Energy Harvesting Electrical from Nano Beam with Layer Piezoelectric under Random Vibration

Document Type : Persian


1 MSc Student, Department of Engineering Shahid Chamran University

2 MSc student, Department of Engineering, Shahid Chamran University

3 Phd student, Department of Mechanical Engineering, Yazd University

4 Director of the Department of Mechanical Islamic Azad University Omidiyeh


In the present paper, electrical energy harvesting from random vibrations of an Euler-Bernoulli nano-beam with two piezoelectric layers is investigated. The beam is composed of an aluminum layer together with two piezoelectric ceramic layers (PZT 5A) serving as energy harvesting sensors. In the proposed method, the equations governing the bimorph nano-beam will be analytically derived using classical beam theory with corresponding modification coefficients to the nano-structure applied. Then, the derived system of equations will be solved following Kantorovich method. Assumed boundary conditions for the nano-beam are as follows: a clamped end with the mass concentrated at the free end of the beam. Further, the input activation function of the system for energy harvesting was taken as being random. Since the objective of this research is to investigate the amount of harvested energy, the section on the results provides associated voltage and maximum output power curves with the bimorph nano-beam under random activation and input white noise, while also presenting the effects of characteristics and scale factor of the nano-particles on the amount of harvested energy.


[1] Kim H. Kim J.H. Kim J. A review of piezoelectric energy harvesting based on vibration, International Journal       of Precision Engineering and Manufacturing, Vol.12, 2011, pp.1129-1141.
 [2] Zamanian M. Rezaei H. Hadilu M, A comprehensive analysis on the discretization method of the equation of motion in piezoelectrically actuated micro beams, Smart Structures and Systems, Vol. 16, 2015, pp.891- 918,
 [3] Ke L.L, Wang Y.S, Thermoelectric-mechanical vibration of piezoelectric Nano beams based on the nonlocal theory, Smart Materials and Structures,Vol. 21, 2012,
 [4] Zhang Y. Cai S.CS. Deng L. Piezoelectric-based energy harvesting in bridge systems, Intelligent Material Systems and Structures, Vol. 25, 2014, pp.1414-1428.
 [5] Dai X.Z. Wen Y.M, Li P, Yang J, Gao G.Y, Modeling, characterization and fabrication of vibration energy harvester using Terfenol-D/PZT/Terfenol-D composite transducer, Sensors and Actuators, Sensors and Actuators A: Physical volume 156, 2009, pp.350-358
 [6] Eggborn T. Analytical models to predict power harvesting with piezoelectric materials, Dissertação de Mestrado - Virginia Polytechnic Institute and State University, 2003
 [7] Erturk A. and Inman D.J. A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters, Journal of Vibration and Acoustics, volume130 2008, page 041002.
 [8] Fakhzan M.N, Muthalif Asan G.A, Harvesting vibration energy using piezoelectric material: Modeling, simulation and experimental verifications, Mechatronics, volume 23, 2013, pp 61-6
  [9] Ottman G.K, Hofmann H.F, Bhatt A.C, Lesieutre G.A, Adaptive piezoelectric energy harvesting circuit for wireless remote power supply, IEEE Transactions on Power Electronics volume 17,2002, pages 669 to 676.
 [10] Azizi S, Ghazavi M. R, Rezazadeh G. Ahmadian I, Cetinkaya C, Tuning the primary resonances of a micro resonator using piezoelectric actuation, Nonlinear Dynamics,Vol. 76, 2014, pp. 839-852,
  [11]Erturk A, Inman DJ. An experimentallyvalidated bimorph cantilever model for piezoelectric energy harvesting from base excitations. Smart Mater Struct 2009;18:025009