Subharmonic response of a quasi-isochronous vibroimpact system to a randomly disordered periodic excitation
A quasi-isochronous vibroimpact system is considered, i.e. a linear system with a rigid one-sided barrier, which is slightly offset from the system's static equilibrium position. The system is excited by a sinusoidal force with disorder, or random phase modulation. The mean excitation frequency corresponds to a simple or subharmonic resonance, i.e. the value of its ratio to the natural frequency of the system without a barrier is close to some even integer. We study the influence of white-noise fluctuations of the instantaneous excitation frequency around its mean on the response. The analysis is based on a special Zhuravlev transformation, which reduces the system to one without impacts, or velocity jumps, thereby permitting the application of asymptotic averaging over the period for slowly varying inphase and quadrature response.
white-noise fluctuations of excitation frequency
scientific article; zbMATH DE number 1283750