{"id":1782,"date":"2021-01-16T19:47:55","date_gmt":"2021-01-16T17:47:55","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=1782"},"modified":"2021-04-19T10:20:28","modified_gmt":"2021-04-19T07:20:28","slug":"%d0%bc%d0%b0%d1%82%d0%b5%d0%bc%d0%b0%d1%82%d0%b8%d1%87%d0%bd%d0%b5-%d0%bc%d0%be%d0%b4%d0%b5%d0%bb%d1%8e%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-%d1%82%d0%b0-%d0%be%d1%81%d0%bd%d0%be%d0%b2%d0%b8-%d0%ba%d0%be","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=1782","title":{"rendered":"\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0435 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0442\u0430 \u043e\u0441\u043d\u043e\u0432\u0438 \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u044e\u0432\u0430\u043d\u043d\u044f \u0432\u0456\u0431\u0440\u0430\u0446\u0456\u0439\u043d\u0438\u0445 \u0437\u043c\u0456\u0448\u0443\u0432\u0430\u0447\u0456\u0432"},"content":{"rendered":"<p style=\"text-align: center;\">\u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u0427\u041d\u0415 \u041c\u041e\u0414\u0415\u041b\u042e\u0412\u0410\u041d\u041d\u042f \u0422\u0410 \u041e\u0421\u041d\u041e\u0412\u0418 \u041a\u041e\u041d\u0421\u0422\u0420\u0423\u042e\u0412\u0410\u041d\u041d\u042f \u0412\u0406\u0411\u0420\u0410\u0426\u0406\u0419\u041d\u0418\u0425 \u0417\u041c\u0406\u0428\u0423\u0412\u0410\u0427\u0406\u0412<\/p>\n<p style=\"text-align: center;\">MATHEMATICAL MODELLING AND BASICS OF CONSTRUCTION OF VIBRATION MIXERS<\/p>\n<p><a href=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/7-8.pdf\"><img src=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/pdf.png\" \/><\/a> <strong>\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 30-33. \u041d\u043e\u043c\u0435\u0440: \u21165, 2019 (277)<\/strong><br \/>\n<strong>\u0410\u0432\u0442\u043e\u0440\u0438: <\/strong><br \/>\n\u041e.\u0406. \u041c\u0410\u041b\u0410\u041a\u041e\u0412, \u0421.\u0410. \u0411\u0423\u0420\u041b\u0410\u041a\u0410, \u042e.\u041e. \u041c\u0418\u0425\u0410\u041b\u042c\u041e\u0412\u0410<br \/>\n\u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0430\u0433\u0440\u0430\u0440\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\nO.I. MALAKOV, S.A. BURLAKA, Y.O. MIKHALIOVA<br \/>\nVinnytsia National Agrarian University<br \/>\n<strong>DOI:<\/strong> <a href=\"https:\/\/www.doi.org\/10.31891\/2307-5732-2019-277-5-30-33\">https:\/\/www.doi.org\/10.31891\/2307-5732-2019-277-5-30-33<\/a><br \/>\n<strong>\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 21.06.2019 \u0440.<br \/>\n<strong>\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 23.07.2019 \u0440.<\/p>\n<p style=\"text-align: center;\"><strong>\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n<p>\u0412 \u0441\u0442\u0430\u0442\u0442\u0456 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u043e \u0456 \u0443\u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0435\u043d\u043e \u043c\u0435\u0442\u043e\u0434\u0438 \u043f\u0440\u043e\u0435\u043a\u0442\u0443\u0432\u0430\u043d\u043d\u044f 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\u043c\u043e\u0434\u0435\u043b\u0456.<br \/>\n<strong>\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430: <\/strong>\u0437\u043c\u0456\u0448\u0443\u0432\u0430\u043d\u043d\u044f, \u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0456 \u043c\u043e\u0434\u0435\u043b\u0456, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0435 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f, \u0432\u0456\u0431\u0440\u0430\u0446\u0456\u0439\u043d\u0456 \u043c\u0430\u0448\u0438\u043d\u0438.<\/p>\n<p style=\"text-align: center;\"><strong>\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n<p>The article systematizes and generalizes the methods of designing mixing equipment and the intensification of mixing processes, solved the problems associated with the methodological principles of finding ways to increase the intensity and efficiency of the working processes of mixing machines. It was established that they require clarification and further improvement of existing methods for calculating mixing equipment using promising physical and technical effects. The effect of mixing force factors on the change in the path of the executive bodies of the vibration technological system, which allows to predict the loading behaviour and minimize the number of kinematic links in the system, is substantiated. The directions of development of the designs of energy-saving and high-performance vibration drives of machines for the implementation of crushing, cutting, mixing, cleaning the surface cover and separation of heterogeneous systems in the processes of food and processing industries are studied. The dynamic models of vibration drives with combined kinematic vibration excitation are investigated. Analytical dependences are obtained for assessing the kinematic, power and energy characteristics of vibration