IMPACTING UNDER HARMONIC EXCITATION

The steady state response of a one dimensional linear oscillator impacting under harmonic excitation on to rigid obstructions with a coefficient of velocity restitution is investigated. Numerical experiments are discussed and an expression of the steady state velocity for one sided impacting is derived. The variation of impacting velocity with excitation frequency for symmetric two sided impacting steady states is analyzed. It is shown that steady states cannot exist below a minimum frequency whilst for frequencies in the band for which the steady state amplitude exceeds the clearance, a unique steady state can exist. For greater frequencies, two possible steady states exist for a given excitation frequency. © 1979.