According to most theoretical and experimental researches, wave models quite fully and accurately describe the process of foundation vibration in the soil ground. Thus, solutions obtained for the vibration of an infinite plate with a circular cut are successfully used today to determine the amplitude-frequency characteristics of the pile foundations; however, the results of the cases with more than one cut are practically needed. In this paper, analytical expressions are found for dynamic stiffness within the wave model framework regarding the vertical vibrations of an infinitely thin plate with circular cuts, their mutual alignment being regarded. Determined expressions take into account the distance between piles located in a row or in a group. Obtained results can be used for the calculations of amplitude-frequency characteristics of pile foundations.