Determination of the critical rotation speed of the saw cylinder of a linting machine

Abstract

The critical rotation speed of the saw cylinder of a linting machine is examined in the article in the form of a differential equation of the bent shaft. As a result, it was determined that at an increase in the distributed load from the seed roller from 0 to 42 kg/m, the critical rotation speed decreases from 335.784 to 277.761 rad/s (by 18.0%). With a known load of the seed roller m1 = 34.246 kg/m, at an increase in the bending stiffness of the saw blade shaft EJx from 100,000 to 1,000,000 N·m2, the critical rotation speed decreases from 287.285 to 90.847 rad/s (by 65.8%). It was established that the rotation speed of the saw cylinder of a linting machine is in the first subcritical zone (ωр≤0.75·ωкр – a stiff shaft) 76.44 rad/s≤ (251.84-208.32) rad/s.