APPLICATION OF THE METHOD OF WEIGHT SELECTIVE FUNCTIONS FOR DESCRIPTION OF COMPLEX NONLINEAR DEPENDENCIES

Authors

  • A. M. Silvestrov National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
  • O. M. Skrynnyk National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
  • L. Yu. Spinul National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

DOI:

https://doi.org/10.18372/1990-5548.53.12155

Keywords:

Identification, method of selective functions, object-oriented modeling.

Abstract

The article deals with the problem of constructing the mathematical dependence of stresses in a film from the radius of a roll in the problem of its winding in a roll. To development its dependence, we proposed using the method of a piecewise-analytical description based on the least squares method with weight selective functions. The results of research are presented in the publication confirming the possibility of developing a rather simple mathematical model by the method of selective functions what meets the requirements of modern methods of object-oriented modeling for accuracy of the approximation.

Author Biographies

A. M. Silvestrov, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Theoretical Grounds of Electrical Engineering Department

Doctor of Engineering Science. Professor

O. M. Skrynnyk, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Theoretical Grounds of Electrical Engineering Department

Assistant

L. Yu. Spinul, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Theoretical Grounds of Electrical Engineering Department

Associate Professor

References

N.N. Nikitin, The theoretical mechanics. Moscow, Vysshaya shkola, 1999, 607 p. (in Russian).

Yu.O. Kirichenko, “The mathematical model of stress-strain state of rolled material,” Visnyk VKNUTD. no. 3. 123 p., 2004. (in Ukrainian).

V.V. Kostrytskyi, Yu.O. Kirichenko, and L.F. Artemenko, “The researching of stress-strain state of rolled material,” Visnyk VKNUTD, no. 5, 163 p., 2004. (in Ukrainian)

Downloads

Issue

Vol. 3 No. 53 (2017)

Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS

License

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).