Abstract. Tuned mass dampers (TMD) are used primarily for reduction of seismic and wind oscillations in high-rise buildings. It is well-known that the base isolation isn’t effective in tall buildings. In general, TMD can reduce seismic loads in tall building but it needs a large mass of TMD. In addition, TMD can’t reduce vertical oscillations,which can be very destructive due to P-delta effect. This paper presents an engineering solution for mitigation of response of structure caused by seismic excitations. An approach of using the upper part of the building as a TMD can significantly reduce horizontal accelerations and stresses in building elements up to 50% along the entire height. Also proposed TMD can siginficantly reduce vertical oscillations in a primary building up to 30% in comparison with building without TMD. This solution can be used both in existing and in new built buildings. This solution doesn’t require any additional mass and its transportation to the installation place. Optimization criterion for defining optimal TMD’s properties was developed. Criterion presents the aim’s function of maximum difference between accelerations of floors with and without TMD along the entire height.

For analytical studies matrix of stiffness and dissipation matrix were developed. Matrix of stiffness considers bending and sliding motions and dissipation matrix consider damping ratio for soil, TMD’s constructions and constructions of the building.