Abstract: Quasi-periodic motions can be numerically found in piecewise-linear systems, however, their characteristics have not been well understood. To illustrate this, an incremental harmonic balance (IHB) method with two timescales ...

Abstract: Periodic and period-doubling vibrations in a gear transmission system subjected to forced excitations with multipiecewise linear functions are investigated in this work by using the incremental harmonic balance (IHB) method. ...