Details

Parent Category: Geo-Technical Mechanics, 2015

UDC 678.074:620.17

Authors:

Kozub Yu.G., Ph. D., Associate Professor,

Kozub G.A., Ph. D., Associate Professor (LNU named after Taras Shevchenko)

Abstract.

For the decision of task of dynamic deformation of elastomeric elements a mathematical model is developed and the method of calculation of constructions is offered taking into account physical and geometrical non-linearity of nearly incompressibility of viscoelastic bodies. Nearly incompressibility of elastomers shows up during the straitened deformation of rubber elements and deformation of skims of rubber elements in rubber-metall constructions. For description of nonlinear viscoelastic properties of elastomer the of Peng-Landel’s law, Lindli’s law, modified Hooke’s law are used. As a kernel of relaxation the kernel of Rabotnova is used. Amplitude of vibrations of shock absorber is determined from the finite element method decision of task of dynamics with the use of N’yumark’s scheme.The offered method is used for the decision of the linked problem of thermoelasticity and calculation of longevity on the basis of power criterion.

Keywords:

nearly incompressibility, elastomer, longevity, finite element method

References:

1. Dyrda, V.I., Kozub, Yu.G., Kobets, A.S., Naumenko, A.P., Tverdokhleb, T.Ye. and Yatsenko, A.A. (2007), “Determination of rheology parameters of elastomer materials”, Geo-Technical Mechanics, no. 70, pp. 56-88.

2. Karnaukhov, V.G., Kozlov, V.I., Sichko, V.M. and Zavgorodnii, A.V. (2010), “An effect of physical nonlinearity on resonance vibration and dissipative heating of rigidly supported thick-walled viscoelastic panel”, Acoustic bulletin, vol. 13, no. 2, pp. 28-33.

3. Karnaukhov, V.G., Kozlov, V.I., Sichko, V.M. and Zavgorodnii, A.V. (2010), “Forced resonance vibration and dissipative heating of a three-layered thick-wall simply supported viscoelastic cylindrical panel with temperature-independent properties”, Acoustic bulletin, vol. 13, no. 1, pp. 22-29.

4. Sichko, V.M., Zavgorodnii, A.V. and Verteleckiy, M.I. (2010), “Forced resonance vibrations and dissipative heating of a thick-walled viscoelastic cylindrical plate”, Dopovidi NANU, no. 9, pp. 44-49.

5. Avramov, K.V. (2009), “Nonlinear vibrations of circular plates with cuts. R-function method”, Math. Methods and Physicomech. Fields, vol. 52, no. 2, pp. 118-127.

6. Shopa, T.V. (2009), “Research of frequencies of free vibration for transversal isotropic cylinder panel with the circular cut”, Math. Methods and Physicomech. Fields, vol. 52, no. 2, pp. 128-137.

7. Smetankіna, N.V. (2009), “Non-stationary vibrations of multi-layered orthotropic shells of noncanonical form”, Vіbracii v tekhnіcі ta tehnologіyakh, no. 3(55), pp. 38-41.

8. Іvasishen, S.D. and Pasіchnik, G.S. “Cauchy problem for Fokker-Planck-Kolmogorov equation of multidimensional Markov process”, Math. Methods and Physicomech. Fields, vol. 53, no. 1, pp. 15-22.

9. Breslavskiy, I.D. and Avramov, K.V. (2008), “The forced oscillations of shallow shell having simply supported and free edges”, Vestnik NTU “KhPI”, no. 36, pp. 20-29.

10. Leykand, M.A., Lavendel E.E. and Lvov, S.V. (1980), “Approximate rheological model of material of the think-layer elastomeric bearing”, Voprosy dinamiki i prochnosti, no. 36, pp. 157-168.

11. Kirichevskiy, V.V., Dokhnyak, B.M., Kozub, Yu.G., Gomenyuk, S.I., Kirichevskiy, R.V. and Grebenyuk, S.N. (2005), Metod konechnyih elementov v vyichislitelnom komplekse “MIRELA+” [The finite element method in calculable complex “MIRELA+”], Naukova dumka, Kiev, Ukraine.

12.  Adamov, A.A. (1980), “To the choice of functional for description of conduct of viscoelastic material at finite deformations”, Nauchnye Trudy Kuban. gos. Universiteta, vol. 3: Mekhanika elastomerov, pp. 56-59.

13. Bartenev, G.M. and Zelenev, Yu.V. (1983), Fizika i mekhanika polimerov [Physics and mechanics of polymers], Vyshaya shkola, Moscow, USSR.

14. Marvalova, B. (2007), “Viscoelastic properties of filled rubber. Experimental observations and material modelling”, Engineering Mechanics, vol. 14, no. 1/2, pp. 81-89.

About the authors:

Kozub Yuriy Gordeyevich, Candidate of technical sciences (Ph. D.), Associate professor, Heard of Department of physics and applied mechanics, Taras Shevchenko National University of Luhansk (LNU), Starobelsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Kozub Galina Alexandrovna, Candidate of technical sciences (Ph. D.), Associate professor, Associate professor of Department of information technologies and systems, Taras Shevchenko National University of Luhansk (LNU), Starobelsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Attachments:

File	Description	File size
12.pdf	NONLINEAR DEFORMATION OF MULTILAYER RUBBER-METAL SHOCK-ABSORBERS	549 kB