A simple frequency approximation formula for a class of nonlinear oscillators
Kevin Rapedius
TL;DR
This paper introduces a straightforward analytical formula to approximate the frequency of certain strongly nonlinear oscillators, providing quick and useful estimates for various systems.
Contribution
It presents a novel, simple frequency approximation formula specifically for a class of strongly nonlinear oscillators, enhancing quick estimation methods.
Findings
The formula accurately estimates frequencies in tested nonlinear systems.
The approach simplifies analysis of complex oscillators.
It offers a practical tool for engineers and scientists.
Abstract
An astonishingly simple analytical frequency approximation formula for a class of strongly nonlinear oscillators is derived and applied to various example systems yielding useful quick estimates.
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Taxonomy
TopicsFractional Differential Equations Solutions · Acoustic Wave Phenomena Research · Advanced Adaptive Filtering Techniques