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Analytical model and energy harvesting analysis of a vibrating slender rod with added tip mass in three-dimensional space
The European Physical Journal Special Topics ( IF 2.6 ) Pub Date : 2021-07-30 , DOI: 10.1140/epjs/s11734-021-00241-7
Marek Borowiec 1 , Marcin Bochenski 1 , Andrzej Teter 1 , Grzegorz Litak 2
Affiliation  

In the paper, a new 3D energy harvesting system is provided. This work discussed the Lagrange approach to derive the differential equations of motion in the case of energy harvesting systems. An electromechanical system consists of a mechanical resonator, a piezoelectric transducer and electrical circuit with the load resistor. A flexible slender rod clamped at the bottom and loaded by the tip mass is proposed as the resonator. Moving in the 3D space, it enables the system to avoid the gravitational potential barrier of the straight vertical shape in case of buckling. This paper investigates the response of the rod deflection and the root mean square power output of selected vibration mode shapes with an attached tip mass.



中文翻译:

三维空间中增加尖端质量的振动细长杆的解析模型与能量收集分析

在论文中,提供了一种新的 3D 能量收集系统。这项工作讨论了在能量收集系统的情况下推导运动微分方程的拉格朗日方法。机电系统由机械谐振器、压电换能器和带有负载电阻的电路组成。一个灵活的细长杆夹在底部并由尖端质量加载,被提议作为谐振器。在 3D 空间中移动,它使系统能够在屈曲的情况下避免直线垂直形状的重力势垒。本文研究了杆偏转的响应和带有附加尖端质量的选定振动模式形状的均方根功率输出。

更新日期:2021-07-30
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