NUMERICAL SIMULATION OF NONLINEAR PROBLEMS OF DYNAMICS OF VISCOELASTIC SYSTEMS WITH FINITE NUMBERS OF DEGREES OF FREEDOM
Keywords:
deformation, relaxation, instantaneous stiffness, rheological properties, viscoelasticity, physical nonlinearity, integral operator, heredity kernelAbstract
The problem of dynamic vibration dampers of hereditarily deformable systems with f inite numbers of degrees of freedom is considered. The rheological properties of the spring (suspension) are taken into account using an integral model with the Koltunov Rzhanitsyn relaxation kernel. The behavior of a system with a damper is considered under free damped oscillations caused by given initial conditions, as well as under con stant, pulsed and periodic external influences. The results obtained allow us to conclude that it is advisable to use dynamic dampers to reduce the amplitude of vibrations in both ideally elastic and hereditarily deformable systems during transient processes. To solve problems, a computational algorithm based on the use of quadrature formulas was used.
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