Power flow characteristics of coupled linear and nonlinear oscillators with irrational nonlinear stiffness

Abstract

This paper investigates power flow characteristics of an archetype linear-nonlinear interaction system with irrational nonlinearity to explore vibrational energy transmission and dissipation mechanism. The nonlinear dynamic coupling system consists of a damped nonlinear archetype oscillator and a damped linear oscillator subjected to a harmonic excitation. The power flow dissipation mechanism of the system is analysed theoretically and numerically under different parameter conditions. The effect of the smoothness parameter on power flow characteristics of the nonlinear coupling system are analysed and compared to that of the linear system.The theoretical and numerical analysis provide a new insight into the understanding of nonlinear dynamics and also demonstrate the significant benefits of the nonlinear coupling system for vibratory energy dissipation to control vibrations and energy harvesting in engineerin