Measurement Method for Concentrated Load on Catenary Messenger Wires
Relationship is explored between the wire shape and concentrated load of catenary messenger wires in static and vibrational states.The parabola method is used to determine the messenger wire shape in static state.By constructing the differential equation and using the Fourier transform,the messenger wire shape in vibrational state is calculated.Combined with the force analysis,the concentrated load formula of the messenger wire in static and vibrational states is deduced according to Newton's second law.After acquiring the displacement at the concentrated load in static and vibration states,the concentrated load is solved,and its measurement method is tested on the vibration measurement platform built in lab.The test results show that the percentage of absolute error in static state is 0.20％,and in vibrational state with main vibration frequencies of 1 Hz and 2 Hz it is within 0.50％.It is feasible to use machine vision to obtain the static position and vibration displacement data at the concentrated load,and thus realize the contactless measurement for the concentrated load of messenger wires.
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