Pysarevskyi B. Numerical modeling of structures of multi-storey buildings under dynamic impact

The object of research - the process of changing the stress-strain state of structures of multi-storey buildings on a boundless soils under the dynamic influences; aim - to create of a technique of modeling and numerical calculations of system "ground part-foundation-soil" on dynamic influences, taking into account infinity and dissipative properties of soil; methods - the dissertation is based on the numerical method of finite elements, the paper uses mathematical methods for determining comparative characteristics for processing the results of field surveys and numerical modeling, determining the convergence of field surveys and numerical results. Numerical modeling of the structure using the finite element method in the software package "LIRA-SAPR" is also used; results - for the first time a new numerical procedure for forming stiffness matrices, damping, mass matrices, acceleration response vector and implemented in the finite element method, which takes into account the continuous passage of a wave into an infinite region of the soil massif under dynamic influences; a new method of solving problems by the direct dynamic method of the system "ground part-foundation-soil" taking into account the physical nonlinearity, which takes into account the continuous passage of the wave into an infinite region; the method of determining the stress-strain state of structures under separate and compatible influences of static and dynamic loads with numerical realization by the finite element method is improved; the method of calculation for modeling of dynamic influences on a multi-storey building in calculations by a direct dynamic method is improved; the calculation method taking into account the finite elements of the scaled boundary finite element method was further developed; implemented - in the educational process at the National Aviation University, in LLC "LIRA-SAPR" in the development and implementation of methods for calculating systems "ground part-foundation-soil" on dynamic impacts, in the state enterprise "Research Institute of Building Production" during the works on scientific and technical support.