Regulation of dynamic stress-strain state and reliability of deformable systems with vibration dampers under harmonic loads

Abstract

The problem of analysis linearly deformable systems with a finite number of single-mass dynamic vibration dampers (DVD), used as regulators of the stress-strain state (SSS) with different variants of the harmonic load (by location and type) was considered. Equations of state of the system with dampers have been obtained and a method has been proposed to choice a set of parameters (masses and stiffness) for each of the DVD, taking into account the properties of the system, loads, and parameters of other DVD and the specified requirements of regulation. The developed design apparatus has been used for solving a model problem of a dynamic SSS regulation in a rod system with several dampers and for estimation of its reliability with polycriterial serviceability requirements. The quantitative results of calculations are presented. The comparative analysis of the reliability have been performed for unprotected systems and systems with DVD. The possibility of determining the rational location and parameters of DVD under harmonic non-point loading with the target reliability of the structure is shown.