A model of pile driving by multiple impacts of falling hammer

Calculations related to pile driving play an important role in construction. Therefore, corresponding processes are controlled by regulatory documents, including the necessary formulas, which are accompanied by numerous tables and graphs, allowing the use of techniques in specific conditions of construction. The basis of such applied methods are the results of research in mechanics; the results of such studies are widely presented in the literature. This article is made within the framework of such studies. The article presents an approximate approach based on the evaluation of the real values of the parameters that determine the process of driving the pile. The proposed approach allowed to obtain an approximate formula to calculate the motion of the pile in soil by successive blows of the hammer falling freely. The following ways to analyze and improve models within this approach are outlined: (1) analysis of the accuracy of the proposed model by its presentation with the results of experiments and calculations using other models as well as with recommendations of normative instruments; (2) generalization of the model for the case when the mechanical properties of the soil vary depending on the depth of immersion into the soil.