Exact Mathematical Solution for Maximum Transient Offtracking Calculation of a Single-Unit Vehicle Negotiating Circular Curves
Аутори
Ilić, Vladan![](/themes/MirageGraFar/images/orcid.png)
Lukić, Miloš
![](/themes/MirageGraFar/images/orcid.png)
Gavran, Dejan
![](/themes/MirageGraFar/images/orcid.png)
Fric, Sanja
![](/themes/MirageGraFar/images/orcid.png)
Trpčevski, Filip
![](/themes/MirageGraFar/images/orcid.png)
Vranjevac, Stefan
![](/themes/MirageGraFar/images/orcid.png)
Milovanović, Nikola
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The low-speed turning maneuverability of vehicles is closely related to a well-known
offtracking phenomenon which occurs when the rear wheels of a turning vehicle deviate towards
the inside of a horizontal curve. Although numerous mathematical models and computer programs
for vehicle swept path analysis have been developed in the past, only a few of them can calculate
the maximum transient offtracking of a turning vehicle, yet with limited accuracy. The authors
were motivated by this fact to find a new mathematical solution for maximum transient offtracking
calculation of a single-unit vehicle when negotiating circular curves. In the first stage, a transcendental equation defining vehicle maximum transient offtracking position is derived and numerically solved by Python 3.10.12. In the second stage, the polynomial regression model predicting accurate numerical solutions of the transcendental equation with the desired level of accuracy was developed and tested. The new calculation... method is simple enough to simply take the vehicle datum length, circular curve radii, and turn angle, while instantly producing the maximum transient offtracking value, without the need to draw any of the vehicle movement trajectories.
Кључне речи:
road design / low-speed offtracking / maximum transient offtracking / vehicle movement / ICAO / transcendental equation / numerical solution / Python / polynomial regression modelИзвор:
Applied sciences (Innovations in Road Safety and Transportation), 2024, 13Издавач:
- MDPI, Basel, Switzerland
Институција/група
GraFarTY - JOUR AU - Ilić, Vladan AU - Lukić, Miloš AU - Gavran, Dejan AU - Fric, Sanja AU - Trpčevski, Filip AU - Vranjevac, Stefan AU - Milovanović, Nikola PY - 2024 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3534 AB - The low-speed turning maneuverability of vehicles is closely related to a well-known offtracking phenomenon which occurs when the rear wheels of a turning vehicle deviate towards the inside of a horizontal curve. Although numerous mathematical models and computer programs for vehicle swept path analysis have been developed in the past, only a few of them can calculate the maximum transient offtracking of a turning vehicle, yet with limited accuracy. The authors were motivated by this fact to find a new mathematical solution for maximum transient offtracking calculation of a single-unit vehicle when negotiating circular curves. In the first stage, a transcendental equation defining vehicle maximum transient offtracking position is derived and numerically solved by Python 3.10.12. In the second stage, the polynomial regression model predicting accurate numerical solutions of the transcendental equation with the desired level of accuracy was developed and tested. The new calculation method is simple enough to simply take the vehicle datum length, circular curve radii, and turn angle, while instantly producing the maximum transient offtracking value, without the need to draw any of the vehicle movement trajectories. PB - MDPI, Basel, Switzerland T2 - Applied sciences (Innovations in Road Safety and Transportation) T1 - Exact Mathematical Solution for Maximum Transient Offtracking Calculation of a Single-Unit Vehicle Negotiating Circular Curves IS - 13 DO - 10.3390/app14135570 ER -
@article{ author = "Ilić, Vladan and Lukić, Miloš and Gavran, Dejan and Fric, Sanja and Trpčevski, Filip and Vranjevac, Stefan and Milovanović, Nikola", year = "2024", abstract = "The low-speed turning maneuverability of vehicles is closely related to a well-known offtracking phenomenon which occurs when the rear wheels of a turning vehicle deviate towards the inside of a horizontal curve. Although numerous mathematical models and computer programs for vehicle swept path analysis have been developed in the past, only a few of them can calculate the maximum transient offtracking of a turning vehicle, yet with limited accuracy. The authors were motivated by this fact to find a new mathematical solution for maximum transient offtracking calculation of a single-unit vehicle when negotiating circular curves. In the first stage, a transcendental equation defining vehicle maximum transient offtracking position is derived and numerically solved by Python 3.10.12. In the second stage, the polynomial regression model predicting accurate numerical solutions of the transcendental equation with the desired level of accuracy was developed and tested. The new calculation method is simple enough to simply take the vehicle datum length, circular curve radii, and turn angle, while instantly producing the maximum transient offtracking value, without the need to draw any of the vehicle movement trajectories.", publisher = "MDPI, Basel, Switzerland", journal = "Applied sciences (Innovations in Road Safety and Transportation)", title = "Exact Mathematical Solution for Maximum Transient Offtracking Calculation of a Single-Unit Vehicle Negotiating Circular Curves", number = "13", doi = "10.3390/app14135570" }
Ilić, V., Lukić, M., Gavran, D., Fric, S., Trpčevski, F., Vranjevac, S.,& Milovanović, N.. (2024). Exact Mathematical Solution for Maximum Transient Offtracking Calculation of a Single-Unit Vehicle Negotiating Circular Curves. in Applied sciences (Innovations in Road Safety and Transportation) MDPI, Basel, Switzerland.(13). https://doi.org/10.3390/app14135570
Ilić V, Lukić M, Gavran D, Fric S, Trpčevski F, Vranjevac S, Milovanović N. Exact Mathematical Solution for Maximum Transient Offtracking Calculation of a Single-Unit Vehicle Negotiating Circular Curves. in Applied sciences (Innovations in Road Safety and Transportation). 2024;(13). doi:10.3390/app14135570 .
Ilić, Vladan, Lukić, Miloš, Gavran, Dejan, Fric, Sanja, Trpčevski, Filip, Vranjevac, Stefan, Milovanović, Nikola, "Exact Mathematical Solution for Maximum Transient Offtracking Calculation of a Single-Unit Vehicle Negotiating Circular Curves" in Applied sciences (Innovations in Road Safety and Transportation), no. 13 (2024), https://doi.org/10.3390/app14135570 . .