On the Dynamics Analysis of Fractional-Type Microresonator System
摘要
A fractional-order dynamic model for microresonator is analyzed in this paper. The model is transformed from the integer-order dynamic model by setting the second-order derivative in the integer-order dynamic model as fractional-order p1 and the first-order derivative as fractional-order p2 according to the definition of Caputo fractional-order derivative. The results of simulation show that it is efferent to predict the behavior of the fractional-order dynamic model using the rules from integer-order dynamics provided that the difference between the fractional-order and integer-order is in a small interval. Additionally, the variations of both p1 and p2 certainly cause changes in the motion state of microresonator, while the effect of p1 is more significant than that of p2.