Research on energy harvesting of bi-stable magnetoelastic piezoelectric cantilever beam

Abstract This article designs and explores an innovative magneto elastic bistable piezoelectric cantilever beam power generation system, which cleverly integrates a magnetic repulsion mechanism to enhance energy harvesting efficiency and deeply considers the geometric nonlinear effects of the structure to further optimize performance. Specifically, the system achieves efficient capture and conversion of energy under specific conditions by constructing a bistable piezoelectric energy harvester (BPEH) based on magnetic repulsion. At the theoretical analysis level, this article accurately derives a strain relationship model that includes geometric nonlinear effects. The step is crucial for accurately describing the behavior of cantilever beams in complex dynamic environments. Furthermore, with the help of the generalized Hamiltonian principle and Lagrange equation, this paper successfully established the dynamic equation system of the BPEH, laying a solid theoretical foundation for subsequent numerical analysis and optimization design. In the numerical research section, this article systematically explores the influence of external force on the motion characteristics and energy harvesting performance of BPEH oscillators. The research results show that by adjusting to the optimal excitation amplitude, the energy conversion efficiency of BPEH has been significantly improved, verifying the effectiveness and superiority of the system design. In addition, this article also deeply discusses the complex impact of geometric nonlinearity on the performance of BPEH oscillators: Under weak geometric nonlinearity conditions, the oscillator exhibits a stable trap motion mode, which is conducive to stable energy harvesting. When geometric nonlinearity is enhanced to a certain extent, the system may exhibit large-scale chaotic motion characteristics, which poses challenges to the stability and efficiency of energy harvesting.