МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ТРАСИ ГІДРОТРАНСПОРТУ ЗА ДОПОМОГОЮ ПАРАБОЛІЧНИХ СПЛАЙНІВ
Journal Title: Математичне моделювання - Year 2018, Vol 1, Issue 1
Abstract
MATHEMATICAL MODELLING A ROUTE OF HYDROTRANSPORT BY MEANS OF PARABOLIC SPLINES Hasylo Yu.A., Levchuk K.O., Romaniuk R.Ja. Abstract One of dustiness sources on work stations is open transportation of loose materials (sand, cement and other dust materials) by means of carriers and conveyors, and also different cargo handling facilities and launders. The most reliable, simple in manufacturing and not demanding the big expenses is without a pressure hydraulic type of transport for disalignment of materials to a dry condition. At sampling of optimum values a slope and a contour to launder, flow rates, parametres of a route and other factors was possiblly dustiness decrease on work stations in transit loose materials with its help. Theoretical and experimental researches of disalignment materials with the help without pressure hydraulic transport were observed in many robots, but the theory disalignment of loose materials in a fluid stream to the present time is absent also sampling characteristics of a route, its contour, conditions of transportation, sites of slakers of speed and other parametres have no scientific substantiation. The work purpose is working out algorithm of mathematical modelling a route of hydrotransport which has a smooth contour and the minimum expenses of energy for a collision. Owing to technological habits the route of a launder hydrotransport of loose materials cannot be rectilinear on all length. The launder line consists of rectilinear sections which are bridged by slight curves. It is experimentally proved, that in places of the greatest curvature of a route owing to a collision of firm corpuscles in a following launder considerable energy is lost. For decrease in losses it is necessary to find a route profile, i.e. a contour which has the minimum curvature. For the solution this problem the method of modelling smooth contours is used by parabolic splines. The given method shows satisfactory results in cases, when difference of altitudes the small. If the required route is abrupt infringements of isogeometrical characteristics of parabolic splines are possible, i.e. the condition of monotony a spline is not satisfied. In these cases it is necessary to use apparatuses of modelling which keep geometrical characteristics of a contour, for example, splines in the form of beams. References [1] Kuprin A.I., Tihoncov A.M. Gidrotransport struzhki [Chip hydrotransport]. Moscow, 1978. 80 p. [2] Ogurcov A.P., Mamaev L.M., Kuprin A.I. Issledovanie parametrov transporta sypuchih materialov v otkrytom potoke zhidkosti [Exploration of parameters transport of loose materials in an open fluid stream]. Kiev, 1995. 505 p. [3] Gasilo Ju.A. Razrabotka kompleksa meroprijatij i sredstv dlja sozdanija komfortnyh uslovij truda na rabochih mestah s povyshennym vydeleniem pyli. Diss. kand. tekhn. Nauk [Working out of a complex provisions and means for creation comfortable working conditions on work stations with the raised stressing of a dust. Candidate eng. sci. diss. (Ph. D.)]. Dnepropetrovsk, 1998. 224 p. [4] Kuprin A.I. Zavisimost' udel'noj transportirujushhej sposobnosti ot udel'noj jenergii zhivogo sechenija potoka pul'py [Dependence of specific carrying ability on a specific energy of an equipotential section a stream of mash]. Izv. VUZov. Gornyj zhurnal, 1987, no. 8, pp. 57–61 (in Russian). [5] Kuprin A.I. Issledovanie parametrov transportirujushhego potoka pul'py [Exploration of parameters of a carrying stream of mash ]. Izv. VUZov Gornyj zhurnal, 1989, no. 3. pp. 24–29 (in Russian). [6] Hasylo Yu.A., Romaniuk R.Ya., Makarenko P.P. [The assaying conditions of possibility application without pressure transportation for disalignment of materials which generate dust]. Zb. nauk. prats Dniprodzerzhynskoho derzhavnoho tekhnichnoho universytetu: (tekhnichni nauky) [The collector proceedings of Dneprodzerzhinsk state technical university: (engineering science) ]. Dneprodzerzhinsk, 2016, no. 1(28), pp. 204–208 (In Ukrainian). [7] Zav'jalov Ju.S., Leus, V.A. Skorospelov V.A. Splajny v inzhenernoj geometrii [Splines in engineering geometry]. Moscow, 1985. 224 p. [8] Stechkin S.B., Subbotin Ju.N. Splajny v vychislitel'noj matematike [Splines in calculus mathematics]. Moscow, 1976. 248 p. [9] Kuprin A.I., Gasilo Ju.A. Issledovanie fizicheskih i tehnologicheskih parametrov gidrotransportirujushhego potoka [Exploration of physical and technological parametres of a hydrocarrying ¬ stream]. Dneprodzerzhinsk, 1991. 22 p. Dep. v GNTB Ukrainy 23.11.93, №981 (in Russian). [10] Ligun A.A., Shumejko A.A., Gasilo Ju.A., Kuprin A.I. Issledovanie i raschet profilej trass gravitacionnogo i beznapornogo gidrotransporta [Exploration and calculation profiles of routes gravitational and without pressure hydrotransport]. Dneprodzerzhinsk, 1993. 29 p. Dep. v GNTB Ukrainy 23.11.93, №2165 (in Russian). [11] Gasilo Ju.A. Shumejko A.A., Safonov V.V. [To a question on construction of routes of hydrotransport by means of splines in the form of beams]. Sistemnye tehnologii. Issledovanie dinamiki i optimizacija parametrov tehnologicheskih processov: sb. nauch. trudov [System production engineering. Exploration of dynamics and optimisation of parametres of processes: the collector of proceedings]. Dnepropetrovsk, 1998. no, 2, pp. 13–19 (in Russian).
Authors and Affiliations
Ю. А. Гасило, К. О. Левчук, Р. Я. Романюк
Keywords
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- EP ID EP294889
- DOI 10.31319/2519-8106.1(38)2018.129010
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