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《Journal of Southwest Jiaotong University》 1991-01
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Nonlinear Numerical Methods for Train Dynamic Analysis

Zhai Wanming;Huang Zhihui Research Institute of Rail Vehicles  
It is difficult to integrate train dynamic equations because of their complicate nonlinear properties. For the sake of simplif- ying the integration process, thus convenient for engineering use, this paper presents two types of numerical integration methods: Newmark's explicit algorithm and its explicit-implicit predictor-corrector algorithm. When using these methods, the solution of high order algebraic linear equations is no longer necessary and the computational time is greatly reduced. So the methods can be applicable to analyse the problems of train dynamics on common micro-computers. In the paper, a criterion is also presented to determine the numerical stability of any integration method solving complex nonlinear problems from engineering practice. Using this criterion to train dynamics, a step-changed integration technique is established to enhance the calculating speed. The accuracy is tested by two nonlinear numerical examples, and by comparing calculated results with actual test data.
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