Mathematical study of the effect of tuned liquid dampers in mitigating the effects of vibrations on buildings resulting from earthquakes and explosions

Recently, accidents at critical infrastructure facilities due to seismic activity, military explosions and accidents have become more frequent. The importance of studying such events in terms of the preservation and improvement of the environment and the sustainable development of any country is beyond doubt. These man-made effects negatively affect the environment. The hazardous materials released pollute soil, and surface and groundwater. Dust and emissions reduce the quality of the atmosphere. Destroyed objects could disrupt and degrade ecosystems resulting in a reduction in biodiversity. In this regard, a comprehensive analysis of the system to increase the environmental safety level of buildings and different technogenic objects under seismic loads, military explosions and emergencies, the development of theoretical models and practical solutions to ensure their stability and reduce environmental threats, is an urgent scientific task. The aim of this paper is to study the effectiveness of tuned liquid dampers in mitigating structural damage when subjected to vibrations. Tuned liquid dampers are strong tanks, partially filled with liquid, which are strongly integrated into a flexible structure. A numerical model that incorporates the interaction between a structure and a tuned liquid damper was developed. The structure is assumed to be a single degree of freedom system. To obtain the fundamental frequencies of a tuned liquid damper, the boundary element method was used. The novelty of the proposed method is that it defines the mitigation of vibrations in a structure with a tuned liquid damper.