systems, which made it possible to select and justify a rational method of vibration excitation for technological machines for mechanical impact on raw materials. Mathematical models are analysed, and they are most often used when studying the kinetics of mixing processes using the residence time distribution (RFI) function of the component under study in the response curves of the nature of the resistance. The certain adequacy of the considered mixing models for real physical processes occurring in mixing devices by applying verified data to the calculated curves with the stepwise introduction of the indicator. When developing and analysing mathematical models, approximate data on the possible values of some parameters of the model equations were used, and the model was corrected.<br \/>\n<strong>Key words: <\/strong>dynamic model, dynamic model, mathematical model, automatic machine.<\/p>\n<p style=\"text-align: center;\"><strong>References<\/strong><\/p>\n<ol>\n<li>Povidaylo V.O. Vibration processes and equipment \/ V.O. Povidaylo. \u2013 Lviv : Publishing House of Lviv Polytechnic National University, 2004. \u2013 248 p.<\/li>\n<li>Babichev A.P. Fundamentals of Vibration Technology \/ A.P. Babichev, I.P. Babichev. \u2013 Rostov-on-Don : Publishing center of DSTU, 1999. \u2013 620 p.<\/li>\n<li>Tsurkan O.V. Combined vibrating mixer \/ O.V. Zurkan, I.M. Kesarchuk \/\/ Vibrations in Engineering and Technology. \u2013 2009. \u2013 No 1 (53). \u2013 P. 114\u2013115.<\/li>\n<li>Sarang O. Effects of powder cohesion and segregation on pharmaceutical mixing and granulation: dissertation of doctor of philosophy : 05.2003 \/ O. \u2013 USA: New Jersey, 2016. \u2013 P. 1\u20138.<\/li>\n<li>Baranetska O.R. Vibrational mixing of mixtures of bulk materials \/ O.R. Baranetska \/\/ Mechanical Engineering. \u2013 2000. \u2013 No 3 (33). \u2013 P. 60\u201363.<\/li>\n<li>Bernik M.P. Vibration impulse drive of a new vibration mixer \/ \u041c.\u041f. Bernik, O.V. Zurkan, L.D. Velichko \/\/ Vibrations in Engineering and Technology. \u2013 2001. \u2013 No 2 (18). \u2013 P. 3\u20137.<\/li>\n<li>For utility model 115132 Ukraine (UA), IPC B01F 11\/00. Vibration centrifugal mixer \/ V.P. Yanovich, I.P. Palamarchuk, Y.O. Mikhaliova ; the applicant and the patent owner Janovich V.P. \u2013 Statement. 25.07.2016 ; publ. 10\/04\/2017, Bul. No. 7. \u2013 5 p.<\/li>\n<li>Grigorenko Y.V. MATHEMATICAL MODELS AND GENERALIZATION OF THE MATHEMATICAL DESCRIPTION OF THE PROCESSES OF PRIMARY PROCESSING OF CRUDE CARBON [Electronic resource] \/ Y.V. Grigorenko \/\/ MNATMET. \u2013 2014. \u2013 Resource access mode: http:\/\/irbis-nbuv.gov.ua\/cgi-bin\/irbis_nbuv\/cgiirbis_64.exe?C21COM=2&amp;I21DBN=UJRN&amp;P21DBN=UJRN&amp;IMAGE _FILE_DOWNLOAD = 1 &amp; Image_file_201.pdf<\/li>\n<li>Pogosov A.Y. Modeling of physical processes and technological informatization in the oil industry and energy: a monograph \/ A.Y. Pogosov, SA Polozhaenko, Y.V. Grigorenko. \u2013 Odessa : Science and Technology, 2013. \u2013 656 p.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u0427\u041d\u0415 \u041c\u041e\u0414\u0415\u041b\u042e\u0412\u0410\u041d\u041d\u042f \u0422\u0410 \u041e\u0421\u041d\u041e\u0412\u0418 \u041a\u041e\u041d\u0421\u0422\u0420\u0423\u042e\u0412\u0410\u041d\u041d\u042f \u0412\u0406\u0411\u0420\u0410\u0426\u0406\u0419\u041d\u0418\u0425 \u0417\u041c\u0406\u0428\u0423\u0412\u0410\u0427\u0406\u0412 MATHEMATICAL MODELLING AND BASICS OF CONSTRUCTION OF VIBRATION MIXERS \u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 30-33. \u041d\u043e\u043c\u0435\u0440: \u21165, 2019 (277) \u0410\u0432\u0442\u043e\u0440\u0438: \u041e.\u0406. \u041c\u0410\u041b\u0410\u041a\u041e\u0412, \u0421.\u0410. \u0411\u0423\u0420\u041b\u0410\u041a\u0410, \u042e.\u041e. \u041c\u0418\u0425\u0410\u041b\u042c\u041e\u0412\u0410 \u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0430\u0433\u0440\u0430\u0440\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 O.I. MALAKOV, S.A. BURLAKA, Y.O. MIKHALIOVA Vinnytsia National Agrarian University DOI: https:\/\/www.doi.org\/10.31891\/2307-5732-2019-277-5-30-33 \u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review : 21.06.2019 \u0440. \u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed : 23.07.2019 \u0440. \u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[18],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1782"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1782"}],"version-history":[{"count":3,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1782\/revisions"}],"predecessor-version":[{"id":5848,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1782\/revisions\/5848"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1782"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1782"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1782"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}