Abstract
A 2-DOF (two-degree-of-freedom) oscillator with an one-sided rigid obstacle in the presence of dry friction and external excitations is presented. Based on friction and the unilateral rigid barrier, the different motions for the masses, i.e., free-flight or nonstick, stick, stuck and impact motions, are discussed, and the different domains are obtained by partitioning the phase spaces. Then the analytical conditions are given for the switching of the above mentioned four motion states. By defining mapping structures and different generic mappings, the periodic motions of this system are developed. Numerical simulations are used to study the grazing, stick, nonstick, stuck and specified periodic motions. The investigation on such system is of great significance to the optimization design of engineering systems with one-sided rigid obstacle.
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