Theoretical Study on Widening Bandwidth of Piezoelectric Vibration Energy Harvester with Nonlinear Characteristics

Zhang, Qichang; Yang, Yang; Wang, Wei

doi:10.3390/mi12111301

Cited by 15 publications

(4 citation statements)

References 31 publications

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“…The parameters appeared in the magnetic field and force equations (M (i ) , α (i ) and M t ) need to be determined in further identification procedures. It should be noted that the torque between magnets is ignored [57].…”

Section: Magnetic Field and Magnetic Forcementioning

confidence: 99%

A mechanical-free designing method for tailoring nonlinearity in bi-stable piezoelectric energy harvesters

Leng

et al. 2023

Smart Mater. Struct.

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This paper presents a mechanical-free method for providing and tailoring the nonlinear force in bistable piezoelectric energy harvesters (BPEHs). The nonlinear force can be tailored to obtain a lower threshold for inter-well motions, or for the harvester to operate at various excitation levels and frequencies without changing the mechanical structure or the overall assembly. In BPEHs, the nonlinear force is tailored to match a specific excitation level and frequency, and the mechanical structure is designed to achieve higher strain (and thus higher output power). The design of nonlinearity can be separated from the design of the mechanical structure by using magnetic interactions. Hence, the design of nonlinearity is the arrangement of the external magnetic field of the harvester. In this paper, arranging the external magnetic field is achieved by arranging the magnetization distribution of one external magnet. With the locally demagnetizing technique, a uniformly magnetized permanent magnet can be locally demagnetized with desired patterns. The external magnetic field is provided by a locally demagnetized permanent magnet (LDPM). The nonlinear force can be tailored by simply altering the properties of the LDPM. This method converts the design of providing and tailoring the nonlinear force into the design of the LDPMs. For demonstration, we show that without increasing the distance between magnets, the potential barrier of the bistable system is dramatically reduced by using LDPMs. Melnikov’s method is utilized to show that the energy harvesters with LDPMs possess a lower threshold for homoclinic tangency than energy harvesters with a normal magnet. The influence of the parameters of the LDPMs on the energy harvesting performance is studied via simulations and experiments. Results show that without violating the mechanical part, changing the locally demagnetizing patterns can effectively change the harvester's working frequency and excitation threshold.

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Section: Magnetic Field and Magnetic Forcementioning

confidence: 99%

A mechanical-free designing method for tailoring nonlinearity in bi-stable piezoelectric energy harvesters

Leng

et al. 2023

Smart Mater. Struct.

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“…This method via complex normal form introduces a dynamic frequency factor to convert the differential equations into a set of algebraic equations which could deal with the effect of higher-order nonlinear terms. Zhang et al [ 37 ] proved that the CDF method is suitable for harvesters which feature the complicated nonlinear mechanism, such as multi-stability and piecewise linearity.…”

Section: Dynamic Analyze and Bifurcation Investigationmentioning

confidence: 99%

Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory

Zhang

Yan

Han

et al. 2022

Sensors

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The parameter tuning of a multi-stable energy harvester is crucial to enhancing harvesting efficiency. In this paper, the bifurcation theory is applied to quantitatively reveal the effects of structural parameters on the statics and dynamics of a quad-stable energy harvester (QEH). Firstly, a novel QEH system utilizing the geometric nonlinearity of springs is proposed. Static bifurcation analysis is carried out to design quad-stable working conditions. To investigate the cross-well and high-energy vibration, the complex dynamic frequency (CDF) method, suitable for both weakly and strongly nonlinear dynamic problems, is then applied to deduce the primary response solution. By using the unfolding analysis in singularity theory, four steady-state properties and dozens of primary resonance modes are demonstrated. Based on the transition set, the effective bandwidth for energy harvesting can be customized to adapt well to various vibration environments by parametric adjustment. Finally, the experimental tests verify that the output power can reach up to 1 mW. The proposed QEH and its mechanics optimization can guide energy supply for next-generation wireless systems and low-power sensors under magnetic forbidding environments.

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“…Since small-scale effect is not considered by the classical continuum mechanics [ 5 ], the modified strain gradient theory [ 19 ] and the modified couple stress theory [ 20 , 21 ] were proposed in some research to capture the scale effect of the continuum constitutive model. When the dynamic response of micro/nanomaterials is studied, the impact of nonlinearity is a significant factor [ 22 , 23 , 24 ]. However, the nonlinear term caused by damping is ignored in most studies of micro/nanobeam vibration.…”

Section: Introductionmentioning

confidence: 99%

Impacts of Small-Scale Effect and Nonlinear Damping on the Nonlinear Vibrations of Electrostatic Microresonators

Meng

Huang

2023

Micromachines

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Although the small-scale effect and nonlinear damping on the nonlinear vibration of microbeam electrostatic resonators are important, they have been overlooked by researchers. We use the slender beam model including the small-scale effect and nonlinear damping to investigate the nonlinear vibrations of the electrostatic resonators in the present paper. We apply the Galerkin method on a nonlinear partial differential equation to obtain the nonlinear ordinary differential equations for the first and third modes. The two equations include constant terms. The multiple-scale method is used to obtain the approximate analytical solutions of the two equations. The approximate analytical solutions discover the effects of driving electric field, small-scale effect, and nonlinear damping on structural vibrations. The results suggest that the small-scale effect, the direct current (DC) voltage, and the alternating current (AC) voltage have some critical effects on the vibrations of microresonators.

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Theoretical Study on Widening Bandwidth of Piezoelectric Vibration Energy Harvester with Nonlinear Characteristics

Cited by 15 publications

References 31 publications

A mechanical-free designing method for tailoring nonlinearity in bi-stable piezoelectric energy harvesters

A mechanical-free designing method for tailoring nonlinearity in bi-stable piezoelectric energy harvesters

Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory

Impacts of Small-Scale Effect and Nonlinear Damping on the Nonlinear Vibrations of Electrostatic Microresonators

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