Abstract
The steady state forced response of a system with clearance subject to commensurate parametric and external forcing citation is investigated analytically by considering a mechanical oscillator with time-varying stiffness and a dead zone type clearance non-linearity. A generalized multiple term harmonic balance procedure is utilized to find the period- η (η T) solutions with η ≥1. Interactions between periodically time-varying stiffness and forcing functions are characterized in the primary resonance regimes where solutions are mostly of the 1 Ttype. Closed form expressions for impact criteria are derived for 1 Tsolutions where possible. The effects of system parameters on η Tsubharmonic resonances are examined and experimental results are included which conclusively demonstrate the existence of subharmonic resonances in geared systems.
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