Simulation of Spiral and Screw Dispensers Operations Using Structural Transformations

УДК 681.268

  • M.A. Novoseltseva Kemerovo State University (Kemerovo, Russia) Email: novoseltseva.ma@gmail.com
  • S.G. Gutova Kemerovo State University (Kemerovo, Russia) Email: gsg1967@mail.ru
  • I.Yu. Churikov Kemerovo State University (Kemerovo, Russia) Email: ilyasfw@icloud.com
DOI_disc_logo https://doi.org/10.14258/izvasu(2022)1-15
Keywords: approximation of the output signal, the method of modeling a multisinusoidal signal, the theory of continued fractions, structural transformation, numerical simulation of the dispensers operation

Abstract

The making of homogenous mixtures from various materials and their interfusion is a process that has widespread use in the food industry. The quality of the finished product often relies on the outcome of this process. Therefore, the increase of requirements for the quality of mixtures makes studying the operational characteristics of various kinds of mixing equipment a must. One approach to do so is mathematical modeling. The paper reviews the simulation of the spiral and screw dispensers operations, which provide a preliminary initial stage of high-quality mixing of components. The presence of fluctuations in the dispensers leads to stochastic changes in the output signal, complicating the simulation process. Sequential structural transformations of the signal to filter fluctuations are applied to solve this problem. The apparatus of continued fractions is used to construct a mathematical model of the output signal from the dispensers as a harmonic component with a certain amplitude and angular frequency. The research results allow the simulation of processes at the inlet of continuous mixers with high accuracy. Besides, that lets us evaluate the effectiveness of the mixing processes and the influence of technological parameters on the quality of the mixtures.

Downloads

Download data is not yet available.

Author Biographies

M.A. Novoseltseva, Kemerovo State University (Kemerovo, Russia)

кандидат технических наук, доцент кафедры прикладной математики

S.G. Gutova, Kemerovo State University (Kemerovo, Russia)

кандидат технических наук, доцент кафедры прикладной математики

I.Yu. Churikov , Kemerovo State University (Kemerovo, Russia)

магистрант кафедры прикладной математики

References

Бородулин Д.М. Разработка и математическое моделирование непрерывно действующих смесительных агрегатов центробежного типа для переработки сыпучих материалов. Обобщенная теория и анализ (кибернетический подход). Кемерово, 2013.

Макаров Ю.И. Аппараты для смешения сыпучих материалов. М., 1973.

Федосенков Б.А., Иванец В.Н. Процессы дозирования сыпучих материалов в смесеприготовительных агрегатах непрерывного действия — обобщенная теория и анализ. Кемерово, 2002.

Селиванов Ю.Т., Першин В.Ф. Расчет и проектирование циркуляционных смесителей сыпучих материалов без внутренних перемешивающих устройств. М., 2004.

Гусев Ю.И., Карасев И.Н., Кольман-Иванов Э.Э., Макаров Ю.И., Макевнин М.П., Рассказов Н.И. Конструирование и расчет машин химических производств : учебник для вузов. М., 1985.

Першин В.Ф. Моделирование процесса смешивания сыпучего материала в поперечном сечении вращающегося барабана // Теоретические основы химической технологии. 1986. Т. 20. № 4.

Сатомо И. Смешивание твердых тел / пер. с японского // Пуранто когаку. 1968. Т. 10. № 5.

Кога Д. Исследование процесса смешения частиц с различной плотностью в горизонтальном барабанном смесителе / Пер. с японского // Рика-когу кэнкюсе хококу. 1980. Т. 56. № 5-6.

Sayyad T.Al., Pershin V., Pasko A., Pasko T. Virtual Modelling of Particles Two-Step Feeding // Journal of Physics: Conference Series. Vol. 1084, № 1. IOP Publishing, 2018.

Ola D. C. Screw Feeder Flow Profile of Agro-Food Bulk Solids. Laboratory Stand Review // Bulletin of the Transilvania University of Brasov. Forestry, Wood Industry, Agricultural Food Engineering. Series II; 2017. Vol. 10.

Mehos G., Morgan D. Hopper design principles. January 1, 2016. URL: https://www.chemengonline.com/ hopper-design-principles/?printmode=1 (дата обращения: 23.10.2021).

Vetter G. Handbuch Dosieren. Vulkan Verlag Essen. 1994.

Vollmann A.G. Untersuchung der Schuttgutforderung in geneigten Schneckenforderern. Dissertation TU Munchen, Germany, 2000.

Bortolamasi M., Fottner J. Design and Sizing of Screw Feeders // Proc. Partec 2001, Int. Congress for Particle Technology, Nuremberg, Germany, 2729 March 2001.

Roberts A.W. Predicting the Volumetric and Torque Characteristics of Screw Feeders // Bulk Solids Handling, 1996. Vol. 16. № 2.

Screw Conveyors for Bulk Materials — ANSI/CEMA Standard #350, 2019. URL: https://cemanet.org/wp-content/ uploads/2019/06/ANSI-CEMA-350-FinalReview.pdf (дата обращения: 23.10.2021).

Новосельцева М.А. Выявление скрытых периодичностей зашумленных сигналов с помощью модели структурной функции в форме непрерывной дроби // Вестник Кем. гос. ун-та: журнал теоретических и прикладных исследований. 2010. № 4.

Романенко А.Ф., Сергеев ГА. Вопросы прикладного анализа случайных процессов. М., 1968.

Novoseltseva M.A., Gutova S.G., Kazakevich I.A. Structural and Parametric Identification of a Multisinusoidal Signal Model by Using Continued Fractions // 2018 International Russian Automation Conference, RusAutoCon. Sochi, 2018. DOI: 10.1109/RUSAUT0C0N.2018.8501834.

Published
2022-03-18
How to Cite
Novoseltseva M., Gutova S., Churikov I. Simulation of Spiral and Screw Dispensers Operations Using Structural Transformations // Izvestiya of Altai State University, 2022, № 1(123). P. 95-100 DOI: 10.14258/izvasu(2022)1-15. URL: https://izvestiya.asu.ru/article/view/%282022%291-15.
Issue
No 1(123) (2022): Известия Алтайского государственного университета
Section
Математика и механика

Copyright (c) 2022 Марина Александровна Новосельцева, Светлана Геннадьевна Гутова, Илья Юрьевич Чуриков

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Izvestiya of Altai State University is a golden publisher, as we allow self-archiving, but most importantly we are fully transparent about your rights.

Authors may present and discuss their findings ahead of publication: at biological or scientific conferences, on preprint servers, in public databases, and in blogs, wikis, tweets, and other informal communication channels.

Izvestiya of Altai State University allows authors to deposit manuscripts (currently under review or those for intended submission to Izvestiya of Altai State University) in non-commercial, pre-print servers such as ArXiv.

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).