Investigation of natural vibrations of needles embedded in an elastic base

UDC 534-16
Publication date: 27.12.2021
International Journal of Professional Science №12-2021

Investigation of natural vibrations of needles embedded in an elastic base

Varlamova Alla
Ph. D, Associate Professor of the Department of
Mechanical Engineering Technology
of the Dimitrovgrad Engineering and Technological Institute
of the National Research Nuclear University MEPhI
Abstract: In this paper, small oscillations of needles on an elastic base are considered, taking into account dissipation in the case of a suddenly applied force, an equation of motion and its solution are proposed, the dynamism coefficient and its max-ima are determined.
Keywords: oscillations, equation of motion, needle, base, dynamism coefficient.


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.

  1. 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 [1]

Подробнее…

References

1. Pisarenko, G. S. Matchmaker on the resistance of materials [Text]: text-book.posobie / G. S.Pisarenko [et al.]. - Kiev.:Naukova dumka,1988-736 p..
2. https://www.dissercat.com/content/razrabotka-i-issledovanie-igolchatoi-garnitury-chesalnykh-mashin
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.