THE SUBGRADE HETEROGENEITY CONSIDERATION OF A RAILWAY TRACK WHEN DETERMINING ITS STRESS-STRAIN STATE
DOI:
https://doi.org/10.15802/stp2018/152920Keywords:
stress-strain state, subgrade, railway track, stress, displacement, settlingAbstract
Purpose. Increase of the speed and train carrying capacity causes the increase in the load on the railway track and, in turn, loads on the subgrade. This makes it necessary to clarify the calculation methods, both the upper structure and the subgrade of the railway track. The purpose of the paper is the development of a method for determining the stress-strain state of railway subgrade on the basis of taking into account the limited distribution capacity, the extremity of the deformation area along the subgrade depth and its heterogeneity. Methodology. Based on the mixed method of B. N. Zhemochkin, according to which the actual curvilinear resistance diagram on the lower flat of the sleepers is replaced by a stepwise one, the joint operation of the rail-sleeper grate and the subgrade of the railway track is considered. Findings. The development of an axisymmetric columnar model of the subgrade is considered, which takes into account such important properties of the subgrade as the limited distribution capacity and the extremity of the deformation area on heterogeneous (layered) base. Based on the discrete method of
L. P. Vinokurov and the subgrade axisymmetric columnar model, the equations for displacements and stresses for i-th foundation layer have been obtained. As a result of differential equation system solution of the discrete method by a numerical method in which the functions of the matrices are represented by series, the vertical and radial displacements of the layered base are determined, after which the normal and shearing stresses at the base are determined. The implementation of B. N. Zhemochkin mixed method allows to determine the resistance from the bottom of sleepers and the deflections of the central sections of the sleepers-beams. Originality. Method for calculating the stress-strain state of railway subgrade during their joint operation on the basis of an axisymmetric columnar model has been developed. At this the limited distribution capacity, the extremity of the deformation area and the heterogeneity according to the depth of the base have been taken into account. Practical value. The results obtained make it possible to increase the accuracy of design solutions in the design of the railway subgrade, which in turn, resulting in increased reliability and service life of the railway track.
References
Bondarenko, I. O. (2011). Rekomendatsii shchodo proektuvannia konstruktsii nyzhnoi budovy zaliznychnoi kolii. Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, 36, 100-103. (in Ukraіnian)
Bondarenko I. O. (2011). Shchodo zabezpechennia yakosti proektuvannia konstruktsii zemlianoho polotna zaliznychnoi kolii. Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, 37, 120-123. (in Ukraіnian)
Vinokurov, L. P., & Telipko, L. P. (1977). Reshenie dinamicheskoy kontaktnoy zadachi dlya balok, lezhashchikh na vesomom podatlivom sloe, s privlecheniem osesimetrichnoy stolbchatoy modeli. Izvestiya vysshikh uchebnykh zavedeniy. Stroitelstvo i arkhitektura,2, 31-36. (in Russian)
Vinokurov, L. P., & Telipko, L. P. (1978). Reshenie kontaktnoy zadachi dlya staticheski i dinamicheski nagruzhennykh fundamentov na podatlivom osnovanii, predstavlennom osesimmetrichnoy stolbchatoy modelyu. Soprotivlenie materialov i teoriya sooruzheniy, XXXII, 31-38. (in Russian)
Vinokurov, L. P. (1956). Pryamye metody resheniya prostranstvennykh i kontaktnykh zadach dlya massivov i fundamentov. Kharkov: Izdatelstvo Kharkovskogo universiteta. (in Russian)
Zhemochkin, B. N., & Sinitsyn, A. P. (1962). Prakticheskie metody rascheta fundamentnykh balok i plit na uprugom osnovanii. Moscow: Gosstroyizdat. (in Russian)
Petrenko, V. D., Alkhdur, A. M. M., Tyutkin, A. L., & Kovalevich, V. V. (2012). Issledovanie parametrov modernizirovannogo zemlyanogo polotna. Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, 41, 164-169. (in Russian)
