J4  2014, Vol. 48 Issue (2): 321-326    DOI: 10.3785/j.issn.1008-973X.2014.02.020
 光学工程、工程力学

Stochastic jump and bifurcation of a pantograph carbon strip suspension system
HUAN Rong-hua, SONG Ya-qing, ZHU Wei-qiu
Institute of Applied Mechanics, Zhejiang University, Hangzhou 310027, China
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Abstract:

This article is concerned with the stochastic dynamics of the suspension subsystem of DSA X pantograph considering nonlinearity of stiffness. Firstly, a nonlinear dynamic model of the suspension subsystem was developed where the nonlinear stiffness was obtained according to physical parameter values of pantograph. The contact force between the pantograph and the overhead contact line excites the subsystem, which had been modeled as a combination of harmonic and random excitation. The nonlinear stochastic differential equation describing the dynamic behavior of the suspension subsystem was formulated. Then, by using the stochastic averaging method, the statistics of the stationary responses of the suspension subsystem was obtained, and the effect of the intensity of nonlinearity on the stationary response was also studied. Numerical results show that the stochastic jump of the stationary response of the carbon strip and its bifurcation as the nonlinearity intensity’s change occurs.

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