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Ismail Ibrahimovich Safarov

Abstract

The paper deals with self-induced and forced linear oscillations, dissipative mechanical systems consisting of spatial bodies. The problem is solved by the Mueller method, the Gauss method, and the methods of theoretical mechanics. When solving the problems of intrinsic and forced oscillations of dissipatively inhomogeneous mechanical, new regularities of energy dissipation of mechanical systems are discovered.

Keywords

Keywords: Oscillations, Frequency, Damping Coefficient, Global Coefficient, Relaxation Core

References

References

А. А. Ilyushin, В.Е.Pobedrya Foundations of the mathematical theory of thermoviscoelasticity. Moscow, 1970. pp. 12-75.

I. I. Safarov Oscillations and waves in dissipative - inhomogeneous media and structures. Tashkent 1992, рр. 2-50.

Maiboroda V.P., Troyanovsky I. E., Safarov I.I. “Free and forced oscillations of systems of solids on inhomogeneous viscoelastic shock absorbers”, Proceedings of the Academy of Sciences, Machine Science, 3, рp.71-77, 1983.

Bozorov M., Shokin Yu., Safarov II. Numerical simulation of dissipatively homogeneous and inhomogeneous mechanical systems. Moscow, 1996. рр. 18-36.

Safarov II, Teshaev M.H., Majidov M. Damping of oscillations of dissipative-inhomogeneous mechanical systems. Fundamentals, concepts, methods. LAP, Lambert Academic Publishing. 2012. рр. 9-28.

Safarov I.I, Akhmedov M. Sh.,Rajabov O. Vibrations of plates and sells with attached concentrated mass. LAP, Lambert Academic Publishing. 2015. рр. 9-13р.

Safarov I.I, Teshaev M. H., Madjidov M. “Natural Oscillations of Viscoelastic Lamellar Mechanical Systems with Point Communications”, Applied Mathematics, 5, pр. 3018-3025, 2014. http://www.scirp.org/journal/am.

Safarov I.I, Akhmedov M. Sh. Boltaev .Z.I."Setting the Linear Oscillations of Structural Heterogeneity Viscoelastic Lamellar Systems with Point Relations”, Applied Mathematics, 6, pp. 225-234 , 2015. http://www.scirp.org/journal/am.

Safarov I.I., Yadgarov U.T. “Oscillations of linear viscoelastic systems with a finite number of degrees of freedom”, A young scientist Russia, 10, pp. 305-309, 2015.

Safarov I. I, Teshaev M.Kh., Boltaev Z.I., Nuriddinov B.Z. “Of Own and Forced Vibrations of Dissipative Inhomogeneous Mechanical Systems”, Applied Mathematics, 8. pp. 1001-1015, 2017. http://www.scirp.org/journal/am.

Safarov I.I, Akhmedov M. Sh., Buronov S. Method of finite elements in the calculations of pipelines. Lambert Academic Publishing (Germany). 2017. рр. 22-45. hhtp:// dnb.d –nb.de .

Safarov I.I, Teshaev M., Boltaev Z., Akhmedov M “Damping Properties of Vibrations of Three-Layer Viscoelastic Platе”. International Journal of Theoretical and Applied Mathematics 3(6), pр.191-198, 2017.

Safarov I.I., Boltaev Z. “Propagation of Natural Waves in Extended Cylindrical Viscoelastic Panels”. International Journal of Emerging Engineering Research and Technology, vol. 5, issue 10, pp. 37-40, 2017.

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