Numerical and Experimental Studies on Nonlinear Dynamics and Performance of a Bistable Piezoelectric Cantilever Generator

A piezo-magneto-elastically coupled distributed-parameter model of a bistable piezoelectric cantilever generator is developed by using the generalized Hamilton principle. The influence of the spacing between two adjacent magnets on the static bifurcation characteristics of the system is studied and...

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Main Authors: Kangkang Guo, Shuqian Cao, Shiyu Wang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2015/692731
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author Kangkang Guo
Shuqian Cao
Shiyu Wang
author_facet Kangkang Guo
Shuqian Cao
Shiyu Wang
author_sort Kangkang Guo
collection DOAJ
description A piezo-magneto-elastically coupled distributed-parameter model of a bistable piezoelectric cantilever generator is developed by using the generalized Hamilton principle. The influence of the spacing between two adjacent magnets on the static bifurcation characteristics of the system is studied and the range of magnet spacing corresponding to the bistable states is obtained. Numerical and experimental studies are carried out to analyze the bifurcation, response characteristics, and their impact on the electrical output performance under varying external excitations. Results indicate that interwell limit cycle motion of the beam around the two centers corresponds to optimum power output; interwell chaotic motion and multiperiodic motion including intrawell oscillations are less effective. At a given frequency, the phenomena of symmetric-breaking and amplitude-phase modulation are observed with increase of base excitation. Both period-doubling bifurcation and intermittency routes to chaotic motion in the bistable system are found. It can be observed that the power output is not proportional to the excitation level because of the bifurcation behaviours.
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institution Kabale University
issn 1070-9622
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series Shock and Vibration
spelling doaj-art-71b01fc60fee44ee8d29aa68fdc78cb82025-08-20T03:33:42ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/692731692731Numerical and Experimental Studies on Nonlinear Dynamics and Performance of a Bistable Piezoelectric Cantilever GeneratorKangkang Guo0Shuqian Cao1Shiyu Wang2School of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaSchool of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaSchool of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaA piezo-magneto-elastically coupled distributed-parameter model of a bistable piezoelectric cantilever generator is developed by using the generalized Hamilton principle. The influence of the spacing between two adjacent magnets on the static bifurcation characteristics of the system is studied and the range of magnet spacing corresponding to the bistable states is obtained. Numerical and experimental studies are carried out to analyze the bifurcation, response characteristics, and their impact on the electrical output performance under varying external excitations. Results indicate that interwell limit cycle motion of the beam around the two centers corresponds to optimum power output; interwell chaotic motion and multiperiodic motion including intrawell oscillations are less effective. At a given frequency, the phenomena of symmetric-breaking and amplitude-phase modulation are observed with increase of base excitation. Both period-doubling bifurcation and intermittency routes to chaotic motion in the bistable system are found. It can be observed that the power output is not proportional to the excitation level because of the bifurcation behaviours.http://dx.doi.org/10.1155/2015/692731
spellingShingle Kangkang Guo
Shuqian Cao
Shiyu Wang
Numerical and Experimental Studies on Nonlinear Dynamics and Performance of a Bistable Piezoelectric Cantilever Generator
Shock and Vibration
title Numerical and Experimental Studies on Nonlinear Dynamics and Performance of a Bistable Piezoelectric Cantilever Generator
title_full Numerical and Experimental Studies on Nonlinear Dynamics and Performance of a Bistable Piezoelectric Cantilever Generator
title_fullStr Numerical and Experimental Studies on Nonlinear Dynamics and Performance of a Bistable Piezoelectric Cantilever Generator
title_full_unstemmed Numerical and Experimental Studies on Nonlinear Dynamics and Performance of a Bistable Piezoelectric Cantilever Generator
title_short Numerical and Experimental Studies on Nonlinear Dynamics and Performance of a Bistable Piezoelectric Cantilever Generator
title_sort numerical and experimental studies on nonlinear dynamics and performance of a bistable piezoelectric cantilever generator
url http://dx.doi.org/10.1155/2015/692731
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AT shiyuwang numericalandexperimentalstudiesonnonlineardynamicsandperformanceofabistablepiezoelectriccantilevergenerator