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.

分布参数模型（DPM）可以准确表示压电悬臂梁的振动响应。然而，集总参数模型（LPM）由于其简单的数学表示而已被广泛使用。但是，研究人员开发了LPM的校正因子，因为它对压电收割机的功率输出预测不准确。由于其他形状的梁的DPM导出起来相当复杂，因此开发出的校正因子仅限于矩形和指数锥形的压电梁。本文提出了一种使用有限元模型（FEM）方法的线性锥形压电悬臂梁的校正系数。使用具有尖端质量的矩形和指数锥形形状的文献中的两个分析模型，可以完成对开发的FEM的验证。结果表明，FEM与相关的DPM之间达成了极好的协议。然后建立了线性锥形压电悬臂的有限元，并研究了在不同的锥形比率下使用未校正的LPM的误差。提出了承受各种刀尖质量的不同锥度比的校正系数。校正后的LPM和FEM之间的比较验证了校正因子的估计。结果表明，有限元方法可用于提高压电悬臂式收割机的LPM精度。校正后的LPM和FEM之间的比较验证了校正因子的估计。结果表明，有限元方法可用于提高压电悬臂式收割机的LPM精度。校正后的LPM和FEM之间的比较验证了校正因子的估计。结果表明，有限元方法可用于提高压电悬臂式收割机的LPM精度。