Forced Coupled Duffing Oscillators with Nonlinear Damping: Resonance and Antiresonance

TL;DR

This paper explores how nonlinear damping affects resonance and antiresonance in forced coupled Duffing oscillators, analyzing parameter influences on frequency response and stability, highlighting differences among damping mechanisms.

Contribution

It provides a detailed analysis of the effects of various nonlinear damping mechanisms on resonance and antiresonance in coupled Duffing oscillators, which is a novel focus.

Findings

Different damping mechanisms significantly alter resonance behavior.

Parameter variations influence stability and frequency response.

Distinct damping types produce contrasting antiresonance effects.

Abstract

In this work, we investigate resonance and antiresonance behaviour in forced coupled Duffing oscillators with nonlinear damping. Further, we will analyse the parameter dependence of the frequency response and stability. In the course of all the analysis, emphasis shall be on how different damping mechanisms contrast against each other.