Russian Federation
Russian Federation
Objective: when determining the statistical distribution of vertical forces acting on the track for heavy-haul rolling stock (230.5–245.0 kN axial load), it is essential to account for the specific type of freight wagons. Methods: vertical dynamic wheel-rail forces generated by freight trains with axial loads of 230.5–245.0 kN were measured experimentally. Subsets of the observed data were separated based on wagon type and operational conditions. Separate statistical analysis was performed on each subset. Results: statistical analysis indicated that wagon type (tank, hopper dispenser, or gondola) significantly affects the statistical form of vertical wheel-rail forces. In a number of cases, the actual distribution of vertical forces does not follow the normal probability distribution law (Gaussian distribution), which is traditionally assumed when estimating track stress-strain indicators. Thus, this mismatch may induce errors in stress calculations and, consequently, lead to inefficient decision-making in railway track maintenance planning. To address this, an analytical relation was derived – based on Weibull distribution – linking the maximum dynamic wheel-rail force Pmax (kN) to the parameters of the Weibull distribution functions. This dependence enables a more accurate determination of the area under the probability density curve of vertical forces. Practical significance: the findings of the study can be applied to improve the precision of stress assessments and to inform indicators of the stress-strain state of the track in accordance with the Methodology for assessing the impact of rolling stock on the track to ensure its reliability.
vertical forces of the wheel on the rail, calculation of the strength path, normal random variable distribution, Weibull distribution
1. Metodika ocenki vozdeystviya podvizhnogo sostava na put' po usloviyam obespecheniya ego nadezhnosti, utv. rasporyazheniem OAO «RZhD» ot 22.12.2017 № 2706r.
2. Metodika ocenki vozdeystviya podvizhnogo sostava na put' po usloviyam obespecheniya ego nadezhnosti, utv. MPS RF ot 16.06.2000 № CPT–52/14. M., 2000. 40 s.
3. Obschie polozheniya metodiki ocenki vozdeystviya podvizhnogo sostava na put' po kriteriyam prochnosti i nadezhnosti / V. O. Pevzner [i dr.] // Put' i putevoe hozyaystvo. 2019. № 1. S. 26–30.
4. Obschie polozheniya metodiki ocenki vozdeystviya podvizhnogo sostava na put' po kriteriyam prochnosti i nadezhnosti / V. O. Pevzner [i dr.] // Put' i putevoe hozyaystvo. 2019. № 2. S. 38–40.
5. Obschie polozheniya metodiki ocenki vozdeystviya podvizhnogo sostava na put' po kriteriyam prochnosti i nadezhnosti / V. O. Pevzner [i dr.] // Put' i putevoe hozyaystvo. 2019. № 3. S. 34–37.
6. Klinov S. I. Raschety verhnego stroeniya puti na prochnost' i ustoychivost': uchebnoe posobie dlya vuzov zheleznodorozhnogo transporta. M.: MIIT, 1984. 115 s.
7. Shahunyanc G. M. Ustroystvo zheleznodorozhnogo puti: uchebnik dlya vuzov zh.-d. transporta. M.: Transzheldorizdat, 1944. 481 s.
8. Verigo M. F., Kogan A. Ya. Vzaimodeystvie puti i podvizhnogo sostava. M.: Transport, 1986. 559 s.
9. Amelin S. V., Yakovleva T. G., Shul'ga V. Ya. Osnovy ustroystva i raschetov zheleznodorozhnogo puti. M.: Transport, 1990. 367 s.
10. Otchet o nauchno-issledovatel'skoy rabote «Vypolnenie vtorogo etapa ispytaniy dlya formirovaniya dannyh po sravneniyu dinamicheskogo vozdeystviya (v tom chisle sil, napryazheniy v elementah verhnego stroeniya puti i zemlyanogo polotna, parametrov vibracii) na uchastkah puti s razlichnym gruzooborotom dlya vagonov s osevoy nagruzkoy 25 ts na uchastkah Oktyabr'skoy zheleznoy dorogi». SPb.: PGUPS, 2023. 219 s.
11. Otchet po rabote «Optimizaciya vzaimodeystviya v sisteme «koleso — rel's», razrabotka i aktualizaciya normativnyh dokumentov OAO «RZhD» v ramkah povysheniya nesuschey sposobnosti i ekspluatacionnogo resursa verhnego stroeniya puti». SPb.: PGUPS, 2023. 303 s.
12. Kremer N. Sh. Teoriya veroyatnostey i matematicheskaya statistika: uchebnik dlya studentov vuzov, obuchayuschihsya po ekonomicheskim special'nostyam. 3-e izd., pererab. i dop. M.: YuNITI-DANA, 2010. 551 s.
13. Koks D., L'yuis P. Statisticheskiy analiz posledovatel'nosti sobytiy / per. s angl. I. A. Mahovoy i V. V. Rykova, pod red. N. P. Buslenko. M.: Mir, 1969. 312 s.
14. Shorohova I. S., Kislyak N. V., Mariev O. S. Statisticheskie metody analiza: uchebnoe posobie. Ekaterinburg: Izd‑vo Ural. un-ta, 2015. 300 s.
15. RD 26.260.004-91, metodicheskie ukazaniya. Prognozirovanie ostatochnogo resursa oborudovaniya po izmeneniyu parametrov ego tehnicheskogo sostoyaniya pri ekspluatacii.
