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Driven damped harmonic oscillator revisited: energy resonance

Classical Physics 2025-01-10 v1

Abstract

We derive the exact expression for the resonant frequency of the time-averaged steady-state energy and show that this frequency is excellently approximated by the arithmetic mean of the amplitude and velocity resonant frequencies. In addition, we argue that the frequency of the amplitude resonance can be regarded as the energy resonance frequency, since it provides the maximal peak values of instantaneous energy.

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Cite

@article{arxiv.2501.04797,
  title  = {Driven damped harmonic oscillator revisited: energy resonance},
  author = {Karlo Lelas and Nikola Poljak},
  journal= {arXiv preprint arXiv:2501.04797},
  year   = {2025}
}

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R2 v1 2026-06-28T21:00:21.434Z