Analysis of tristable energy harvesters under random excitations

A. Kumar*, Shaikh Faruque Ali, A. Arockiarajan

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This manuscript analyzes the performance of a tristable vibration energy harvester under Gaussian white noise excitation. Broadband vibration energy harvesting has attracted significant research attention and is targeted toward obtaining large power output over a wide range of frequencies. Nonlinearity can be introduced into vibration energy harvesting systems through multi-stability. In cantilever-type vibration energy harvesters, multi-stability could be achieved by the introduction of magnetic interactions. When two external magnets are used, the harvester can have up to three stable static equilibrium positions. The harvester with two stable states has been explored widely, both theoretically and experimentally. Recently, the harvester with three stable states is shown to perform better than its bistable counterpart in the presence of a linearly increasing harmonic sweep excitation. Ambient vibrations are random in nature, and the performance of tristable energy harvesters under such excitations needs to be studied. To begin with, we study the performance of tristable energy harvesters under Gaussian white noise excitation through numerical simulations. The simulations show that beyond a certain critical amplitude of excitation, the harvesters undergo inter-well oscillations and harvest more power. This implies that if the variance of the random ambient excitation is known, then the harvester could be optimized so that the mean harvested power is maximized.

Original languageEnglish
Title of host publicationAdvances in Rotor Dynamics, Control, and Structural Health Monitoring - Select Proceedings of ICOVP 2017
EditorsSubashisa Dutta, Esin Inan, Santosha Kumar Dwivedy
Number of pages12
ISBN (Print)9789811556920
Publication statusPublished - 2020
Event13th International Conference on Vibration Problems, ICOVP 2017 - Istanbul, Turkey
Duration: 29 Nov 20172 Dec 2017

Publication series

NameLecture Notes in Mechanical Engineering
ISSN (Print)2195-4356
ISSN (Electronic)2195-4364


Conference13th International Conference on Vibration Problems, ICOVP 2017

Bibliographical note

Publisher Copyright:
© Springer Nature Singapore Pte Ltd 2020.


  • Gaussian white noise and tristable systems
  • Random vibration analysis
  • Vibration energy harvesting

ASJC Scopus subject areas

  • Automotive Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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