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Based on the Bernoulli-Euler beam theory, a nonlinear model of a piezoelectric energy harvesting device considering simultaneous parametric and external excitations is proposed, accounting for the extension of the strain curvature, damping and nonlinear elastic foundation. After the system is discretized by means of Galerkin-Bubnov procedure, an explicit analytical solution is obtained using the Optimal Homotopy Asymptotic Method in the neighborhood of the primary resonance. Our approach supposed the presence of some convergence-control parameters which lead to a very accurate expression of the solution of nonlinear differential equations.

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Nonlinear Vibration of Piezoelectric Energy Harvester Under Mechanical Impact

  • 会议论文

  • 发表日期：

    2025年

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  • Nicolae Herisanu,
  • Bogdan Marinca,
  • Vasile Marinca

摘要

Based on the Bernoulli-Euler beam theory, a nonlinear model of a piezoelectric energy harvesting device considering simultaneous parametric and external excitations is proposed, accounting for the extension of the strain curvature, damping and nonlinear elastic foundation. After the system is discretized by means of Galerkin-Bubnov procedure, an explicit analytical solution is obtained using the Optimal Homotopy Asymptotic Method in the neighborhood of the primary resonance. Our approach supposed the presence of some convergence-control parameters which lead to a very accurate expression of the solution of nonlinear differential equations.