Method for calculation parameters of dynamic vibration dampers’ complexes as regulators of structures’ and constructions’ stress-strain state under polyharmonic excitations

The article is devoted to the urgent problem of protecting buildings and structures from dynamic influences of various nature and origin. An effective means of vibration suppression is being considered namely dynamic vibration dampers. A generalized model of a system of multi-mass dampers and a rational, engineering-oriented method for calculating their parameters at conditions of polyharmonic descriptions of complex dynamic excitations on construction objects are proposed, using the concepts and methods of the theory of regulating the stress-strain state of structures, where dampers play the role of regulators. Based on the decomposition approach, an analytical solution to the problem of determining the parameters of a complex of dampers according to pre-formulated requirements for the results of regulating the dynamic state of a deformable system (buildings, structures) is obtained. The test tasks were used to evaluate and analyze the accuracy of the results of calculations of model systems according to the developed methods, algorithms and formulas.