Development of a Mathematical Model of Compaction Processes Road Layer

Purpose of research. The purpose of this work is to develop a mathematical model that generalizes the power characteristics of rollers that affect the compaction process, taking into account changes in the properties of the compacted material. The proposed mathematical model makes it possible to simulate the process of compaction of a material layer with different compaction methods and changes in the properties of the compacted material.

Objectives. To achieve this goal, it is necessary to establish the influence of the parameters of the roller roller, taking into account the sealing method used, on the magnitude of stresses in the zone of its contact with the surface of the material layer. The efficiency of the sealing process depends on the compliance of the stresses in the contact zone of the roller roller with the characteristics of the material, which are determined on the basis of experimental data. Methods. When developing a mathematical model of compaction processes, mathematical modeling methods were used to determine stresses in the contact zone of the roller roller with the surface of the compacted layer. The establishment of patterns of changes in the properties of the compacted material under the influence of load was carried out on the basis of rheological studies, the results of which obtained the dependence of the characteristics of the mixture layer (coefficients of stiffness and viscous resistance) on the acting load. To clarify the obtained results of modeling the effect of load and material properties on the quality of work, experimental studies were carried out on the CRT-RC-H2 model stand, according to the results of which a connection was established between the deformation of the layer and its compaction coefficient.

Results. The proposed mathematical model makes it possible to simulate the process of compaction of the pavement layer when using different rollers and changing the characteristics of the material layer during the compaction process. According to the results of the study, a relationship was established between the quality of the seal (compaction coefficient) and the deformation of the layer under load.

Conclusion. 1. Based on the results of mathematical modeling, analytical dependences have been established for calculating contact stresses in the contact zone of the rigid roller roller with the surface of the compacted material layer.

2. According to the results of rheological tests, the connections between the deformation and the characteristics of the compacted layer of the material under the operating load are established.
3. The relationship between the deformation of the mixture layer and the compaction coefficient of the asphalt granulate layer is established.
4. The presented mathematical model of the compaction process makes it possible to simulate the technology of compaction of layers of pavement.

1. Kharkhuta N.Ya. [Questions of the theory of road surface compaction]. Uplotnenie zemlyanogo polotna i dorozhnykh odezhd. tr. Soyuzdornii [Compaction of earth bed and road pavements. Proc. of Soyuzdornia. Soyuzdornia]. Moscow, 1980, pp. 64-71 (In Russ.).

2. Permyakov V.B., Zakharenko A.V. Obosnovanie velichiny kontaktnykh davlenii dlya uplotneniya asfal'tobetonnykh smesei [Justification of the contact pressure value for compaction of asphalt concrete mixtures]. Stroitel’nye i dorozhnye mashiny = SDM journal, 1989, no. 5, pp. 12-13.

3. Permyakov V.B. Effektivnost' uplotneniya asfal'tobetonnykh smesei v dorozhnykh pokrytiyakh [Efficiency of compaction of asphalt-concrete mixtures in road pavements]. Stroitel'nye materialy = Construction Materials, 2005, no.10, pp. 8-9.

4. Tsupikov S.G. Spravochnik dorozhnogo mastera. Stroitel'stvo, ekspluatatsiya i remont avtomobil'nykh dorog [Reference book of a road master. Construction, operation and repair of motorways]; ed. by S.G. Tsupikov. Moscow, Infra-Engineering Publ., 2009, 924 p.

5. Kalgin Yu.I., Strokin A.S., Tyukov E.B. Perspektivnye tekhnologii stroitel'stva i remonta dorozhnykh pokrytii s primeneniem modifitsirovannykh bitumov [Perspective technologies of construction and repair of road surfaces with the use of modified bitumen]. Voronezh, 2014, 223 p.

6. Rudenskiy A.V. [Cold asphalt concrete. Possibilities of extending the season of construction and repair works]. Novosti v dor. dele. Nauch.-tekhn. inform. sb. Informavtodor [News in dor. business: Scientific and technical inform. sb. Informavtodor]. Moscow, 2006, is. 1, pp. 11 - 42 (In Russ.).

7. Kalgin Yu.I. Dorozhnye bitumomineral'nye materialy na osnove modifitsi-rovannykh bitumov [Road bitumen-mineral materials based on modified bitumen]. Voronezh, 2006, 272 с. 8. Zubkov A.F., Andrianov K.A., Antonov A.I., Odnolko V.G. Tekhnologiya stroitel'stva i remonta dorozhnykh pokrytii nezhestkogo tipa s uchetom temperaturnykh rezhimov asfal'tobetonnykh smesei [Technology of construction and repair of non-rigid road pavements taking into account the temperature conditions of asphalt concrete mixtures]. Tambov, 2017. 316 p.

8. Senibabnov S.A., Arkhelov I.S., Zubkov A.F., Andrianov K.A., Makarov A.M. Svidetel'stvo o gosudarstvennoi registratsii programmy dlya EVM [Certificate of state registration of the computer programme No. 2020611722 "Calculation of stresses in the contact zone of the roller with the compacted material"].

