Issue №2, Vol. 23
Stepanov A., Pitukhin E. Mathematical model of a «washboard» — type unevenness formation // Resources and Technology. 2026. №2, Vol. 23. P. 1‒12.
DOI: 10.15393/j2.art.2026.9323
Mathematical model of a «washboard» — type unevenness formation
| Stepanov Artem | Petrozavodsk State University, stepanov@petrsu.ru |
| Pitukhin Evgeny | Petrozavodsk State University, eugene@petrsu.ru |
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Key words: road surface probability of destruction washboard |
Summary: Improving the quality of road surfaces of logging roads and reducing the cost of their maintenance is an urgent problem. Heavy traffic of logging road trains significantly reduces the service life of coatings. Damage in the form of wear is a most common one on transitional coating, it may be a decrease in thickness, subsidence, depths, continuous potholes or “washboard” type road unevenness. Among the deformations listed above, the most common one is «washboard» type road unevenness. This type of destruction is poorly studied and is rather incomprehensible as for following the processes occurring during the development of this type of road unevenness. For example, in the Republic of Karelia, the total length of roads with non-capital pavement is 9430 km, or 72.9 % of the total length of roads in the region. The paper considers a mathematical model of the formation of washboard-type unevenness on both logging and public roads with unpaved and transitional coatings in the form of macadam or sand-gravel mixtures. In the mathematical model presented in this article, the issue of “washboard” span was solved by using regression equations. As a result, we have obtained a mathematical model of the process of formation of a «washboard» type unevenness, which takes into account the speed of vehicles, the characteristics of the suspension part of cars, the load on the pavement, the number of traffic load cycles as well as the characteristics of the coating material. All of the above parameters allowed us to determine the step, the span of the «washboard”, its formation rate and thereby predict the maintenance of logging roads.For example, in the Republic of Karelia, the total length of roads with non-capital pavement is 9430 km, or 72.9% of the total length of roads in the region.
The paper considers a mathematical model of the formation of washboard-type unevenness on both logging and public roads with unpaved and transitional coatings in the form of crushed stone and sand-gravel mixtures.
In the mathematical model developed in the paper presented in this article, the issue of comb span was solved by using regression equations.
As a result, we have obtained a mathematical model of the process of formation of a "comb" type unevenness, which takes into account the speed of vehicles, the characteristics of the suspension part of cars, the load on the pavement, the number of cycles of loading the roadway by passing cars, as well as the characteristics of the coating material. All of the above parameters allow you to determine the step, the span of the comb, the growth rate of the comb and thereby predict the maintenance of logging roads. |
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