DETERMINATION OF THE BALANCING MOMENT OF A CRANK-SLOTTED MECHANISM USING THE N.E. ZHUKOVSKY LEVER METHOD

This study presents the determination of the balancing force and balancing moment of a multiloop crank–slotted cotton-bush guiding mechanism used in the spindle drum of a cotton-harvesting machine. The analysis is performed using the N.E. Zhukovsky lever method, which enables the required balancing parameters to be obtained without directly determining reaction forces in the kinematic pairs or carrying out a complete force analysis of Assur groups. The investigated mechanism consists of a crank, sliding block, and rotating slotted link. Calculations are performed for a crank rotation angle of φ1=30∘, using previously determined kinematic parameters together with the inertia forces of the mechanism links and the experimentally established technological resistance force. The velocity diagram is rotated by 90∘ and treated as the Zhukovsky lever, after which the acting forces and inertia moment are transferred to the corresponding points. The balancing force is obtained from the moment-equilibrium equation of the transformed velocity diagram. For the considered mechanism position, the calculated balancing force is approximately 59.74 N, corresponding to a balancing moment of approximately 8.72 N·m. The proposed procedure provides a relatively simple and effective approach for evaluating the dynamic loading of the mechanism and can be applied to other crank positions to determine the variation of balancing force and moment throughout the operating cycle.

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