9. Zubkov A.F., Andrianov K.A., Makarov A.M., Piletsky M.M. Certificate of State Registration of Computer Programme No. 2017663676 Raschet napryazhenii v zone kontakta val'tsa s uplotnyaemym materia-lom ["Calculation of Material Deformations under Dynamic Load Action"].

10. Pakhomova E.G., Zubkov A.F., Andrianov K.A., Monastyrev P.V. Influence of thickness and granulometric composition of granular asphalt on its strength characteristics when placing into the road pavement. Journal of applied engineering science. 2020, vol. 18, no. 2, pp. 192-197.

11. Makaya L.M., Zubkov A.F., Andrianov K.A. [Development of the mathematical model of the processes of compaction of the pavement layer]. Aktual'nye problemy komp'yuternogo modelirovaniya konstruktsii i sooruzhenii. Tezisy dokladov VIII-go mezhdunarodnogo simpoziuma [Actual problems of computer modelling of structures and constructions. Theses of reports of the VIII-th International Symposium].Tambov, 2023, pp. 316-318 (In Russ.).

12. Zarapina L.S., Andrianov K.A., Zubkov A.F. Vliyanie svoistv materiala, poluchaemogo pri kholodnom frezerovanii pokrytii nezhestkogo tipa, na deformatsiyu sloya pri ustroistve dorozhnoi odezhdy [Influence of the material properties obtained by cold milling of non-rigid type pavements on the layer deformation during pavement construction]. Nauchnyi zhurnal stroitel'stva i arkhitektury = Scientific Journal of Construction and Architecture, 2022, no. 1 (65), pp. 85-95.

13. Senibabnov S.A., Andrianov K.A., Zubkov A.F., Kuznetsov A.A. Opredelenie reologicheskikh kharakteristik asfal'togranulyata pri ustroistve sloev dorozhnoi odezhdy [Determination of rheological characteristics of asphalt granulate in the process of pavement layer construction]. Vestnik PGUAS: stroitel'stvo, nauka i obrazovanie = Vestnik PSUAS: Construction, Science and Education, 2021, no. 1 (12), pp. 37-42.

14. Senibabnov S.A., Andrianov K.A., Zubkov A.F. Vliyanie tolshchiny sloya asfal'togranulyata n vybor paramtrov katkov pri ukreplenii obochin avtomobil'nykh dorog [Influence of the asphalt granulate layer thickness and the choice of roller parameters for road shoulder reinforcement]. Privolzhskii nauchnyi zhurnal = Volga Region Scientific Journal, 2020, no.4 (56), pp. 163-173.

15. Makaya L.M., Senibabnov S.A., Andrianov K.A., Zubkov A.F. [Efficiency of asphalt granulate application at repair and reconstruction of motor roads]. Ustoichivoe razvitie regiona: arkhitektura, stroitel'stvo i transport. Materialy IX-oi Mezhdunarodnoi nauchnoprakticheskoi konferentsii [Sustainable development of the region: architecture, construction and transport. Proceedings of the IX-th International Scientific and Practical Conference]. Tambov, 2022, pp. 346-349 (In Russ.).

16. Zubkov A.F. Obosnovanie parametrov kontakta metallicheskogo val'tsa katka s uplotnyaemym materialom [Justification of the contact parameters of the roller metal roller with the compacted material]. Nauchnyi vestnik Voronezhskogo gosudarstvennogo arkhitekturno- stroitel'nogo universiteta. Seriya: Dorozhno-transportnoe stroitel'stvo = Scientific Bulletin of the Voronezh State University of Architecture and Civil Engineering. Series: Road and Transport Construction, 2004, no. 3, 77 p.

17. Piletskii M.E., Andrianov K.A., Zubkov A.F. [Influence of the load-carrying capacity of vehicles when performing repair works of road pavements by means of the jet-injection method]. Russian Journal of Building Construction and Architecture, 2020, no. 1 (45), pp. 42-54.

18. Zarapina L.S., Andrianov K.A. Vliyanie nagruzki na modul' uprugosti sloya iz asfal'togranulyata pri vosstanovlenii pokrytiya dorozhnoi odezhdy [Load effect on the elasticity modulus of the asphalt granulate layer at the road pavement rehabilitation]. Nauchnyi zhurnal stroitel'stva i arkhitektury = Scientific Journal of Construction and Architecture, 2022, no. 1 (65), pp. 96-105.

19. Zubkov A.F., Andrianov K.A., Senibabnov S.A. [Modelling of asphalt granulate compaction processes using experimental data]. Aktual'nye problemy komp'yuternogo modelirovaniya konstruktsii i sooruzhenii. Tezisy dokladov VIII-go mezhdunarodnogo simpoziuma [Actual problems of computer modelling of structures and constructions. Theses of reports of the VIII-th International Symposium]. Tambov, 2023, pp. 293-295 (In Russ.).