Nonlinear mathematical models for paths maintaining constant normal accelerations


Pakdemirli M., Ylldlz V.

11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, Fransa, 4 - 08 Temmuz 2016, cilt.1798, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1798
  • Doi Numarası: 10.1063/1.4972713
  • Basıldığı Şehir: La Rochelle
  • Basıldığı Ülke: Fransa
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

New path equations maintaining constant normal accelerations with arbitrary tangential decelerations for a moving object is derived. The case of tangential deceleration proportional to the square of velocity is treated in detail. It is assumed that in this special case, the vehicle is under the influence of drag force only. The equation is cast into a dimensionless form first. Numerical solution of the resulting nonlinear third order differential equation is contrasted with the perturbation solution. When the perturbation parameter is small, the match is excellent. The derived paths may found applications in the motion of land, marine and aerial vehicles.