Forced Harmonic Vibration of a Duffing Oscillator with Linear Viscous Damping

Kalmár-Nagy, T [Kalmár-Nagy, Tamás (Áramlástan, Elmél...), szerző] Áramlástan Tanszék (BME / GPK); Balachandran, B

Angol nyelvű Tudományos Könyvfejezet (Könyvrészlet)
    Forced oscillations of a damped, Duffing oscillator are explored in this chapter. For weak nonlinearities and weak damping, a perturbation method is used to obtain an analytical approximation for the primary resonance response. In order to study the stability of periodic responses of the forced Duffing oscillator, local stability analysis is carried out on the equations describing the slow time-scale evolution. In addition, secondary resonance corresponding to strong (hard) excitation is also discussed. The combination of analytical and numerical investigations presented in this chapter is used to illustrate the dramatic jump behaviour and the rich variety of nonlinear phenomena possible in this system.
    Hivatkozás stílusok: IEEEACMAPAChicagoHarvardCSLMásolásNyomtatás
    2021-10-26 06:52