
The article describes the study of natural bending oscillations in packer systems used on strings in offshore production wells. To do so the Lagrange's variational method has been applied. This study is performed on the first approximation using some simplifying assumptions to analyze elastic bending deformations of the packing elements in the down hole packer systems (which isolate production strings with two packers set on a vertical section of the string and horizontal section of the string) and to study natural bending oscillations in the packer systems operated in directional offshore production wells.