Evaluation of dynamic characteristics of earth dams in spatial statement

The article provides a mathematical model, approach, and technique for figuring out an earth dam's dynamic properties in a spatial statement while taking the structure's design elements and hydrostatic water pressure into account. Spatial eigenfrequencies are determined and modes of vibration of three earth dams of different heights are constructed. As a result of calculations, it was discovered that a high dam's frequencies fall between a relatively low-frequency region of mutually influencing frequencies close to each other; as the height of the dam decreases, the values of the corresponding frequencies increase and their spectrum expands; for dams located in a narrow alignment, the placement of the left and right banks significantly affects the accuracy of results when estimating the natural frequencies and modes of vibration of the dam, hence a spatial calculation model of the structure is required. It has been determined that a spatial model of the construction must be used for dams situated in limited alignments, such as the Gissarak dam.