Subharmonic response of a single-barrier vibroimpact system to a narrow-band random excitation

Subharmonic response of single-degree-of-freedom linear vibroimpact system to narrow-band random excitation

“…(2) may be more appropriate for the basic narrow-band random excitation rather than the one used in Ref. [15]. From Eq.…”

“…W (t) is the unit white noise with the autocorrelation function R W (τ ) = 2πδ(τ ), and δ is the Dirac delt function. The response of the system (1) is discussed in detail by Dimentberg et al [15] when ξ(t) is a sinusoidal force with the disorder as follows:…”

“…However, as pointed by Dimentberg et al, for certain applications, the model of the filtered Gaussian white noise may be more appropriate for the basic narrow-band random excitation rather than the one used in Ref. [15].…”

“…In Ref. [15], Dimentberg et al discussed the response of a linear impact system with a rigid one-sided barrier under a special kind of narrow-band random excitations -the sinusoidal force with the disorder or random phase modulation in detail. However, as pointed by Dimentberg et al, for certain applications, the model of the filtered Gaussian white noise may be more appropriate for the basic narrow-band random excitation rather than the one used in Ref.…”

“…Most studies focused on the responses of the linear impact oscillator (here, "linear" means that the differential equation of motion between the impacts is linear) under wild-band random excitations. Few focused on the responses of the impact oscillator under narrow-band random excitations [15] . In Ref.…”