Alternative Fourier-series approach to nonlinear oscillations
Francisco M. Fern\'andez
TL;DR
This paper introduces a new Fourier-series method that simplifies the analysis of nonlinear oscillations by avoiding complex nonlinear equations for Fourier coefficients, demonstrated through two examples.
Contribution
It presents an alternative approach to harmonic balance that simplifies nonlinear oscillation analysis by eliminating nonlinear equations for Fourier coefficients.
Findings
Simplifies nonlinear oscillation analysis
Avoids nonlinear equations for Fourier coefficients
Validated with two illustrative examples
Abstract
We propose an alternative approach that avoids the nonlinear equations for the Fourier coefficients that appear in the method of harmonic balance. We apply it to two simple illustrative examples.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsElasticity and Wave Propagation · Differential Equations and Numerical Methods · Numerical methods for differential equations