Nukeshev S.Slavov V.Karaivanov D.Balabekova A.Zhaksylykova Z.2024-07-102024-07-102024-07-102024-07-102018-01-011392-120710.5755/j01.mech.24.6.22464SCOPUS_ID:85062237424https://rlib.uctm.edu/handle/123456789/517The cultivation of crops is not only an important part of the economic sector of the state, but also the condition of food security of citizens. A key method of increasing yields is fertilizer in the soil. However, most machines cannot efficiently allocate and apply the fertilizer in the soil. In this regard, a dynamic model of the hopper of fertilizer applying machine is created. A methodology for determination of the natural frequencies of the mechanic system is proposed. Using matrix mechanics, equations for determining the kinetic and potential energy are derived. In the paper differential equations for description of forced small-amplitude vibrations of the system are composed and solved. Thanks to them the natural frequencies of the system are determined. The results are intended for research and optimization of a real machine, developed in KazATU – Astana, Republic of Kazakhstan.enArticle