Vertical dynamics of a pantograph carbon-strip suspension under stochastic contact-force excitation

Abstract

In electric trains, a pantograph is mounted on the roof of the train to collect power through contact with an overhead catenary wire. The carbon-strip suspension of a pantograph, along which contact with the catenary occurs, is subjected to harmonic and stochastic contact-force excitations. In this paper, vertical dynamics of the carbon-strip suspension is studied with an aim of improving the reliability and safety of running trains. A single-degree-of-freedom model of the carbon-strip suspension with nonlinear stiffness is developed using parameter values of the DSA X pantograph. Through stochastic averaging, a FokkerPlanck-Kolmogorov equation governing the stationary response of the carbon-strip suspension is set up. Based on the transition probability density of the stationary response, it is found that random jumps and bifurcations in the carbon-strip motion can occur. The possibility of motion bifurcations and the frequency of random jumps warrant consideration in advanced design of carbon-strip suspensions.

Katener-Pantograf Etkileşimi İçin Elektrikli Tren Uygulama Çalışması

“…If the phases of the waveforms formed in the anterior and posterior pantographs are the same, it is understood that the contact quality deteriorates because this further increases the vibration [26]. There are many studies in the literature that use different techniques such as bulk mass, finite elements, or smart methods to model pantograph-catenary systems [27][28][29][30][31][32]. Studies are investigating the variables of contact force and vibration control [33][34][35][36][37][38].…”

Stochastic bifurcations of nonlinear vibroimpact system with time delay and fractional derivative excited by Gaussian white noise

“…When dealing with nonlinear systems, due to the response of the nonlinear system is not a diffusion Markov process, the theory of diffusion Markov process can not be directly applied to solve the response problem. Zhu et al [39,40] proposed a stochastic averaging method for solving quasi-Hamiltonian systems. It is verified that the stochastic average method is a powerful method to deal with the above problem because of the advantage of approximating the original system by diffusive Markov process.…”

Stationary response of nonlinear Markovian jump system under wide-band random excitation

“…Considering that the response of the nonlinear system is not a diffusive Markov process, it is difficult to directly apply the theory of diffusive Markov process to solve the response problem. Recently, a stochastic averaging method [22][23][24][25][26][27] for quasi-Hamiltonian systems has been developed by Zhu and his co-workers. Due to the advantage of approximating the original system by diffusive Markov process, stochastic averaging method has been proved as a powerful technique to deal with the aforementioned difficult situations.…”