The aim of this work is to study the vibrations of needles embedded in an elastic base. To determine the dynamic coefficients in the first approximation, we represent the needle in the form of an elastic non-inertial beam, rigidly fixed at one end, carrying a concentrated mass at the point of application of the shock load.
- Materials and methods
The equation of small oscillations of such a system, taking into account the dissipation in the case of a suddenно applied force, will be as follows 
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3. Varlamova A.V. On the determination of the bedding coefficients of the base of needle sets. [Text]:/ Innovations in mechanical engineering. Collection of materials.- Penza, 2001-р.72-75.