A probabilistic estimate of the vertical dynamic forces acting on the track, in the model of a three-layer beam under the influence of a four-axle freight car
https://doi.org/10.21780/2223-9731-2018-77-2-98-103
Abstract
The article contains a method for determining the ma-the permanent way as deflections, angles of section rotation, bending trix of mutual spectral densities of vertical dynamic forces acting on a moments, transverse forces, stresses of its three-layer structures. railway track, depending on its spectrum of irregularities. It will allow to Mathematical model of track oscillations is used for calculations make a more accurate calculation of the mean values and mean-square as a construction containing three infinitely long beams, the lower deviations of vertical dynamic forces, as well as such characteristics of of which lies on the modified Winkler base. Authors present formulas for finding amplitude-frequency characteristics connecting vertical deflections of structural layers and vertical dynamic load acting on a track. A method is described for finding a matrix of mutual spectral densities of vertical dynamic forces acting on a track having real deviations from its position in the profile, with the passage through it of a four-axle freight car. Considered example finds the amplitude-frequency characteristic that connects the vector of dynamic forces in the contacts of wheels and rails with the vector of vertical displacements of wheel centers for the model of a four-axle car. Concluding authors give the results of calculations of the amplitude-frequency characteristic of the elements of the matrix of mutual spectral densities of vertical dynamic forces acting on the track. The received statistical estimations can be used at calculations of service life of ballastless track constructions and loading on roadbed.
About the Authors
S. V. Mikhaylov
Joint Stock Company “Railway Research Institute” (JSC “VNIIZhT”)
Russian Federation
Russian Federation
M. M. Gonik
Joint Stock Company “Railway Research Institute” (JSC “VNIIZhT”)
Russian Federation
Russian Federation
References
1. Misharin A. S. General'naya skhema — osnova ustoychivogo razvitiya zheleznodorozhnogo transporta [The General Scheme is the basis for sustainable development of railway transport]. Zheleznodorozhnyy transport, 2016, no. 5, pp. 11 – 14.
2. Pekhterev F. S. S uchetom prognozov sotsial'no-ekonomicheskogo razvitiya strany [Taking into account the forecasts of the country's socio-economic development]. Zheleznodorozhnyy transport, 2016, no. 5, pp. 15 – 19.
3. Dydyshko P. I., Ol'khina S. V. Osnovnye polozheniya proektirovaniya zemlyanogo polotna vysokoskorostnykh zheleznodorozhnykh liniy [Basic provisions for the design of the roadbed for high-speed railway lines]. Vestnik VNIIZhT [Vestnik of the Railway Research Institute], 2017, Vol. 76, no. 6, pp. 362 – 370. DOI: http://dx.doi.org/10.21780/2223-9731-2017-76-6-362-370.
4. Gapanovich V. A. Voprosy vzaimodeystviya podvizhnogo sostava i infrastruktury pri tyazhelovesnom dvizhenii [Issues of the interaction of rolling stock and infrastructure under heavy haul ope ration]. Zheleznodorozhnyy transport, 2016, no. 10, pp. 10–15.
5. Muginshtein L. A., Semechkin A. E. Nekotorye problemy obespecheniya bezopasnosti dvizheniya poezdov povyshennoy massy i dliny s raspredelennoy tyagoy [Some problems of ensuring the safety of train movement of increased mass and length with distributed traction]. Voprosy tekhnicheskogo i tekhnologicheskogo obespecheniya bezopasnosti dvizheniya poezdov povyshennoy massy i dliny. Sb. trudov VNIIZhT [Issues of technical and technological security for the movement of trains of increased mass and length. Proc. of works of VNIIZhT], Moscow, Intext Publ., 2007, pp. 5–9.
6. Kogan A. Ya., Savin A. V. Metodika opredeleniya raschetnogo sroka sluzhby bezballastnogo puti [Method for determining design life of ballastless way]. Vestnik VNIIZhT [Vestnik of the Railway Research Institute], 2017, Vol. 76, no. 1, pp. 3 – 9. DOI: http://dx.doi.org/10.21780/2223-9731-2017-76-1-3-9.
