an Efficient Iterative Grid Selection Strategy for Time-Mapped Harmonic Balance Method

In this paper, a new iterative grid selection strategy for the Time-Mapped Harmonic Balance (TMHB) method is presented. This strategy is referred to the adaptive grid methods, which tracks the rapid transitions and constructs a smooth time-map function. The theoretical analysis and simulation results of this grid selection strategy are presented. The results demonstrate that this new strategy improves the numerical stability of the TMHB method and achieves accurate results based on the improved TMHB method.