Piezoelectric energy harvesting and synchronization of excited and modified Huygens’s pendulums

Author:

Zemtchou Francis Rolphe12ORCID,Mabekou Takam Jeanne Sandrine12ORCID,Louodop Fotso Patrick Hervé2345,Talla Pierre Kisito1

Affiliation:

1. Research and Modelisation Unit of Mechanical and Physical Systems, University of Dschang 1 , P. O. Box 67, Dschang, Cameroon

2. MoCLiS Research Group 2 , Dschang, Cameroon

3. Research Unit Condensed Matter, Electronics and Signal Processing, University of Dschang 3 , P. O. Box 67, Dschang, Cameroon

4. ICTP South American Institute for Fundamental Research, São Paulo State University (UNESP) 4 , São Paulo, Brazil

5. Instituto de Física Teórica 5 , 01140-070 São Paulo, Brazil

Abstract

We consider a model of modified Huygens pendulums in order to be able to study the dynamics of such a system and carry out piezoelectric energy harvesting and the effects of phenomena encountered on this energy harvesting. The modifications made to the system here are the use of compound pendulums, a parametric force, and the addition of a piezoelectric transducer for energy harvesting. Thanks to the Lagrangian formalism, the governing equations were established and the numerical resolution was made using the fourth-order Runge–Kutta algorithm. We observed the presence of several types of synchronization (in-phase, anti-phase, quadrature-phase) and the existence of periodic, multi-periodic, or chaotic dynamics. Also, synchronization plays an important role in energy harvesting, in particular, in-phase synchronization, which promises much better performance than anti-phase synchronization. The effects of system parameters (amplitude and frequency of parametric force, stiffness coefficient, electromechanical coupling coefficient, etc.) are also studied on synchronization and energy harvesting. These results have applications in the manufacture of sensors and actuators, the power supply of electronic devices, and the manufacture of autonomous devices.

Funder

ICTP South American Institute for Fundamental Research

Fundação de Amparo à Pesquisa do Estado de São Paulo

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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