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The present analysis focus on the dynamics of the classic parametric pendulum and its different types of motion when it is linked to a direct-current (DC) generator. In the sequence a mathematical model is introduced through lagrangian mechanics where the analysis considers a DC generator coupled with a pendulum. An important motivation for the study of pendular systems is the energy harvesting from sea waves. The pendulum vibrated on its support in the vertical direction may rotate or oscillate and generate electric energy when it is linked to a DC generator. The dynamics of the pendulum is affected by the interaction forces caused by the electric generator. Therefore, a whole dynamical analysis is important for this electromechanical system. The types of motion include oscillations, rotations, fixed point, and chaos. Bifurcation diagrams demonstrate the regions of stable and unstable behavior for the pendulum. Poincare sections, phase portraits and time histories for the pendulum angle are useful in identifying the kinds of motion.

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Pendular Nonlinear Dynamics and Energy Harvesting

  • 会议论文

  • 发表日期：

    2025年

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  • Rafael Henrique Avanço,
  • Clivaldo Oliveira,
  • Rodrigo Borges Santos,
  • Sanderson Conceição,
  • Mauricio Ribeiro,
  • José Manoel Balthazar,
  • Eduardo Abuhamad Petrocino,
  • Jeferson Lima,
  • Angelo Tusset,
  • Jorge Luis Palacios Felix,
  • Marcelo Suetake,
  • Raibel Arias

摘要

The present analysis focus on the dynamics of the classic parametric pendulum and its different types of motion when it is linked to a direct-current (DC) generator. In the sequence a mathematical model is introduced through lagrangian mechanics where the analysis considers a DC generator coupled with a pendulum. An important motivation for the study of pendular systems is the energy harvesting from sea waves. The pendulum vibrated on its support in the vertical direction may rotate or oscillate and generate electric energy when it is linked to a DC generator. The dynamics of the pendulum is affected by the interaction forces caused by the electric generator. Therefore, a whole dynamical analysis is important for this electromechanical system. The types of motion include oscillations, rotations, fixed point, and chaos. Bifurcation diagrams demonstrate the regions of stable and unstable behavior for the pendulum. Poincare sections, phase portraits and time histories for the pendulum angle are useful in identifying the kinds of motion.