Mechanics of Train Movement:
Essential driving mechanism of an electric locomotive is shown in fig. The armature of the driving motor has a pinion diameter d’ attached to it. The tractive effort at the edge of the pinion is transferred to the driving wheel by means of a gear wheel.
Tractive effort transferred tot the driving is given by the expression.
F = = η f (d/d0 = η 2t/d) = ηt (2/d) (d/d) = ηt 2y/d
Where t is the torque exerted in n-m, by the driving motor, d is the diameter of gear wheel in metres. D is the diameter of driving wheel in metres, η is the transmission efficiency and γ is the gear ratio and is equal to d/d’.
For obtaining train motion without slipping tractive effort f should be less than or at the most equal to µw where µ the coefficient of adhesion between the wheel is and the track and w is the weight of the train on the driving axles (called the adhesive weight).
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