation Format(s)

Identification of Stiffness Force in Nonlinear Piezoelectric Structures Based on Hilbert Transform. / Liu, Qinghua; Cao, Junyi; Hou, Zehao; Zhang, Ying; Jing, Xingjian.

Advances in Applied Nonlinear Dynamics, Vibration and Control - 2021: The proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control (ICANDVC2021). ed. / Xingjian Jing; Hu Ding; Jiqiang Wang. Singapore : Springer, 2022. p. 584-596 (Lecture Notes in Electrical Engineering; Vol. 799).

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review