从具有运动质量的简支梁中收集压电能量的实验和理论

A.M. Mohaisen, T.J. Ntayeesh
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引用次数: 0

摘要

本文论证了从机械振动中获取电能的可行性。在这项技术中,利用薄压电材料从移动质量下的简支梁振动中获取能量。该结构由长度为L的基本梁表示,该梁的两端支撑,并由以恒定速度v移动的质量M穿过。欧拉-伯努利微分方程描述了它的行为。采用(35.61,65.81和79.41)gr的三个运动质量,分别以(1.6,2和2.4)m/s的均匀速度运动,对梁进行动力分析。通过对压电本构方程的变换,得到了机电系统的微分方程,并用MATLAB进行了数值求解。结果表明,梁的中点挠度和压电电压的数值与实验值非常接近。利用COMSOL程序,通过将计算结果与有限元法(FEM)的数据进行比较,对所提出的方法进行了验证。建立了一个实验装置,以确定压电片产生的电压和由于质量沿梁移动而产生的梁响应。结果表明,动态挠度、压电电压和压电能量收集随运动质量速度和大小的增加而增加。收获功率与负载电阻曲线从零开始,增加到最大值,然后随着电阻的进一步增加几乎保持不变。得到压电片的最佳长度为0.63 m。随着光束长度的增加,谐振频率降低,同时收获的能量增加。然而,增加光束厚度会产生相反的效果;而提高波束宽度不影响谐振频率,但会降低能量收集。这里最重要的一点是需要建立正确的比例模型。它们可以以较低的成本提供大量的信息,适应各种测试设置,并帮助选择和验证最有效的分析模型来解决实际问题。
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An experimental and theoretical piezoelectric energy harvesting from a simply supported beam with moving mass
The feasibility of harvesting electrical energy from mechanical vibration is demonstrated in the thesis. In the technique, energy is harvested from simply supported beam vibration under a moving mass using a thin piezoelectric material.The structure is represented by a basic beam of length L that is supported at both ends and traversed by a moving mass M travelling at a constant velocity v. The Euler-Bernoulli differential equation describes its behaviour. The dynamic analysis of a beam is performed by using three moving masses of (35.61, 65.81, and 79.41) gr each travelling three uniform speeds of (1.6, 2 and 2.4) m/s. A differential equation of the electromechanical system is obtained by transforming the piezoelectric constitutive equation and solved numerically by MATLAB.The results indicate that the numerical and experimental values for the midpoint deflection of the beam and the piezoelectric voltage are very close.Using the COMSOL programme, the proposed approach is checked by comparing results with data obtained by the finite element method (FEM). An experimental setup was also built and constructed to determine the voltage created by the piezoelectric patch and the beam response as a result of the mass travelling along the beam.The results show that the dynamic deflection, piezoelectric voltage, and piezoelectric energy harvesting all increase as the speed and magnitude of the moving mass increase. The harvesting power vs. load resistance curve begins at zero, increases to a maximum value, and then remains almost constant as the resistance is increased further. The optimal length of the piezoelectric patch was obtained to be 0.63 m. When the length of the beam increases, the resonant frequency decreases, and at the same time the harvested energy increases. However, increasing the beam thickness has the opposite effect; whereas raising the beam width does not affect the resonant frequency but decreases energy harvesting.The most essential point here is the need to have correctly built scale models. They can provide a substantial amount of information at a low cost, accommodate a variety of test settings, and aid in the selection and verification of the most effective analytical model to resolve the actual issue.
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来源期刊
Archives of materials science and engineering
Archives of materials science and engineering Materials Science-Materials Science (all)
CiteScore
2.90
自引率
0.00%
发文量
15
期刊最新文献
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