This article illustrates the modeling of a piezomagnetoelastic energy harvesting system. The generator consists of a piezoelectric cantilever with a magnetic tip mass. A second oppositely poled magnet is attached near the free end of the beam. Due to the nonlinear magnetic restoring force the system exhibits two symmetric stable equilibrium positions and one instable equilibrium position. The equation of motion is derived and it is shown that the system can be modeled as Duffing oscillator. An analytical approach is given to derive the Duffing parameters from the system parameters. The Duffing equation is solved for an oscillation around both equilibrium positions by using the harmonic balance method. For small orbit oscillations the equation of motion is solved by applying the fourth-order multiple scales method.
- Aerospace Division
Modeling of a Vibration-Based Piezomagnetoelastic Energy Harvesting System by Using the Duffing Equation
Westermann, H, Neubauer, M, & Wallaschek, J. "Modeling of a Vibration-Based Piezomagnetoelastic Energy Harvesting System by Using the Duffing Equation." Proceedings of the ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 2: Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Bio-Inspired Materials and Systems; Energy Harvesting. Stone Mountain, Georgia, USA. September 19–21, 2012. pp. 803-810. ASME. https://doi.org/10.1115/SMASIS2012-8027
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