Kurhan, D. M. (2016). The Basis of Mathematical Description for Wave Model of Stresses Propagation in Railway Track. Science and Transport Progress, 5(65), 101-113. doi: 10.15802/stp2016/84032 (in Ukraіnian)
Petrenko, V. D., Huzchenko, V. T., & Alkhdur, A. M. M. (2010). The Study of the Influence of the Deformation Characteristics of the Layer of Reinforcement on Vat Railway Embankment at the Entrance to the Bridge Crossing. Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, 32, 101-105. (in Ukraіnian)
Petrenko, V. D., Yampolskiy, D. O., & Sviatko, I. O. (2013). Comparative analysis of calculation models of railway subgrade. Science and Transport Progress, 4(46), 56-62. doi: 10.15802/stp2013/16619 (in Ukraіnian)
Podolskiy, Y. N., & Pustynnikov, V. I. (1961). O matrichnom metode issledovaniya i resheniya odnorodnoy sistemy lineynykh obyknovennykh differentsialnykh uravneniy s postoyannymi koeffitsientami na elektronno-tsifrovykh mashinakh. Trudy KhISI, 17, 89-100. (in Russian)
Petrenko, V. D., Huzchenko, V. T., Tiutkin, O. L., & Alkhdur, A. M. M. (2009). Comparative Analysis of the Stress-Strain State of the Two Variants of Reinforcement Design Subgrade. Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, 29, 107-111. (in Ukraіnian)
Tyutkin, O. L. (2008). The Theoretical Basis for Determining the Stress-Strain State of the Clay Rock Mass as a Visco-Elasto-Plastic Environment. Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, 21, 201-206. (in Ukraіnian)
Yaretskaya, N. A. (2018) Contact problem for the stiff annular punch and semispace with initial (residual) stresses. International Applied Mechanics, 5(54), 55-60. (in Russian)
Connolly, D., Giannopoulos, A., & Forde, M. C. (2013). Numerical modelling of ground borne vibrations from high speed rail lines on embankments. Soil Dynamics and Earthquake Engineering, 46, 13-19. doi: 10.1016/j.soildyn.2012.12.003 (in English)
Evtushenko, S. I., & Krakhmal’nyi, T. A. (2017). Investigation of the Behavior of Strip Foundations with Complex Configuration of the Base. Soil Mechanics and Foundation Engineering, 54(3), 169-172. doi: 10.1007/s11204-017-9452-6 (in English)
Glushkov, V., & Bartolomey, A. (2016). Influence of the form and size of the isolated foundations on the stress-strain state of the soil base. Journal of Applied Engineering Science, 14(1), 28-35. doi: 10.5937/jaes14-9136 (in English)
Lugovoi, P. Z., Meish, V. F., & Meish, Y. A. (2016). Nonstationary Dynamics of a System Consisting of a Cylindrical Shell and a Soil Medium of Periodic Structure. International Applied Mechanics, 52(4), 350-353. doi: 10.1007/s10778-016-0758-2 (in English)
Motra, H. B., Stutz, H., & Wuttke, F. (2016). Quality assessment of soil bearing capacity factor models of shallow foundations. Soils and Foundations, 56(2), 265-276. doi: 10.1016/j.sandf.2016.02.009 (in English)
Petrenko, V. D., & Sviatko, I. O. (2015). Simulation of Subgrade Embankment on Weak Base. Science and Transport Progress, 4(58), 198-204. doi: 10.15802/stp2015/49286 (in English)
Petrenko, V. D., Tiutkin, O. L., Kulazhenko, O. M., & Alkhdour, A. M. M. (2015). The Basing of Stabilization Parameters of a Fortified Railway Bed. Science and Transport Progress, 1(55), 165-172. doi: 10.15802/stp2015/38269 (in English)
Downloads
Published
How to Cite
Issue
Section
License
Copyright and Licensing
This journal provides open access to all of its content.
As such, copyright for articles published in this journal is retained by the authors, under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0). The CC BY license permits commercial and non-commercial reuse. Such access is associated with increased readership and increased citation of an author's work. For more information on this approach, see the Public Knowledge Project, the Directory of Open Access Journals, or the Budapest Open Access Initiative.
The CC BY 4.0 license allows users to copy, distribute and adapt the work in any way, provided that they properly point to the author. Therefore, the editorial board of the journal does not prevent from placing published materials in third-party repositories. In order to protect manuscripts from misappropriation by unscrupulous authors, reference should be made to the original version of the work.