7. Savin A. V. Vybor konstruktsii puti dlya vysokoskorostnogo dvizheniya [Choosing a track design for high-speed traffic]. Vestnik VNIIZhT [Vestnik of the Railway Research Institute], 2014, no. 1, pp. 55 – 59.
8. Savin A. V., Razuvaev A. D. Sfery primeneniya bezballastnogo puti [Spheres of application of the ballast-free track]. Tekhnika zheleznykh dorog, 2016, no. 3, pp. 32 – 41.
9. Savin A. V. Itogi ispytaniy bezballastnogo puti [Test results of the ballast-free track]. Tekhnika zheleznykh dorog, 2017, no. 1, pp. 26 – 31.
10. Kogan A. Ya., Voytov I. O., Levinzon M. A., Gavrilov V. M., Perel’shtein A. L. Vozdeystvie ekipazha na put' pri prostranstvennykh kolebaniyakh podvizhnogo sostava: opisanie programmy [Impact of the carriage on the track with spatial variations of the rolling stock: description of the program]. Informatsionnyy byulleten' VNTI-Tsentr GOSFAP [Information bulletin VNTI-Center GOSFAP], 1985, no. 4/67, 40 p.
11. Baraboshin V. F. Osnovnye parametry novoy konstruktsii puti metropolitenov s povyshennymi vibrozashchitnymi svoystvami [The main parameters of the new design of the metro routes with increased vibro-protective properties]. Trudy VNIIZhT [Proc. of the VNIIZhT]. Moscow, Transport Publ., 1981, no. 630, pp. 26 – 53.
12. Kogan A. Ya. Dinamika puti i ego vzaimodeystvie s podvizhnym sostavom [The dynamics of the track and its interaction with the rolling stock]. Moscow, Transport Publ., 1997, 326 p.
13. Kurbatskiy E. N. Otsenka effektivnosti vibroizoliruyushchikh ustroystv v zheleznodorozhnykh tonnelyakh: II mezhvuz. sb. nauch. tr. MIIT [Evaluation of the effectiveness of vibration isolation devices in railway tunnels: II interuniversity collection of scientific papers MIIT]. Moscow, 1983, no. 720, pp. 19 – 21.
14. Danovich V. D. Statsionarnye kolebaniya beskonechno dlinnoy balki, lezhashchey na uprugom osnovanii, pod deystviem dvizhushcheysya garmonicheskoy nagruzki: mezhvuz. sb. nauch. tr. DIIT [Stationary oscillations of an infinitely long beam lying on an elastic base, under the action of a moving harmonic load: the interuniversity collection of scientific papers DİIT]. Dnepropetrovsk, 1978, no. 199/25, pp. 135 – 141.
15. Levin B. R. Teoreticheskie osnovy staticheskoy radiotekhniki: v 3-kh kn. Kn.1. [Theoretical foundations of static radio engineering: in 3 books. Book 1]. Moscow, Sov. radio Publ., 1974, 250 p.
16. Lenning J. H., Bettin R. G. Sluchaynye protsessy v zadachakh avtomaticheskogo upravleniya [Random processes in problems of automatic control]. Moscow, International Literature Publ., 1958, 388 p.
17. Garg B. K., Dukkipati R. V. Dinamika podvizhnogo sostava [Dynamics of rolling stock]. Moscow, Transport Publ., 1988, 392 p.
18. Kogan A. Ya., Krepogorskiy S. S., Shinkarev B. S. Raschety zheleznodorozhnogo puti na vertikal'nuyu dinamicheskuyu nagruzku [Calculations of the railway track for vertical dynamic loading]. Trudy VNIIZhT [Proc. of the VNIIZhT]. Moscow, Transport Publ., 1973, no. 502, 80 p.
19. Arnol’d V. I. Matematicheskie metody klassicheskoy mekhaniki [Mathematical methods of classical mechanics]. Moscow, Nauka Publ., 1989, 472 p.
Review
For citations:
Mikhaylov S.V., Gonik M.M. A probabilistic estimate of the vertical dynamic forces acting on the track, in the model of a three-layer beam under the influence of a four-axle freight car. RUSSIAN RAILWAY SCIENCE JOURNAL. 2018;77(2):98-103. (In Russ.) https://doi.org/10.21780/2223-9731-2018-77-2-98-103
Views:
687
.jpg)
Email this article 