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The influence of viscoelastic properties of the belt on its dynamic characteristics

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Category: Geotechnical and mining mechanical engineering, machine building

Last Updated on 24 July 2017

Published on 24 July 2017

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Authors:

O.I.Khytriak, Cand. Sc. (Tech.), Hetman Petro Sahaidachnyi National Army Academy, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

L.F.Dziuba, Cand. Sc. (Tech.), Assoc. Prof., Lviv State University of Life Safety, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

I.V.Kuzio, Dr. Sc. (Tech.), Prof., Lviv Polytechnic National University, Lviv, Ukraine

Abstract:

Purpose. The purpose of the article is to create a viscoelastic dynamic model of flexible axially-moving belt of different mechanisms considering the influence of the material mechanical properties on its dynamic characteristics in case of transverse vibrations.

Methodology. Methodology for flexible belt transverse oscillation investigation is based on asymptotical methods of nonlinear mechanics and wave theory of movement.

Findings. Analytical relations for amplitude and frequency of transverse vibration definition for flexible viscoelastic axially-moving belts are obtained in the research. The influence of viscous and elastic belt material properties on its frequency response is analyzed.

Originality. For the first time, based on a created dynamic model of flexible viscoelastic axially-moving belt, its dynamic performance during the transverse vibrations is identified analytically and the influence of material mechanical properties on these characteristics is studied

Practical value. The offered flexible belt transverse oscillation investigation method allows determining the influence of longitudinal movement speed and viscoelastic material properties on the main parameters of dynamic process. Obtained analytical relations can be the basis for engineering calculations of components and mechanisms, part of which are axially-moving flexible belts.

References

1. Chen, L.H., Zhang, W. and Liu Y.Q., 2007. Modeling of nonlinear oscillations for viscoelastic moving belt using generalized Hamilton’s principle. Journal of Vibration and Acoustics, 129(1), pp. 128–132.

2. Shpachuk, V.P., 2016. Effect of mutually amplifying action two coordinate shock loading in problems of dynamics of knots of machines. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 6(156), pp. 89‒94.

3. Chen Li-Qun, Chen Hao and Lim, C. W., 2008. Asymptotic analysis of axially accelerating viscoelastic string. International Journal of Engineering Science, 46, pp. 976–985.

4. Gregor Cepona, Lionel Maninb and Miha Boltezara, 2009. Introduction of damping into the flexible multibody belt-drive model: A numerical and experimental investigation, Journal of Sound and Vibration, 324, pp. 283–296.

5. Kuzio, I.V., Sokil, B.I., Andruhiv, A.I. and Sokil, M.B., 2009. Asymptotic approximation of wave processes in lengthy bodies which are characterized by longitudinal movement. The vibrations in engineering and technology, 3(55), pp. 24‒28.

6. Sokil, M.B. and Khytriak, O.I., 2011. The wave theory of motion in the study of vibrations of flexible drive and transport elements taking into account their longitudinal movement. Military technical collected articles, 1, pp. 102–105.

7. Khytriak, O.I., 2011. Generalization of the Van der Pol’s method on boundary value problems for the two-dimensional Klein-Gordon’s equation. Scientific Bulletin: Collection of scientific works UDLTU, 21(4), pp. 358–362.

8. Alspaugh, Mark, 2008. Myers Bulk Material Handling by Conveyor Belt 7, Society for Mining, Metallurgy and Exploration.

9. Agapov, M.S., Kuznetsov, E.B. and Shalashilin, V.I., 2008. Numerical solution of the strong nonlinear deformation problems in the Euler coordinates. In: Selected problems of the strength of modern engineering. Collection of scientific articles, pp. 24‒33.

10. Andrianov, I.V. and Avreitsevitch, Y., 2013. The me­thods of asymptotic analysis and synthesis of nonlinear dynamics and mechanics of deformable solid body, Institute of computer sciences, Moscow, Izhevsk: Institute of Computer Studies.

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