## Theory of vertical oscillations of a frontally mounted tops harvesting machine

To establish influence of kinematic and constructive parameters of tops-harvesting machine on quality of a continuous cut of the massif of tops at oscillations in the longitudinal-vertical plane of its tops-cutting device at frontally mounted machine on a wheeled row-crop aggregate tractor. Used modeling methods based on higher mathematics, theoretical mechanics, solving a system of differential equations and compiling programs and numerical solutions on a PC. An equivalent scheme has been developed for a tops-harvester mounted on a wheeled tractor in front of it on its oscillations in the longitudinal-vertical plane, considering all the forces that arise, taking into account the kinematic excitation that occurs when moving along soil surface definitions also due to the elastic-damping properties of its support-copying wheels. For the specified equivalent scheme, on the basis of application of initial equations in the form of Lagrange of the 2nd kind, on the chosen generalized coordinates, the system of two nonlinear differential equations of oscillatory motion of the tops-harvesting machine is received. According to the analytical transformations, the solution of this system was obtained, which made it possible to obtain the f inal expressions for determining the amplitude and circular frequency of natural and forced oscillations of the tops-harvesting machine. Numerical calculations of the received expressions on the made program on the personal computer are carried out . According to the results of numerical simulation, the final expression was obtained, which allowed to determine the vertical displacements of the end of the rotary cutting unit during the oscillations of the topping machine in the longitudinal-vertical plane. Numerical calculations on the PC of the received expression gave the chance to construct graphic dependences which establish dependences of amplitude of the specified oscillations depending on constructive parameters of the tops-harvesting machine, and also characteristics of roughnesses of a soil surface and elasticdamping properties of copying wheels.

## Problems of production and use of hydroponic products in agricultural production

Production of hydroponic green fodder is an important task of agriculture, which in developed countries is given enough attention. Currently, the world’s developed a considerable number of various designs installations for the production of hydroponic products, but the main working body of these installations are trays in which the cultivation of hydroponic green fodder, as one of the most simple, but fairly effective devices for seeding, cultivation and the ready products. The main global trends in the production of hydroponic green fodder, as one of the components of the diet of poultry and cattle, are considered. The paper analyzes the operation of the workshops for the production of hydroponic products equipped with the facilities of the new design developed by us. Compared some economic characteristics of hydroponic workshops manufactured in foreign countries and developed in Ukraine. Thus, the conclusion is obvious – domestic plants for the production of hydroponic green fodder are more economical than their foreign counterparts.

## EXPERIMENTAL STUDY OF OPERATION INDICATORS OF BEET TOPS HARVESTING MACHINE FOR SUGAR BEET TOPS CONTINUOUS CUTTING

Field experimental studies of a new beet tops harvesting machine, which is front mounted on a wheeled tractor aggregating tractor, are carried out, carrying out a continuous non-sensing cut of the green massif of sugar beet tops. At the same time, a new laboratory-field installation was developed, which consists of a rotor type front mounted rotary type machine with a horizontal axis of rotation, a transverse screw for collecting the cutted leaves from all width, and a loading mechanism in the form of a paddlewheel and a loading nozzle. During the field experiments, the tractor moving with a specified speed regime fixed by track measuring wheel, the total cutting height was set in a predetermined interval by means of two pneumatic sensing wheels with adjustment mechanisms. The rotational speed of the rotary cutter, with arched knives mounted on the drive horizontal drum, was varied with the help of replacement asterisks. In the prepared area of sugar beet field, the beet tops was cut at various parameters of the harvesting process, which was then estimated by the size of the remaining tops remnants left on root crops heads and in the aisles. According to the developed program and methodology, statistical processing of the results of experimental studies with the help of a personal computer was subsequently carried out, which allowed obtaining graphical dependencies of the indicated tops residues on the root crops heads, which made it possible to establish performance of new harvesting machine for continuous cutting of sugar beet tops. The established dependencies made it possible to choose rational constructive and technological parameters for harvesting tops by front mounted harvesting machine.

