New Approach for the Analysis of Damped Vibrations of Fractional Oscillators

摘要: The dynamic behavior of linear and nonlinear mechanical oscillators with constitutive equations involving fractional derivatives defined as a power the operator conventional time-derivative is considered. Such definition derivative enables one to analyse approximately vibratory regimes oscillator without considering drift its position equilibrium. assumption small terms allows use method multiple time scales whereby comparative analysis solutions obtained for different orders low-level elastic possible be carried out. interrelationship parameter (order operator) nonlinearity manifests itself in full measure when term cubic entering oscillator's equation coincide.