Reconstruction algorithm and its numerical simulation for drum load based on Rayleigh stochastic theory

In order to obtain the drum cutting load characteristic curve,the relationship between the axial resistance of picks and cutting load of drum was obtained by analyzing the force of pick and drum. The experiment was carried out that the coal was cut with multiple picks rotation cutting by using self-made laboratory equipment. And the picks force curve was obtained,the drum random load spectrum reconstruction model was established and the load reconstruction algorithm was presented. The drum cutting load was simulated by using the test data and the load spectrum of drum cutting load was obtained. The results show that the coal caving cycle is about 0. 04 s under the experimental condi- tions,and the drum cutting resistance is greater than the one of the picks at the same moment. The drum cutting resist- ance is related to the picks resistance peak,random distribution,pick position angle,coal caving cycles and cutter tooth position. Compared with the modified discrete regularization algorithm,the computational speed is improved by about 70 times,and the accuracy of the algorithm is better than that of the modified discrete regularization algorithm under less sample data. However,the reconstructed data only have the authenticity at the reconstruction point. Im- proved FFT algorithm that the amount of calculation is reduced to the 1 / 16 of original and the calculation speed is in- creased by about 27 times with the same accuracy. The fitting curve is smooth in the overall trend,showing crescent shape,consistent with the cutting thickness variation,the fitting goodness is 0. 94,the waveform characteristic is easy to identify,and the eigenvalue is easy to judge and extract. The results provide the basis for the correlation of the three- direction force and the drum cutting load,and provide an efficient and convenient algorithm for the drum cutting load reconstruction.