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The article describes a method for extracting piles from the soil using the multibarreled artillery recoiling systems. The method is based on the recoil of  guns during a shot and the rigid connection between the extracted pile and the recoiling parts of the guns. In order to describe the extraction of piles from the soil, we consider a tubular chopped powder. We propose mathematical models to calculate the dynamics of guns during a simultaneous shot from all the barrels and determine the amount of extraction of pile from the soil. The paper describes a technique for performing the necessary calculations, which is based on a phased solution of the Cauchy problem for the first and second shot periods. Numerical experiment shows the principal possibility to use the existing single-barreled   building  artillery systems  toextract piles from the soil. For modelling calculations of extracting piles from the soil, we use parameters of the installation for the shooting of anchors and piles, which is introduced into the industry  for the oil and gas field building.

Mathematical Models for Extracting Pile from the Soil with the Help of Multibarreled Artillery Systems