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.

has been cited by the following article:

• TITLE: Of Own and Forced Vibrations of Dissipative Inhomogeneous Mechanical Systems

  AUTHORS: I. I. Safarov, М. Kh. Теshayev, B. Z. Nuriddinov, Z. I. Boltayev

  KEYWORDS: Own Waves, Dissipative Body, Environment, Spectral Problem, Natural Frequency, Phase Velocity

  JOURNAL NAME: Applied Mathematics, Vol.8 No.7, July 27, 2017

  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.