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Of Own and Forced Vibrations of Dissipative Inhomogeneous Mechanical Systems
Buchara Technological-Engineering Institute, Bukhara City, Uzbekistan
Buchara Technological-Engineering Institute, Bukhara City, Uzbekistan
Buchara Technological-Engineering Institute, Bukhara City, Uzbekistan
Buchara Technological-Engineering Institute, Bukhara City, Uzbekistan
- 1 Buchara Technological-Engineering Institute, Bukhara City, Uzbekistan
- 2 Buchara Technological-Engineering Institute, Bukhara City, Uzbekistan
- 3 Buchara Technological-Engineering Institute, Bukhara City, Uzbekistan
- 4 Buchara Technological-Engineering Institute, Bukhara City, Uzbekistan
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Abstract
In the work, the problems of proper and forced oscillations of dissipative mechanical systems, consisting of rigid and deformable bodies are solved. To quantify the dissipative properties of the system, two values are proposed: the minimum resonance frequency of natural oscillations and the maximum resonant amplitude. In the study of the problem of dissipative inhomogeneous mechanical systems, a nonmonotonic dependence of the damping coefficients on the parameters of the system was observed. The concepts are derived Global damping factor, which characterizes the Damping properties of the dissipative mechanical system as a whole.
KeywordsOwn WavesDissipative BodyEnvironmentSpectral ProblemNatural FrequencyPhase Velocity
- Safarov, I.I. (1992) Vibrations of a Wave in Dissipatively Inhomogeneous Media and Structures. Tashkent: Fan, 252 p.
- Bozorov, M.B., Safarov, I.I. and Shokin, Yu.I. (1996) Numerical Simulation of Oscillations of Dissipatively Homogeneous and Inhomogeneous Mechanical Systems. Sibirian Branch of the Russian Akademy of Science, Novosibirsk, 189 p.
- Safarov, I.I., Teshaev, M.Kh. and Majidov, M. (2012) Damping of Oscillations of Dissipative-Inhomogeneous Mechanical Systems. Foundations, Concepts, Methods. LAP, Lambert Academic Publishing (Germany), 8 p.
- Koltunov, M.A., Mayboroda, V.P. and Zubcheninov, V.G. (1983) Strength Calculations of Products Made of Polymer Materials. Mashinostroenie, Moscow, 239 p.
- Koltunov, M.A. (1976) Creep and Relaxation. Higher Shkola, Moscow, 277 p.
- Leibenzon, L.S. (1943) Variational Methods for Solving Problems in the Theory of Elasticity. Gostekhizdat, Moscow, 286 p.
- Mayboroda, V.P., Troyanovsky, I.E. and Safarov, I.I. (1983) Free and Forced Oscillations of Systems of Solids on Inhomogeneous Viscoelastic Shock Absorbers. Journal of the USSR Academy of Sciences, 3, 71-77.
- Safarov, I.I., Teshaev, M.Kh. and Madjidov, M. (2014) Natural Oscillations of Viscoelastic Lamellar Mechanical Systems with Point Communications. Applied Mathematics, 5, 3018-3025. https://doi.org/10.4236/am.2014.519289
- Safarov, I.I., Akhmedov, M.Sh. and Boltaev, Z.I. (2014) Loose Waves in Viscoelastic Cylindrical Wave Guide with Radial Crack. Applied Mathematics, 6, 214-225. https://doi.org/10.4236/am.2014.521329
- Safarov, I.I., Akhmedov, M.Sh. and Boltaev, Z.I. (2015) Setting the Linear Oscillations of Structural Heterogeneity. Viscoelastic Lamellar Systems with Point Relations. Applied Mathematics, 6, 225-234. https://doi.org/10.4236/am.2015.62022
- Safarov, I.I., Akhmedov, M.Sh. and Boltaev, Z.I. (2015) Natural Oscillations of Cylindrical Bodies with External Friction on the Boundary. Applied Mathematics, 6, 629-645. https://doi.org/10.4236/am.2015.63057
- Safarov, I.I., Boltaev, Z.I. and Umarov, A.O. (2013) Forced Oscillations of Cylindrical Bodies with External Friction at the Boundary. Interuniversity Collection of Scientific Papers “Problems of Mechanics and Management. Nonlinear Dynamic Systems. Permian, 45, 114-122.
- Safarov, I.I., Teshaev, M.K.H. and Boltaev, Z.I. (2016) Waves in a Cylindrical Shell with a Viscous Liquid. Vestnik of Perm University. Mathematics. Mechanics. Computer Science, Perm, 3, 82-93.