magazinelogo

Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 139602 Total View: 1750813
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2020.09.002

Deformation of Elastic Damping Bodies, Hysteresis Friction

Leon Makharadze, Levan Gavasheli *

Academy of Physical and Mathematical Sciences, Georgia.

*Corresponding author: Levan Gavasheli

Published: July 16,2020

Abstract

The article considers the issue of deformation of elastically damping bodies, taking into account the influence of hysteresis energy losses of forced vibrations. It was found than the longitudinal vibrations of nonlinear mechanical systems with distributed parameters mainly depend on the generalized stiffness coefficient, the natural frequency of the system, and on the increment of the driving force. A monotonic change in the stiffness coefficient of elastic-damping materials during hysteretic friction leads to an automatic change in the natural frequency as a whole.

References

[1] Gavasheli L. Sh. (2006). Theory of vibration protection of nonlinear mechanical systems. Metznireba, Tbilisi, p. 272.

[2] Makharadze L. I. (1996). Protection of hydraulic systems against water hammer. Metznireba, Tbilisi, p. 150.

[3] GavasheliL. Sh., Makharadze L. I. (2016). Transverse damping of main pipelines of hydrotransport systems under the influence of parametric forces. Georgian engineering news, №2, pp. 59-62.

[4] Panovko Ya. G. (1980). Introduction to the theory of mechanical vibrations. Science, Moscow, pp. 140-150.

How to cite this paper

Deformation of Elastic Damping Bodies, Hysteresis Friction

How to cite this paper: Leon Makharadze, Levan Gavasheli. (2020) Deformation of Elastic Damping Bodies, Hysteresis Friction. Journal of Applied Mathematics and Computation, 4(3), 57-63.

DOI: http://dx.doi.org/10.26855/jamc.2020.09.002