## SUBSTANTIATION OF PRODUCTION BIODIESEL AND ORGANIC BIOFUELS

Trans Motauto World, Vol. 2 (2017), Issue 3, pg(s) 135-139

There are in the article systematically finding out scientific-methodological and organizational-economical foundations of the development of biofuel market, forming of energy crops market, which used as plant origin bioraw material and economical estimation of their usage in the area of agro-industrial complex. World trends of development of biofuel from plant origin bioraw material were generalized, theoretical- methodological bases of forming biofuel market and its social-economic meaning in development of agro-industrial complex and economy integrally, other problems of organization of producing of bioenergy crops and competitiveness of biofuel market were examined. Prospects of development of biofuel were economically substantiated. The main problems, which restricting biofuel market are the absence of the accurate strategy of development.

## MATHEMATICAL MODEL OF INTERACTION OF THE FLEXIBLE CLEANING BLADE WITH ROOT CROP HEAD

Modern technologies of harvesting sugar beet tops provide solid preliminary cutting and collecting its harvest at the increased altitude and subsequent additional root crops heads cleaning from tops residues on a root. This last operation also defines quality of root crops of beet before their digging up. Objective of this research is improvement quality of root crops heads cleaning from tops remains, by development of interaction theory of flexible cleaning blade with a spherical surface of root crop head. In the theoretical study were used methods of modeling, higher mathematics and theoretical mechanics, as well as programming and carrying out numerical calculations on the PC. As a result of the conducted theoretical research the interaction theory of flexible cleaning blade with a root crop head surface in the course of its cleaning from tops remains is developed. On the basis of the received differential equations of blade movement which is pivotally mounted on the drive shaft with a horizontal axis of rotation, new mathematical dependences which justify basic parameters of this technology process are given.

## THEORETICAL RESEARCH OF CLEANER PRESSURE ON SUGAR BEET ROOT CROP

Technology incompatibility in the sugar beet harvesting process is established. Beet tops removing by follower cutoff with the subsequent root crop heads cleaning is possible at speed no more than 1.5 m·s-1 whereas beet pullers operate at speeds of 1.2… 1.5 times are higher. At a cutting without copier of sugar beet tops a working speed makes more than 1.5 m·s-1, however losses of sugar-bearing plant material exceed agrotechnical requirements twice because of unreasonable height of a cut relative to soil surface. The differential equation of bow-shaped copier movement on a root crop head of sugar beet which is the main equation of functioning root crops heads cleaner is worked out. Components of the differential equation are defined and dependence of normal reaction on design parameters of root crop head cleaner is received. Conditions not of knocking-out of root crops are received and rational values of design parameters and operating modes of root crop head cleaner are proved.

## THEORETICAL DETERMINATION OF CUTTING FORCE OF THE SUGAR BEET TOPS FROM ROOT CROP HEAD

Beet tops harvesting is a complex task of the sugar beet growing industry which forms the qualitative indicators of root crops during their further digging out from the soil and determines the loss of tops and sugar-bearing mass. In the development of theoretical foundations of the optimal tops cutting from heads of sugar beet root by different types of topping working bodies should take into account forces which act at the same time and the rational cutting height. Theoretical researches having been carried out hitherto concerned only the detailed analytical description of the functioning of the new designs of topping working bodies and practically did not concern the general provisions of the separation tops from the head of root crop. The aim of this study is the theoretical determination of the forces that occur at the contact point of cutting working body of topper machines with root crops head of sugar beet root crop. When carrying out theoretical studies are used the methods of mathematics, theoretical mechanics, strength of materials, methods of programming and numerical calculations on PC. As a result, of the theoretical research new analytical dependencies of force describing the processes of crumpling and subsequently cutting of sugar beet heads by topping working body, depending on the size and shape of root crops heads and design parameters of topper have been obtained. As a result, of numerical calculations on PC critical level value of penetration of the cutting element of topping working body into root crops head of sugar beet and maximum value of cutting force at which ejection of root vegetables from the soil doesn’t take place, was defined. The obtained theoretical dependencies and values of normal reaction and cutting forces are the basis for the further working out of a mathematical model of dynamic interaction system of cutting working bodies with the heads of sugar beet.