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physics.class-ph2025
New approach to approximate analytical solutions of a harmonic oscillator with weak to moderate nonlinear damping: Part I
Karlo Lelas, Robert Pezer
We introduce a new approach to deriving approximate analytical solutions of a harmonic oscillator damped by purely nonlinear, or combinations of linear and nonlinear damping forces…
physics.class-ph2025
The amplitude decay of a harmonic oscillator damped simultaneously by weak linear and nonlinear damping forces
Karlo Lelas, Robert Pezer
We derive approximate expressions for the amplitude decay of harmonic oscillations weakly damped by the simultaneous action of three different damping forces: force of constant mag…
physics.class-ph2025
Driven damped harmonic oscillator revisited: energy resonance
Karlo Lelas, Nikola Poljak
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 o…