Purpose In this paper, the purpose of this paper is to increase the energy collected by piezoelectric energy harvesting device and to decrease the adverse effects of vibration on the lifetime of the devices. A novel piezoelectric energy harvesting device built on an inerter-based X-structure (IBXS) vibration isolator is presented. The X-structure (XS) vibration isolator and damper are vertically coupled to a mass block located at the terminal of the piezoelectric beam. Methods Dynamic analysis of the X-structure vibration isolator was carried out. The expressions for the kinetic, potential and dissipation energies of the X-structure were deduced, and the dynamic equations were established according to Lagrange's principle. The dynamical system equations were deduced by the electromechanical coupling approach, the frequency domain solution of the system of equations was found by utilizing the harmonic balance method (HBM), and the amplitude-frequency response curves were plotted for the system. Based on the Runge–Kutta method, multi-color graphs were plotted for the root mean square (RMS) values of sensed voltage and output power. Results Improvement of the sensed voltage and output power of the energy harvesting device by introducing a nonlinear X-structure vibration isolator. By changing the angle between the X- structure and the base plate, the energy collected by the nonlinear device can be increased. Under the different external simple harmonic excitations, the system can capture energy over a wide range of effective operating intervals. The system collects the most energy when the simple harmonic amplitude <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42417_2025_1953_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="75" /> </InlineMediaObject> <EquationSource Format="TEX">${A}_{m}=0.09$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>A</mi> <mi>m</mi> </msub> <mo>=</mo> <mn>0.09</mn> </mrow> </math></EquationSource> </InlineEquation> and the angle <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42417_2025_1953_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">$\theta =$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>θ</mi> <mo>=</mo> </mrow> </math></EquationSource> </InlineEquation> 55°. Conclusion The new piezoelectric energy harvesting system with an IBXS vibration isolator works in low-frequency environments and offers a new solution to replace conventional battery technology.

Nonlinear Dynamics of a Novel Piezoelectric Energy Harvesting System Based on X-Structure Vibration Isolator with Inerter

期刊论文
发表日期：

2025年6月27日

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Xiaofang Kang,
Shaojie Ma,
Xinzong Wang,
Guanghui Xia,
Jun Hu,
Ao Zhang,
Changqing Dai,
Hui Li

摘要

Purpose

In this paper, the purpose of this paper is to increase the energy collected by piezoelectric energy harvesting device and to decrease the adverse effects of vibration on the lifetime of the devices. A novel piezoelectric energy harvesting device built on an inerter-based X-structure (IBXS) vibration isolator is presented. The X-structure (XS) vibration isolator and damper are vertically coupled to a mass block located at the terminal of the piezoelectric beam.

Methods

Dynamic analysis of the X-structure vibration isolator was carried out. The expressions for the kinetic, potential and dissipation energies of the X-structure were deduced, and the dynamic equations were established according to Lagrange's principle. The dynamical system equations were deduced by the electromechanical coupling approach, the frequency domain solution of the system of equations was found by utilizing the harmonic balance method (HBM), and the amplitude-frequency response curves were plotted for the system. Based on the Runge–Kutta method, multi-color graphs were plotted for the root mean square (RMS) values of sensed voltage and output power.

Results

Improvement of the sensed voltage and output power of the energy harvesting device by introducing a nonlinear X-structure vibration isolator. By changing the angle between the X- structure and the base plate, the energy collected by the nonlinear device can be increased. Under the different external simple harmonic excitations, the system can capture energy over a wide range of effective operating intervals. The system collects the most energy when the simple harmonic amplitude ${A}_{m}=0.09$ $A_{m} = 0.09$ and the angle $\theta =$ $θ =$ 55°.

Conclusion

The new piezoelectric energy harvesting system with an IBXS vibration isolator works in low-frequency environments and offers a new solution to replace conventional battery technology.