| In order to adapt to China’s economic development,it is necessary to improve the train transportation capacity,transportation speed and rapid development of rail transit.The increasing vibration problems in vehicle operation will deteriorate its operation quality and safety.Lateral vibration of rail vehicles is a key factor causing lateral force variation between wheel and rail,car body overturning and derailment.At the same time,the centrifugal acceleration exceeds the allowable value of passengers’ perception,which will lead to a decrease in ride comfort and will also aggravate the fatigue damage of vehicle parts and bogies.Therefore,this paper chooses to study the running stability of vehicles from the direction of lateral vibration,and uses theoretical analysis and computer simulation methods to analyze the lateral vibration dynamics of vehicles.This paper considers the improved equivalent mechanical model of the anti-snaking damper installed between the car body and the bogie to be introduced into the traditional vehicle transverse model to obtain a more realistic and accurate System improvement model with Maxwell anti-snaking damper.According to the theoretical analysis of the Lagrange equation,the 17-degree-of-freedom differential equation of the vehicle lateral vibration system is listed,and finally solved into the matrix multiplication form.It is convenient for MATLAB to calculate the natural frequency value of the vehicle transverse system vibration,which lays a foundation for the study of random vibration of the vehicle in the time domain and frequency domain.Furthermore,the random direction irregularity of the orbit is used as the simulation excitation,and the main displacement and acceleration response in the lateral vibration of the vehicle are calculated according to the random vibration theory.In the design of vehicle systems,the analysis of the natural frequency and vibration mode of the vehicle is particularly important,in order to ensure that the phenomenon of "resonance" occurs during the operation of the vehicle.The MATLAB language programming command is used to simulate and analyze the installation stiffness of the transverse damper of the second-line transverse damper,the anti-snaking damper and second suspension systems,resulting in the effect of the natural frequency.It provides a certain reference and basis for the selection of the installation stiffness of the damper in the vehicle system dynamics design.In the time domain of random vibration,the 17-degree-of-freedom differential equation of the vehicle lateral vibration system is programmed into the program by C language.The fourth-order Runge-Kutta method is used to calculate the displacement response of the main part of the transverse vibration system.The influence of different anti-snake damper parameters on vehicle time domain response is analyzed.It is found that the physical parameters of anti-snake damper have a great influence on the vehicle lateral vibration response.In the frequency domain of random vibration,the state equations compiled by MATLAB language are written as programs.Using the virtual excitation method in the frequency domain,the power spectral density values of the displacement and acceleration response of the main parts of the vehicle transverse vibration system are calculated under different vehicle speeds,suspension system parameters and physical parameters of the anti-snaking damper.The study found that the vehicle speed is the main factor affecting the front and rear bogie displacement and acceleration power spectral density values.As the vehicle speed increases,the peak of power spectral density shifts to the high frequency range with the increase of vehicle speed;the suspension system parameters have different effects on the power spectral density values in different frequency bands;the influence of the anti-snake damper parameters on the power spectral density value appears in the low frequency range of less than 12 Hz. |
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