Influence of the Recovery Coefficient and Noise Intensity on the Vibro-impact System Under the Noise Excitation
The difference between the vibro-impact system and continuous system is that the velocity will change suddenly when the impact occurs,that is,the system has discontinuity on the impact plane.As a result,it is difficult to solve the probability density function of such systems directly.In this paper,based on the Ivanov non-smooth transform,the vibro-impact system is transformed into a continuous system.Then,the phase diagram of the vibro-im-pact system is simulated to visually show the non-smoothness on the impact surface.Furthermore,we study the phase diagram of the system with Ivanov non-smooth transformation under different recovery coefficients.It is found that even when the recovery coefficient is much less than 1,the fitting degree of the system solution is still very high af-ter the transformation,which means the Ivanov non-smooth transformation has excellent characteristics.On this basis,the path integration method combined with Ivanov non-smooth transformation is used to analyze the probability densi-ty function of the vibro-impact system under the different impact recovery coefficient and noise intensity.Finally,Monte Carlo algorithm is used to verify the correctness of the proposed method.
vibro-impact systempath integration methodrecovery coefficientprobability density function
万方数据
维普
