Modelling and Optimization of Orientated Beam with Tip Mass for Vibration Energy Harvesting using Piezoelectric Patches

Jump To References Section


  • Assistant Professor, Department of Mechanical Engineering, RNSIT, VTU, Bengaluru, Karnataka ,IN
  • Professor, Design Lead, Department of Mechanical Engineering , PES University, Bengaluru, Karnataka ,IN



Orientation, Fem, Vibration, Energy harvesting, Piezoelectric.


Energy harvesting is extracting energy from ambient sources. Vibration energy harvesting area have received attention of many researchers to power wireless sensors and low-power electronic devices from smart materials. In literature, authors have focused on analytical and finite element models of cantilever beam with tip mass. The paper focuses on the novel numerical technique for orientated cantilever beam bounded with piezoelectric patches and mounted with tip mass using the direct method with non-orthonormalisation to derive the frequency response function (FRF) for voltage, current and power output. MatLab programme is developed considering the Euler Bernoulli beam assumptions, constitutive equations of piezoelectric material and Hamilton’s principle. The MatLab programme is validated with the previous work on orthonormalisation electro-mechanical finite element for unimorph beam and good agreement is obtained. The dynamic characteristics of considered model is presented and optimized parameters are obtained.


Download data is not yet available.


Metrics Loading ...




How to Cite

Wali, L. B., & Chandrasekhara, C. V. (2023). Modelling and Optimization of Orientated Beam with Tip Mass for Vibration Energy Harvesting using Piezoelectric Patches. Journal of Mines, Metals and Fuels, 70(10A), 374–379.



Shad Roundy, Paul K. Wright, Jan Rabaey A study of low level vibrations as a power source for wireless sensor nodes, Computer Communications 2003. DOI:

Henry A. Sodano and Daniel J. Inman A Review of Power Harvesting from Vibration using Piezoelectric Materials, The Shock and Vibration Digest. 2004; 36(3), 197-205. DOI:

A.Erturk , D. J. Inman A Distributed Parameter Electromechanical Model for Cantilevered Piezoelectric Energy Harvesters, Journal of Vibration and Acoustics 2008 DOI:

Eziwarman, Mikail F. Lumentut. Comparative Numerical Studies of Electromechanical Finite Element Vibration Power Harvester Approaches of a Piezoelectric Unimorph. IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM) Besançon, France 2014 DOI:

Mikail F.Lumentut, Ian M.Howard Parametric designbased modal damped vibrational piezoelectric energy harvesters with arbitrary proof mass offset: Numerical and analytical validations, Mechanical Systems and Signal Processing 2016, 68-69 562-586 DOI:

Iman Izadgoshasb Optimizing orientation of piezoelectric cantilever beam for harvesting energy from human walking, Energy Conversion and Management 2018 DOI:

Wei-Jiun Su Analysis of a Cantilevered Piezoelectric Energy Harvester in Different Orientations for Rotational Motion, Sensors 2020 MDPI

Iman Izadgoshasb Piezoelectric Energy Harvesting towards Self-Powered Internet of Things (IoT) Sensorsin Smart Cities,Sensors 2021 MDPI DOI:

Jiang Ding A piezoelectric energy harvester usingan arc-shaped piezoelectric cantilever beam array, Microsystem Technologies 2022 DOI:

Domenico Tommasino Vibration Energy Harvesting by Means of Piezoelectric Patches: Application to Aircrafts, Sensors 2022 MDPI DOI: