Abstract
To investigate a random friction system must cost a large of time on computer. So appropriate modeling of this system is of significance in practice. In this paper, an average model on simple random system with friction is firstly developed which is a discrete model by a two-dimensional mean Poincaré map. It is applied to describe random stick–slip motion. The numerical example shows that external noise can change the system behavior. That model is extended to a MDOF system only with a friction interface. The example of 3-DOF system exhibits the interesting behavior due to influence of external noise.
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