Mathematical model of the working process of cone-shaped roller

Abstract

The choice of the design type of sealing machines depends on many factors: the type of compacted material (soil, crushed stone, gravel, slag, rock coarse soils, asphalt concrete, concrete); the state of the soil (optimal humidity, waterlogged, watering, bulk, subsidence); the thickness of the compacted layers (layer-by-layer compaction thin layers, compaction immediately to the entire thickness of the filling to the design mark) and the working conditions of the machine (cramped working conditions, a wide range of works). The article presents the design of the unit for deep soil compaction developed by the specialists of the Institute of hydrodynamics “Siberian branch of the Russian Academy of Sciences” (SB RAS) and its design and technological branch. Based on the assessment of the advantages and disadvantages of the unit for deep compaction of the soil, a new technical solution based on a cone roller is proposed, which provides more favo­rable conditions for removing air from the massif of the compaction material. A mathematical model of the cone roller using the method of decomposition of the periodic function in the Fourier series, which determined the constant force and the sum of harmonic forces in the operation of the cone working body. The main working body of cone-shaped rolling machines for soil bases of roads are rollers with variable diameter in height. When rolling, the working body acts on
the sealing surface in a narrow zone. The compressive force will be maximum in the center and decrease to zero at the edges of the sealing zone. The study considers the design of a physical model of a cone-shaped roller in the form of a single roller and a self-centering working body with several rollers