Harmonic Balance Analysis for the Oscillations of Magnetic Levitation

Abstract:

This paper investigates a design and analysis of a novel energy harvester that uses magnetic levitation to produce an oscillator with a tunable resonance. The governing equation of the system which could be derived based on the Newton’s second law is reduced to the form of a Duffing’s equation. The system steady-state amplitude frequency response relationship is analyzed by harmonic balance and numerical simulation, respectively. In the weakly nonlinear system, the curve of amplitude frequency response using harmonic balance method accords with the curve using numerical simulation;and in the strongly nonlinear system, the curve using harmonic balance basically accords with the curve using numerical simulation as well.

• Periodical: Applied Mechanics and Materials (Volumes 672-674)
• Pages: 1554-1557
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.672-674.1554
• Online since: October 2014
• Authors: Zu Yao Wang*
• Keywords: Harmonic Balance Analysis, Magnetic Levitation, Vibration-Based Energy Harvesting

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