Abstract
A nonlinear mechanical system with time delay shows noise and chatter vibration. A long-time delay might destroy the system. Therefore, it is important to analyze the nonlinear system with time delay. However, the nonlinear system with time delay is described by a differential-difference equation which is difficult to solve. In this paper, we deal with the forced, self-excited vibration of a one-degree-of-freedom system with time delay in the nonlinear restoring force term, apply an averaging method for a functional differential equation to the system, and obtain the stability condition of self-exited vibration.
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