Force required to move the flexible strip up surface of horizontal cylinder

Authors

DOI:

https://doi.org/10.31548/machenergy2021.01.025

Keywords:

flexible strip, rough surface, horizontal cylinder, pushing force, movement speed, differential equation

Abstract

A differential equation of the motion of a flexible incompressible strip with a rectangular crosssection curve along the inner rough surface of a horizontal cylinder has been derived in the article. The strip moves up perpendicularly to the generatrix of the cylinder with a given constant speed, that is, the trajectory of movement is the cross-section curve of the cylinder. The equation takes into account the weight forces of the strip and the friction force from the resulting pressure force of the strip on the surface, as well as the additional friction force depending on the compression of the strip and the angle of its coverage with the cylinder. An example for a circular cylinder is considered. The differential equation is solved, the necessary force for pushing the strip is found. The graphs illustrating the influence of different factors on the pushing force of a strip at a given angle of its coverage are constructed.

References

Pylypaka S., Klendii M., Zaharova T. (2019). Movement of the particle on the external surface of the cylinder, which makes the translational oscillations in horizontal planes. Lecture Notes in Mechanical Engineering. 2. 336-345.

Pylypaka S., Klendii M., Kremets T., Klendii O. (2018). Particle motion over the surface of a cylinder, which performs translational oscillations in a vertical plane. Engineering Journal. 22(3). 83-92.

Batluk V., Basov M., Klymets V. (2013). Mathematical model for motion of weighted parts in curled flow. Econtechmod. 2(3). 17-24.

Liaposchenko O., Pavlenko I., Nastenko O. (2017). The model of crossed movement and gas-liquid flow interaction with captured liquid film in the inertialfiltering separation channels. Separation and Purification Technology. 173. 240-243.

Kresan T., Pylypaka S., Ruzhylo Z., Rogovskii I., Trokhaniak O. (2020). External rolling of a polygon on a closed curvilinear profile. Acta Polytechnica. 60(4). 313- 317. https://doi.org/10.14311/AP.2020.60. 0313.

Pylypaka S. F., Nesvidomin V. M., Klendii M. B., Rogovskii I. L., Kresan T. A., Trokhaniak V. I. (2019). Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder. Bulletin of the Karaganda University – Mathematics. 95(3). 108-118. doi 10.31489/2019M2/108-119.

Loveikin V. S., Romesevych Yu. O. (2017). Dynamic optimization of a mine winder acceleration mode. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 4. 81-87.

Pilipaka S. F., Zaharova T. N., Nesvidomin A. V. (2013). The shape of the axis of a flexible incompressible strip when it is pushed along an inclined rough plane at a constant speed. MOTROL. Rzeszow. 15(4). 198-205.

Veselovski M., Novak Ya., Vojtyuk D., Pilipaka S. (2013). The shape of the axis of the slice when it is pushed along the plane of the oblique wedge at a constant speed. Mechanization and electrification of agriculture. Glevaha. 98 (1). 558-574.

Downloads

Published

2021-08-23

Issue

No. 12(1) (2021)

Section

Статті

License

Relationship between right holders and users shall be governed by the terms of the license Creative Commons  Attribution – non-commercial – Distribution On Same Conditions 4.0 international (CC BY-NC-SA 4.0):https://creativecommons.org/licenses/by-nc-sa/4.0/deed.uk

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

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • 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.
  • 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).