Abstract
Recently, Chinese engineers have proposed a simple way to find the vehicles’ critical speed, which is similar to the ramping method. In this article, through an example of vehicle of supercritical properties, it is proved that the new easier way is not scientifically justified and should not be used in engineering practice. In addition, the ramping way also yields inaccurate critical speed. Then one abnormal vibration phenomenon which appears on Beijing-Shanghai high-speed line is studied. The results demonstrate that it is car body hunting but not bogie hunting. Finally, through the computation and comparison of the lateral ride indices under different conditions, one stability problem about stochastic limit cycle banding is tentatively discussed.
Highlights
The railway vehicle stability problem has been investigated for years
Since the nonlinear bifurcation theory is utilized in solving nonlinear vehicle problems [1,2,3], the study on the calculation of critical speed gets a great deal of achievements [4, 5]
The last step when using ramping or the third method is that if the result does not converge to the trivial solution but its amplitude is smaller than 0.5 mm, they regard the speed as the critical one
Summary
The railway vehicle stability problem has been investigated for years. Since the nonlinear bifurcation theory is utilized in solving nonlinear vehicle problems [1,2,3], the study on the calculation of critical speed gets a great deal of achievements [4, 5]. Decreasing speed is a necessary step in both the ramping and the third method, as we know; we must determine the speed which makes the periodical solution converge to the trivial one That is another problem where we usually calculate the inaccurate critical speed especially for the supercritical Hopf bifurcation type. The last step when using ramping or the third method is that if the result does not converge to the trivial solution but its amplitude is smaller than 0.5 mm, they regard the speed as the critical one. To distinguish it from the critical speed Vcr in theory, we define the above-mentioned speed which is used in engineering as VE. The main work of this paper involves the critical speed of supercritical Hopf bifurcation of types CRH380B (Prototype of ICE3) and some stability problems
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