Article Title

Numerical Simulation of Nonlinear Vibrations of Discrete Mass with Harmonic Force Perturbation

Authors

M. Yusupov, Chirchik State Pedagogical Institute of Tashkent region
B. A. Akhmedov, Chirchik State Pedagogical Institute of Tashkent region
Olga Karpova, Turin polytechnic university in TashkentFollow

Abstract

The problem of vibration of a single-mass system under the force excitation of vibration associated with a fixed base by a weightless nonlinear viscoelastic spring is considered. To take into account the rheological properties of the spring material, the Boltzmann-Volterra principle was used. Mathematical models of the problem under consideration are obtained, which are described by integro-differential equations. A solution method based on the use of quadrature formulas has been developed and a computer program has been compiled on its basis, the results obtained are presented in the form of graphs. The influence of nonlinear and rheological properties of a spring on the amplitude and phase of mass oscillations has been investigated.

First Page

71

Last Page

75

References

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Recommended Citation

Yusupov, M.; Akhmedov, B. A.; and Karpova, Olga (2020) "Numerical Simulation of Nonlinear Vibrations of Discrete Mass with Harmonic Force Perturbation," Acta of Turin Polytechnic University in Tashkent: Vol. 10 : Iss. 4 , Article 6.
Available at: https://uzjournals.edu.uz/actattpu/vol10/iss4/6