Models equivalent in damping in experiments for determining the parameters of internal friction in materials

Cover Page

Cite item


The work is devoted to improving the methods of experimental determination of internal friction parameters in materials. The aim of the laboratory experiments is to obtain physical parameters of the material that allow to take into account the damping forces in a uniaxial stress state. The research is focused on the internal friction model, which is based on the use of the generalized Prandtl model, that gives frequency-independent internal friction and allowing for the dependence of internal friction on the level of time-varying stresses. Damped oscillations during pure bending are recorded on a specially made laboratory installation. The description of the installation, the reference points of which coincide with the fixed points of the realized form of natural oscillations, is provided. The algorithm of cameral processing of experimental data is obtained. It is proposed to use a virtual system equivalent in damping. This is a system with one dynamic degree of freedom. The involvement of an imaginary system permits, after performing tests of the sample for pure bending, to acquire data corresponding to stretching - compression. The technique grants the use of long samples, which reduces the negative effect of stress concentration in the anchorages. The damping equivalent scheme makes it possible to use samples with an arbitrary cross-section. The found damping parameters for low-carbon steel are given.

About the authors

Vladimir B. Zylev

Russian University of Transport

ORCID iD: 0000-0001-5160-0389

Doctor of Science (Technical), Professor, Head of the Department of Structural Mechanics

9 Obraztsova St, Moscow, 127994, Russian Federation

Pavel O. Platnov

Russian University of Transport

Author for correspondence.
ORCID iD: 0000-0002-9765-7417

PhD student, Department of Structural Mechanics

9 Obraztsova St, Moscow, 127994, Russian Federation


  1. Tyapin A.G. Generalization of the combined asymptotic method to problems with dynamic effects on the upper structure. Part III. Evaluation of the conservatism of the Rayleigh damping model when calculating the impact of an aircraft. Mechanics and Analysis of Constructions. 2016;(2):44–49. (In Russ.)
  2. Sorokin E.S. On the theory of internal friction at oscillations of elastic systems. Moscow: Gosstroizdat Publ.; 1960. (In Russ.)
  3. Sorokin E.S. Method of taking into account the inelastic resistance of a material when calculating structures for vibrations. In: Research on the Dynamics of Structures. Moscow: Gosstroizdat Publ.; 1951. p. 5–90. (In Russ.)
  4. Nicanor C., Ramona C.N., Petrica V., Iulian I., Maricel A. Experimental and theoretical results concerning internal friction investigation of a shape memory alloy based on copper. Metalurgia International. 2010;15(12):48–58.
  5. Gilmanova I.F., Smirnova T.V. Method of measuring internal friction in the material. Achievements of university Science. 2016;(20):117–123. (In Russ.)
  6. Khromov E.V., Khromov O.V., Khromov I.V. Experimental study of nonlinear character of the internal friction function for a steel beam. Fundamental and Applied Problems of Engineering and Technology. 2015;(5(313)):24–28. (In Russ.)
  7. Panovko Ya.G. Internal friction during vibrations of elastic systems. Moscow: Gosudarstvennoe Izdatel'stvo Fiziko-Matematicheskoi Literatury; 1960. (In Russ.)
  8. Zylev V.B., Platnov P.O. The use of fixed points in experimental research of the internal friction of material. Structural Mechanics of Engineering Constructions and Buildings. 2019;15(5):399–404. (In Russ.)
  9. Ishlinskiy A.Yu., Ivlev D.D. Mathematical theory of plasticity. Moscow. FIZMATLIT Publ.; 2003. (In Russ.)
  10. Zylev V.B., Grigoriev N.A. Generalized Prandtl model for accounting for internal friction forces. Structural Mechanics and Analysis of Constructions. 2011;(1(234)):58–62. (In Russ.)
  11. Zylev V., Platnov P. Experimental research of the dependence of damping parameters on the initial plastic deformation, stress level and frequency. Fundamental, Exploratory and Applied Research of the Russian Academy of Architecture and Construction on Scientific Support for the Development of Architecture, Urban Planning and the Construction Industry of the Russian Federation in 2019 (vol. 2). Moscow; 2020. p. 197–203.
  12. Alexandrov A.V., Potapov V.D., Zylev V.B. Dynamics and stability of elastic systems. Structural Mechanics (book 2). Moscow: Vysshaya Shkola Publ.; 2008.
  13. Zylev V.B., Stein A.V. Numerical solution of the problem of nonlinear oscillations of a system of threads. Structural Mechanics and Analysis of Constructions. 1986;(6):58–61. (In Russ.)
  14. Scerrato D., Giorgio I., Madeo A., Darve F., Limam A. A simple non-linear model for internal friction in modified concrete. International Journal of Engineering Science. 2014;80:136–152.

Copyright (c) 2022 Zylev V.B., Platnov P.O.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies