Abstract
The research relates to the foundations of installations, buildings, and machines. The article aims to provide a foundation structure that reduces the amplitude of oscillation of structures from various technical reasons and natural phenomena, preventing resonant phenomena and economical use of foundation material. Compared to existing foundations, the proposed foundation provides a decrease in amplitude prevents the resonance of vibrations of mechanical installations and seismic vibrations of buildings during an earthquake, and creates savings in the use of cement-concrete material. This article considers mathematical, structural, and practical modeling of anti-vibration monolithic and pile foundations of mechanical installations and buildings. The study aims to create a foundation design that reduces the amplitude of oscillation of structures from various technical reasons and natural phenomena, prevents resonant phenomena, and makes economical use of foundation-reinforced concrete material. Features of engineering calculations, monolithic and pile types of foundations of machines, and high-rise buildings are considered. Studies show that the big monolithic mass of the foundation plays a negative role in the vibration of the building. Since the mass of the foundation is disproportionate, the stability of the building will be lost and due to the action of a massive foundation, its movement increases and the building does not return to its previous position. Therefore the optimal mass of the anti-vibration foundation depends on the mass of the building. The expression of the foundation depending on the weight of the building or technical equipment which is the novelty is derived in this paper. The novelty of the article is characterized by new mathematical modeling of the anti-vibration foundation for mechanical installations and high-rise buildings. For this reason the oscillation (vibration) of a mechanical system consisting of a building and a foundation, a practical hypothesis was adopted. Recommendations are given for designing the pile foundations of buildings and equipment. The research results can be used in the design of foundations of buildings and mechanical structures.