Dynamic and energy analysis of frequency-controlled screw conveyor start
Keywords:
screw conveyor, frequency curves, frequency-controlled drive, evaluation indicatorsAbstract
In the study, the analysis of the frequency-controlled start-up mode of the screw conveyor is presented in the first approximation. A two-mass dynamic model was developed based on the kinematic scheme of the screw conveyor, which includes a motor, belt drive and screw. The angular coordinates of the reduced mass of the drive and the screw were taken as generalized coordinates. The movement of the dynamic model in time is described bt using a system of differential equations of the second order. They were obtained with d'Alembert's principle. Most modern hoisting and transporting machines, including screw conveyors, are driven by an asynchronous electric drive. Some screw conveyors are equipped with frequency inverters that have quite advanced tuning options. One of them is the curve of frequency of the motor voltage increasing from zero to the nominal value. Modern frequency inverters have four main types of curves: linear, S-shaped, U-shaped and double S-shaped. In this study, in the first approximation, their influence on the dynamic and energetic characteristics of the screw conveyor during its acceleration is investigated. For this, the solution of the equation of motion of the dynamic system was carried out and dependencies were established that describe the movement of individual elements of the conveyor in time. Analytical calculations of evaluation indicators of conveyor movement (RMS values of the driving torque, torque in the elastic-viscous connection, amplitude of oscillations and energy of oscillations of the dynamic system at the end of acceleration) were carried out and the corresponding plots were bulit. In addition, with the help of the corresponding 3D plots, the influence of the system parameters (the reduced stiffness coefficient of the drive, the reduced moment of inertia of the second part of the system and the reduced stiffness coefficient of the drive), as well as the duration acceleration of the studied system to the nominal value on the values of the evaluation indicators, was investigated.
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