Abstract:

During the whole life-cycle of the equipment support system, its support capability will experience large fluctuations. In order to seize preferably its support capability evolution trend, firstly, the differential dynamic equation that reflects the changing quantity of the support capability in unit time is established, and the catastrophe model of the equipment support system is deduced. By studying the potential function of each control areas generated by the bifurcation set of the catastrophe model, the distribution condition of the critical points is obtained, and then the area in which the integrated control parameter locates can be judged. According to the change trend of the control variables, the occurrence of the support capability mutation can be analyzed further, and the foundation can be laid to realize process control. Finally, corresponding examples demonstrate the effectiveness of the proposed method.