Nonlinear power flow analysis of the Duffing oscillator
The Duffing oscillator is investigated from a perspective of vibrational power flows. Analytical/numerical approaches are employed to address the essentially nonlinear power generation and dissipation characteristics. The instantaneous/time-averaged power flow behaviour associated with periodic/chaotic responses is analysed. The effects of nonlinear phenomena such as sub-/super-harmonic resonances, non-uniqueness of solutions, bifurcation and chaos, on power flows are revealed. The influences of different parameters, averaging time as well as initial conditions on power flow variables are examined.
power flow analysis duffing oscillator chaos bifurcation nonlinear stiffness super-/sub-harmonic resonances