Abstract
An improved lumped parameter model (ILPM) is proposed which predicts the output characteristics of a piezoelectric vibration energy harvester (PVEH). A correction factor is derived for improving the precisions of lumped parameter models for transverse vibration, by considering the dynamic mode shape and the strain distribution of the PVEH. For a tip mass, variations of the correction factor with PVEH length are presented with curve fitting from numerical solutions. The improved governing motion equations and exact analytical solution of the PVEH excited by persistent base motions are developed. Steady-state electrical and mechanical response expressions are derived for arbitrary frequency excitations. Effects of the structural parameters on the electromechanical outputs of the PVEH and important characteristics of the PVEH, such as short-circuit and open-circuit behaviors, are analyzed numerically in detail. Accuracy of the output performances of the ILPM is identified from the available lumped parameter models and the coupled distributed parameter model. Good agreement is found between the analytical results of the ILPM and the coupled distributed parameter model. The results demonstrate the feasibility of the ILPM as a simple and effective means for enhancing the predictions of the PVEH.
Highlights
Wireless sensors and communication node networks have recently been attracting a large amount of interest because of their rapid development and wide applications [1, 2]
Unlike the above-mentioned studies, this paper presents an improved lumped parameter model (ILPM) in which the electromechanical coupled effects as well as the dynamic mode and the accurate strain distribution of the piezoelectric vibration energy harvesters (PVEH) are taken into account
We have proposed an ILPM of the PVEH that takes into account dynamic mode and accurate strain distribution
Summary
Wireless sensors and communication node networks have recently been attracting a large amount of interest because of their rapid development and wide applications [1, 2]. It was recently shown that the SODF model may produce highly inaccurate results for both transverse vibrations and longitudinal vibrations [13,14,15] This is because the contribution of the distributed mass of the cantilevered beam to the excitation amplitude, which is not modeled by Roundy et al [9], is underestimated because of the SDOF in a work by duToit et al [17]. Erturk and Inman [13,14,15] give expressions of the relative tip response, obtained from SDOF and Euler-Bernoulli models By comparing these two models, an amplitude correction factor was derived to improve the prediction of the SDOF model. The presented ILPM provides a simple and effective approach to modeling and predicting the PVEH in transverse vibrations
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