Searching Algorithm for the Central Anchor Position of the High Speed Railway on Long Straight Line with a large slope

In view of the inaccuracy of existing methods for calculating the central anchor position and the lack of calculation method for the central anchor clamp position on long straight line section with a large slope, the current work introduces the slope of a line and uses the measured length of a span to calculate the tension difference of a wire caused by the deviation of a dropper and a positioning device in the line direction. According to the obtained tension difference and downhill component force caused by the gravity of the wire, the position of the central anchor is calculated. Then, according to the position of the central anchor knot, the tension difference of the dropper offset, the tension difference of the positioning device offset and downhill component force caused by the gravity of the wire, the position of the central anchor knot clamp is calculated. The maximum relative error of the position of the central anchor rope clamp obtained by this method is 1.401%, thus verifying the effectiveness of the proposed method.