Application of similarity and dimensional theory for seismic treatmentстатья
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Аннотация:The paper considers the problem of seismic treatment in building codes. Some definitions used inearthquake engineering in Russia and abroad are analyzed. Inconsistencies between definitions and empiricaldata and similarity and dimensional theory are revealed. Seismic treatment is still based on different assumptionsthat were made during in the early days of engineering seismology and earthquake engineering despiteadvances in modern seismology in theoretical problems and a representative strong ground motion database.Many of these assumptions were made in violation of the rules of similarity and dimensional theory, and theseerrors migrated to modern building codes. For example, the definitions of magnitude, duration of vibrations,quality factor, ground accelerations, and some other quantities used in regulations in the engineering scopeof seismic ground motion turned out to be incorrect. This is because many definitions valid for small deformationsare incorrect for large ones. Confusion with terminology causes many problems: definitions of somequantities (e.g., the duration of vibrations or the vibration period) used in calculations depend on the posedproblem. There are both identical definitions for different physical quantities and different definitions for thesame quantity even in the glossaries of regulations. Physically incorrect definitions of some quantities that canlead to incorrect engineering calculation results are a significant source of calculation errors. The paper considersdimensionless quantities that describe seismic ground motion. Dimensionless quantities do not dependon the scale of the phenomenon according to similarity and dimensional theory. Therefore, the use of seismictreatment characteristics, such as the dynamic amplification factor, deformation, shape of the response spectrum,shape of the vibration envelope, and number of vibration cycles, greatly increases calculation accuracy.Keywords: earthquake source, magnitude, deformation, ground motion parameters, spectrum, duration ofvibrations