Energy Harvesting Estimation from the Vibration of a Simply Supported Beam

Abstract

Vibration-based energy harvesting has been investigated in this paper with the goal to utilize the ambient vibration energy to power small electronic components by converting vibration energy into electrical energy. A simply supported beam with a bonded high density piezoelectric patch to the surface is considered for the analysis. Analytical model for free vibration analysis is developed by starting with the linear constitutive relations for the beam and the patch. The equation of motion for transverse vibration of the beam is developed by considering the elastic as well as electrical properties in the generalized Hookes law and accordingly a transverse displacement function satisfying the simply supported boundary conditions is used for achieving the modal frequencies. Additionally, an analytical model is developed in order to estimate the energy generated under the action of a harmonic force applied on the surface of the patch. The results of the analytical model are validated using simulation software ANSYS and COMSOL.The developed analytical model is used to study the behavior of a simply supported harvester with various patch dimensions and locations. This paper throws light on parametric studies of eigen frequencies as well as extracted power corresponding to operating conditions.

Analysis of Double Elastic Steel Wind Driven Magneto-Electric Vibration Energy Harvesting System

“…This study uses the piezoelectric equation of the piezoelectric patch (PZT patch) of Rajora et al [9] as follows:…”

“…In the VEH study, Erturk and Inman [8] analyzed the frequency response, the voltage, current, and power output generated by the vibration of the fixed-free Euler-Bernoulli beam with piezoelectric patch. Rajora et al [9] used Hooke's Law to calculate the electrical energy conversion performance of piezoelectric patches and learned that piezoelectric patches have different electrical energy conversion benefits in different material thicknesses. Masana and Daqaq [10] applied axial force to a fixed-fixed Euler-Bernoulli beam to generate transversal vibration.…”

Enhancing Electrical Generation Efficiency through Parametrical Excitation and Slapping Force in Nonlinear Elastic Beams for Vibration Energy Harvesting

“…Compared to traditional methods, this approach can more directly provide power to electronic systems, laying the foundation for future wireless and microelectromechanical systems (MEMSs). Rajora et al [ 2 ] proposed an analytical method for estimating the output of the amplitude, voltage, and power generated by the vibration of a fixed–free Euler–Bernoulli beam. The validity of their approach was tested using engineering simulation software ANSYS12 and multiphysics simulation software COMSOL 4.3.…”

Investigation of Piezoelectric Energy Harvesting From Structural Vibration Induced by Rotating Machinery

“…Kim et al 29 presented a closed form solution for harvesting energy efficiency of piezoelectric vibration energy harvesting system with a case study composed of a cantilever piezoelectric harvester. In other respects, Rajora et al 30 inves-tigated vibration-based energy harvesting by using a simply supported beam with a bonded piezoelectric patch to the surface. Lu et al 31 focused on numerical investigation of piezoelectric energy harvesting from a pavement system.…”