ANALYTICAL STUDY OF THE IMPROVED MATHEMATICAL MODEL OF THE VIBRATION DRIVE FOR SOLID HOUSEHOLD WASTE ADDITIONAL COMPACTION IN THE DUST CART

Abstract

On the base of the analysis, carried out, of the numerical studies of the complete. improved mathematical model of the vibrational compaction of the solid waste in the dust cart , using the  pressure pulse generator of the relay differential action and taking into account the density  and relative humidity of the dehydrated and pre- compacted solid waste the simplified improved mathematical model was suggested . In the process of comparison of the results, obtained using the  complete and simplified improved mathematical models of the vibrational additional compaction of the solid household waste in the dust cart , in particular, the degree of their compaction, the error was 4.35%, this value is acceptable for the realization of the previous design calculations of the basic parameters of the drive. For the analytical study of the simplified mathematical model the working cycle of the improved vibrational drive for the additional compaction of the solid household waste in the dust cart  is presented by six basic phases, each of them is described by the corresponding system of the differential equations with the initial and boundary conditions. For the analytical study of the simplified, improved mathematical model of the vibrational drive for the additional compaction of the solid household waste in the dust cart  such methods are used: solution of the system of ordinary linear differential equations, applying the Laplace  transformation, linearization of the  non-linearities, decomposition of the expression into the common fractions, solution of the incomplete cubic equation, applying Cardano formulas, computer simulation. Analytical study of the simplified mathematical model of the vibrational drive for the additional compaction of the solid household waste in the dust cart  enabled to obtain the analytical interdependences of its basic parameters and dependences of the frequency and amplitude on the basic parameters of the given drive with the error not exceeding  5.34%, they can be used for the realization of the preliminary design calculations of its parameters as one of the components for the solution of the problem, dealing with the development of the scientific-engineering fundamentals of the design of the efficient  tools of the  machines for the collection and   primary  processing of the solid household waste.