Harebov K.S.
Harebov K.S.

Harebov K.S.


Publications

Setting and the Solution of the Contact Boundary?Value Problem of Building with the Ground Base Interaction Under the Seismic Impact
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The multilayer contact boundary-value problem of the seismic vibrations of the system, consisting of the elastic-viscous layers under the building, is set and solved. Boundary-value problem consists of n differential equations describing transversal shear vibrations of soil layers. On each contact surface of soil layers differential equations are interconnected by two boundary conditions, which express the equality of displacements and shearing stresses in the adjacent of soil layers. The last deep layer is considered semi-bounded. At infinity the limitedness of displacement and partial derivatives of displacement is stipulated. The presented boundary-value problem is solved by the method of the forward and reflected waves superposition. Calculation formulas for the seismic vibrations amplitudes of each layer, including for the ground surface are obtained.

The Multilayer Boundary-Value Problem of the High-Rise Building Seismic Vibrations Setting and the Solution
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The contact boundary problem of joint seismic vibrations of a system consisting of some soil layers, foundation and high-rise building is set and solved. The formulas for calculating the oscillations of the body structure amplitude are obtained.

Mathematical Modeling of Seismic Action Enhancement and Decaying Process in Case of High-Rise Structures
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The paper sets and solves a contact boundary problem of joint seismic vibrations of a system consisting of two soil layers, a foundation mass and a high-rise structure. The formulas for calculating the oscillation amplitudes of the structure body are obtained. It is shown that the relative amplitude of the structure top diminishes rapidly with the rise of the structure height.