Mathematical Modeling of Vibrations of an Elastic Shell Under the Influence of Ground

Nowadays, in the era of modern technologies, when the route of a cable or pipeline can be reflected using $\pmb{3}\mathbf{D}$ modeling with the GPS reference, unfortunately, the question of whether the connection is hidden on a particular section of the structure or not remains extremely urgent. Prospecting, laying new communications with digging trenches and channels, laying hidden messages by the method of horizontally directed drilling (HDD) are often exposed to failures or performed with significant financial costs due to the lack of information or accidental damaging of power cable lines and pipelines. At the same time, the scope of the tasks of contractors is limited not only by the performance of construction and repair work, but also by providing detailed information (plans, maps and diagrams) about the place of lying of the engineering networks. To avoid such situations, it is necessary to monitor the location of engineering communications. In this article, the new method for monitoring the location of buried pipelines was proposed, and mathematical modeling was performed in the ANSYS program for finite elements, which confirms the effectiveness of the proposed technical solution.