Open AccessVertical nonlinear oscillations of viscoelastic systems with multiple degrees of freedom
Author(s) -
Khabiba Karimova,
Sanjar Khikmatullaev,
Umirzok Kholiyorov,
Nuriddin Mirjalalov,
Utkir Islomov,
Fotima Juraeva
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/896/1/012118
Subject(s) - viscoelasticity , nonlinear system , suspension (topology) , rheology , displacement (psychology) , vibration , position (finance) , mechanics , quadrature (astronomy) , classical mechanics , kernel (algebra) , degrees of freedom (physics and chemistry) , control theory (sociology) , materials science , physics , mathematics , computer science , acoustics , thermodynamics , psychology , control (management) , finance , quantum mechanics , artificial intelligence , homotopy , pure mathematics , optics , economics , psychotherapist , combinatorics
Vertical oscillations of three loads of different masses connected by nonlinear viscoelastic springs (suspensions) are considered in the paper. An account for rheological properties of the suspension, an integral model with the Koltunov-Rzhanitsyn relaxation kernel is used. Effective computational algorithms have been developed for solving problems based on the use of quadrature formulas. The effect of rheological properties of suspension on the mass displacement from the position of static equilibrium is investigated as well as the influence of nonlinear properties of the suspension on the mode of vibration and frequency.