Abstract
Summary In this paper, the fundamental problems in the calculation of transverse vibration of train-bridge and train-track time-varying system (hereinafter referred to as the system) are expounded. That is, (1) Proper solution to transverse vibration of the system cannot be obtained by establishing separate transverse vibration equation groups for the car and the bridge (or track); (2) The exciting source of transverse vibration of the system has not been made definite; (3) It is difficult to carry out the random analysis of vibration of the time varying system as the theory of the random vibration analysis for the time varying system has not been established. Our thinking and methods to solve these problems are introduced. On the above-mentioned basis, the theory of random energy analysis for train derailment is presented. The main contents of this theory are as follows: method of random energy analysis of transverse vibration of the system; geometric criterion of derailment; mechanism of derailment caused by the combined track irregularity and energy increment criterion for derailment evaluation; calculation of the entire derailing process; method of improvement of track parameters for preventing straight line speed-raise freight trains from derailment and of the calculation of the safety coefficient against derailment. This theory is used to calculate a case of freight train derailment, which corresponds to an actually occurred accident. A train in another derailment test is judged to be not derailed and its maximum vibration responses are calculated. The field test results are well responded.
Published Version
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