Mathematical Model of the Dynamics of the Balancing Mechanism of the Weighing System of the Batcher

Abstract

AbstractHere we present an analysis of dynamic errors which occurs in mechanical systems of weighers, equipped by a quadrant balancing mechanism as a function of time, when the weighing system moves freely while materials are shocklessly loaded into the hopper. This article considers the mechanical system of dispensers, discussing technological features and disturbing effects on the dosing process. Our findings indicate significant oscillation of the batcher weighing system during the loading process, determining the ways of increasing the dosing accuracy and explaining the fundamentals of the arrow movement of the quadrant dial pointer while loading the hopper. The dynamics of the balancing mechanism of the weighing mechanical lever system of the batcher is based on the equation of free vibrations and the oscillatory motion of the dispenser weighing system is determined by Rayleigh formulas. Expressions for movement of the dispenser weighing system and dynamic error are obtained. Taking into account the construction of the weighing system of the dispenser used in the production of concrete mixtures, the frequency of natural oscillations of the mechanical system was calculated.Results are obtained for the dynamic dosing error in the case of undamped movement of the weighing system and in the case of viscous critical damping. KeywordsBalancing mechanismQuadrantLeverWeighing systemDampingDynamic errorFree motionDoserOscillationDifferential equationRayleigh formulas