Advertisement

Dynamic Behavior and Output Charge Analysis of a Bistable Clamped-Ends Energy Harvester

  • Masoud DerakhshaniEmail author
  • Thomas A. Berfield
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

Vibration energy harvesting systems are an excellent power source alternative to batteries or other green energy alternatives, given that many application environments feature vibration sources significant enough for power scavenging. The most important challenge faced by these types of energy harvesters is their general operating inefficiency when driven by the chaotic, low frequency vibration sources characteristic of most real-life scenarios. Prediction of power for these systems requires a detailed understanding of their performance under dynamic conditions. In this study, an analytical method is applied to dynamically analyze the output electrical charge of a piezoelectric-based bistable energy harvester under harmonic excitation. This system is made of a clamped-clamped buckled beam with attached piezo patches and a lump mass at the center. The bistability is created by a compressive load applied at the beam ends. In order to appropriately analyze the dynamic behavior of the structure, the beam is divided into two components in a way that the dynamic effect of the tip mass appears in the boundary conditions as a matching relation between two parts. First, natural frequencies and mode shapes of the system are found by theoretically solving the free undamped linear system. These obtained mode shapes are then used in a Galerkin approach to discretize the nonlinear equations of the buckled structure. By solving the nonlinear equations, Poincare’ plot and output electrical charge for a buckled case under three different exciting frequencies are investigated to analyze the performance of the bistable energy harvester.

Keywords

Vibration energy harvesting Nonlinear dynamics Piezoelectricity Output charge Bistability 

References

  1. 1.
    Kim, H.S., Kim, J.-H., Kim, J.: A review of piezoelectric energy harvesting based on vibration. Int. J. Prec. Eng. Manuf. 12(6), 1129–1141 (2011)CrossRefGoogle Scholar
  2. 2.
    Harne, R.L., Wang, K.W.: A review of the recent research on vibration energy harvesting via bistable systems. Smart Mater. Struct. 22, 023001 (2013)CrossRefGoogle Scholar
  3. 3.
    Cottone, F., Gammaitoni, L., Vocca, H., Ferrari, M., Ferrari, V.: Piezoelectric buckled beams for random vibration energy harvesting. Smart Mater. Struct. 21, 035021 (2012)CrossRefGoogle Scholar
  4. 4.
    Vocca, H., Cottone, F., Neri, I., Gammaitoni, L.: A comparison between nonlinear cantilever and buckled beam for energy harvesting. Eur. Phys. J. Special Topics. 222, 1699–1705 (2013)CrossRefGoogle Scholar
  5. 5.
    Cottone, F., et al.: Bistable electromagnetic generator based on buckled beams for vibration energy harvesting. J. Intell. Mater. Syst. Struct. 25(12), 1484–1495 (2014)CrossRefGoogle Scholar
  6. 6.
    Derakhshani, M., Allgeier, B.E., Berfield, T.A.: Study on the fabrication process of a MEMS bistable energy harvester based on coupled component structures. In: Grady, M., et al. (eds.) Mechanics of Biological Systems & Micro-and Nanomechanics, vol. 4, pp. 75–79. Springer, Cham (2019)CrossRefGoogle Scholar
  7. 7.
    Pellegrini, S.P., et al.: Bistable vibration energy harvesters: a review. J. Intell. Mater. Syst. Struct. 24(11), 1303–1312 (2013)CrossRefGoogle Scholar
  8. 8.
    Navabi, M., Mirzaei, H.: θ-D based nonlinear tracking control of quadcopter. In 2016 4th International Conference on Robotics and Mechatronics (ICROM). IEEE (2016)Google Scholar
  9. 9.
    Samuel, C., Stanton, C.C.M., Mann, B.P.: Nonlinear dynamics for broadband energy harvesting: Investigation of a bistable piezoelectric inertial generator. Physica D. 239, 640–653 (2010)CrossRefGoogle Scholar
  10. 10.
    Emam, S.A., Nayfeh, A.H.: Nonlinear responses of buckled beams to subharmonic-resonance excitations. Nonlinear Dyn. 35(2), 105–122 (2004)CrossRefGoogle Scholar
  11. 11.
    Ghayesh, M.H., Amabili, M., Farokhi, H.: Global dynamics of an axially moving buckled beam. J. Vib. Control. 21(1), 195–208 (2015)CrossRefGoogle Scholar
  12. 12.
    Emam, S.A., Nayfeh, A.H.: On the nonlinear dynamics of a buckled beam subjected to a primary-resonance excitation. Nonlinear Dyn. 35, 1–17 (2004)CrossRefGoogle Scholar
  13. 13.
    Derakhshani, M., Berfield, T., Murphy, K.D.: Dynamic analysis of a bi-stable buckled structure for vibration energy harvester. In: Dynamic Behavior of Materials, vol. 1, pp. 199–208. Springer, Cham (2018)Google Scholar
  14. 14.
    Butt, Z., et al.: Generation of electrical energy using lead zirconate titanate (PZT-5A) piezoelectric material: analytical, numerical and experimental verifications. J. Mech. Sci. Technol. 30(8), 3553–3558 (2016)CrossRefGoogle Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 2020

Authors and Affiliations

  1. 1.University of LouisvilleLouisvilleUSA

Personalised recommendations