Dynamic dampers of vibrations of inherited-deformable systems with finite number of degrees of freedom

Abstract

Abstract The problem of dynamic vibration dampers of inherited-deformable systems with finite number of degrees of freedom is considered. Rheological properties of spring (suspension) are taken into account using integral model with Koltunov-Rzhanitsin relaxation core. The behavior of the system with a damper is considered at free attenuation oscillations caused by the specified initial conditions, as well as at constant, pulse and periodic external impacts. The obtained results make it possible to conclude on the expediency of using dynamic dampers to reduce amplitude of oscillations, both in perfectly elastic and in inherited-deformable systems during transient processes. A computational algorithm based on quadrature formulas is used to solve the problem.