Dynamic Interaction of Train-Bridge Systems in High-Speed Railways by He Xia Nan Zhang & Weiwei Guo

Author:He Xia, Nan Zhang & Weiwei Guo
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(5.44)

(5.45)

(5.46)

(5.47)

(5.48)

where η k is sign function; η 1 = η 3 = 1 for the wheel-sets at the front of the bogie; η 2 = η 4 = −1 for the wheel-sets at the rear of the bogie.

For the kth wheel-set connected to the jth bogie, the motion equations with respect to the three DOFs of lateral swing y, vertical floating z, and rolling θ are expressed as

(5.49)

(5.50)

(5.51)

In Eq. (5.36), F e is the load vector of vehicle element. According to the wheel-rail interaction model adopted, the excitation to the vehicle element consists of two parts:(1)The y-direction forces from wheel-sets w1 ~ w4 determined by the simplified Kalker Creep Theory, the excitation of this part is expressed as the right side vector of the equation, because the element of the DOF where the right side vector (F e) of Eq. (5.36) corresponds to the direction of wheel-set is not zero.

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