A lumped parameter model for exponentially tapered piezoelectric beam in transverse vibration

Fakharian, Omid; Salmani, Hamed; Kordkheili, S.A. Hosseini

doi:10.1007/s12206-019-0407-x

Cited by 9 publications

(9 citation statements)

References 10 publications

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“…As discussed in the introduction, the relative transmissibility function is used as a comparison tool between the two models. This section presents a review of the mathematical expressions of the relative transmissibility functions for the rectangular and exponentially tapered piezoelectric beams (Erturk and Inman, 2011; Fakharian et al, 2019). The steady-state response of harmonic base excitation for both LPM and DPM is discussed.…”

Section: Transmissibility Functions Of the Piezoelectric Cantilever Harvester Modelsmentioning

confidence: 99%

“…Where b 0 is the width at the root of the beam, m 0 is the mass per unit length at the root and c is the dimensionless taper parameter of the exponential piezoelectric cantilever beam. The steady-state response of relative tip displacement under harmonic base excitation for the DPM is given by Fakharian et al (2019) as…”

Section: Transmissibility Functions Of the Piezoelectric Cantilever Harvester Modelsmentioning

confidence: 99%

“…The second part of the validation is accomplished using the DPM of exponentially tapered piezoelectric beam developed by (Fakharian et al, 2019). Figure 7 shows the relative transmissibility functions of LPM and FEM for exponentially tapered piezoelectric harvesters subjected to different damping ratios.…”

Section: Fem Analysismentioning

confidence: 99%

“…Figure 7 shows the relative transmissibility functions of LPM and FEM for exponentially tapered piezoelectric harvesters subjected to different damping ratios. For damping ratio 0.02 and c = 11.55 (c is the taper parameter based on (Fakharian et al, 2019)), the peak value of the LPM relative transmissibility function is 25 whereas for the FEM is 41.3. The peak relative transmissibility value of the DPM according to (Fakharian et al, 2019) was 42.2.…”

Section: Fem Analysismentioning

confidence: 99%

“…Results showed that the voltage output of the exponentially tapered was less than the rectangular geometry due to the lower volume of the exponential-shaped piezoelectric harvester. Later, (Fakharian et al, 2019) developed a correction factor for the LPM of an exponentially tapered piezoelectric beam using the relative transmissibility function. The correction factor for a tapering parameter of c = 11.55 is estimated to be 1.677 for the first mode shape with no tip mass.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Correction factor of lumped parameter model for linearly tapered piezoelectric cantilever

Ismail

Omar

Ajaj

et al. 2021

Journal of Intelligent Material Systems and Structures

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Distributed parameter model (DPM) gives an accurate representation of the vibration response of piezoelectric cantilevers. Nevertheless, lumped parameter model (LPM) has been widely used because of its simple mathematical representation. However, researchers developed a correction factor for LPM because of its inaccurate power output prediction of the piezoelectric harvesters. The developed correction factors were limited to the rectangular and exponentially tapered piezoelectric beams because the DPM of other shaped beams are rather complicated to derive. This paper presents a correction factor for linearly tapered piezoelectric cantilever beam using a finite element model (FEM) approach. Validation of the developed FEM is accomplished using two analytical models from literature of rectangular and exponentially tapered shapes with tip mass. Results show an excellent agreement between the FEM and the related DPM. The FEM of a linearly tapered piezoelectric cantilever is then built and the error of using the uncorrected LPM for different tapered ratios is investigated. Correction factors of different taper ratios subjected to various tip masses are developed. Comparisons between the corrected LPM and the FEM verify the estimation of the correction factor. Results show that FEM approach can be used to enhance the accuracy of LPM of piezoelectric cantilever harvesters.

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Section: Transmissibility Functions Of the Piezoelectric Cantilever Harvester Modelsmentioning

confidence: 99%

Section: Transmissibility Functions Of the Piezoelectric Cantilever Harvester Modelsmentioning

confidence: 99%

Section: Fem Analysismentioning

confidence: 99%

Section: Fem Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Correction factor of lumped parameter model for linearly tapered piezoelectric cantilever

Ismail

Omar

Ajaj

et al. 2021

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

show abstract

Dynamic Reliability Assessment of Structures and Machines Using the Probability Density Evolution Method

Afshari¹,

Zuo²,

Liang³

2021

Applied Condition Monitoring

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Simultaneous vibration isolation and energy harvesting using quasi-zero-stiffness-based metastructure

et al. 2023

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A lumped parameter model for exponentially tapered piezoelectric beam in transverse vibration

Cited by 9 publications

References 10 publications

Correction factor of lumped parameter model for linearly tapered piezoelectric cantilever

Correction factor of lumped parameter model for linearly tapered piezoelectric cantilever

Dynamic Reliability Assessment of Structures and Machines Using the Probability Density Evolution Method

Simultaneous vibration isolation and energy harvesting using quasi-zero-stiffness-based metastructure

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