Lines with controlled curvature constructed means of mathematical package MAPLE

Authors

  • L. M. Kutsenko National University of Civil Protection of Ukraine
  • V. F. Chelombitko Kharkiv National University of Radio Electronics

DOI:

https://doi.org/10.18372/2415-8151.1.6007

Keywords:

Curves with the guided curvature, classic curvature, law of curvature change, elastiques of euler, maple.

Abstract

The method of description and construction of curves is considered on a plane, the curvature calculated with a positive degree is included in natural equations of that.

Author Biographies

L. M. Kutsenko, National University of Civil Protection of Ukraine

Kutsenko L.M., d.n.t., Professor National University of Civil Protection of Ukraine

V. F. Chelombitko, Kharkiv National University of Radio Electronics

Chelombitko V.F. Kharkiv National University of Radio Electronics, Ukraine

References

Savelov A.A. Ploskie krivyie. Sistematika, svoystva, primeneniya / A.A. Savelov / - M .: Fizmatgiz, 1960.- 289 s.

Pilipaka S.F. Issledovanie ploskih krivyih, naturalnyie uravneniya kotoryih imeyut sinusoidalnyiy harakter // Pilipaka S.F. / Prikladnaya geometriya i inzhenernaya grafika. K .: KNUBA, 2006. - vyip. 76. - S. 160-165

Badaev Yu.I. Universalnaya analiticheskaya krivaya dlya postroeniya uzora. // Yu.I.Badaev, T.I.Schogoleva / Prikladnaya geom. i inzh. grafika - Trudyi / Tavricheskaya gos. agrotehnicheskaya akademiya. Vyip. 4, T, 40. - Melitopol: TDATU, 2008, - s. 32-37.

Borisenko V.D. Masshtabirovanie ploskih krivolineynyih obvodov zadannoy kriviznyi // Borisenko V.D., Ustenko S.A., Spitsyin V.E. / Prikladnaya geometriya i inzhenernaya grafika. K .: KNUBA, 2003. - vyip. 72. - S. 189-191

Rashevskiy L.V. Kurs differentsialnoy geometrii / L.V. Rashevskiy / - M., L. : Gonta, 1939, 360s.

Sachkov Yu.L. Issledovanie zadach mehaniki, robototehniki i vosstanovleniya izobrazheniy metodami geometricheskoy teorii upravleniya // Yu.L.Sachkov / Trudyi seminara laboratorii #7. Pereslavl-Zalesskiy: Institut programmnyih Sistem RAN, 2011. - 79 s.

Published

2012-12-25

Issue

Section

Статті