A scientific analysis of the provisions of the studies [1–4] devoted to the critical analysis of the state of regulatory documentation on the calculation of structures for earthquakes has been carried out. In these works, it is argued that the developers of domestic standards made a serious methodological mistake when dynamic coefficients, rather than reaction spectra, were used when setting the initial seismic information. It is believed that in foreign norms, as well as in the monographs of famous foreign scientists, the ground parts of structures during earthquakes are not affected by any external forces. This incompleteness of representations is present in the equation of horizontal vibrations in translated and domestic works and monographs, but in them, unlike the analyzed works, it is not stated that during earthquakes the ground parts of structures are not affected by any external forces. The reasons for the inadequacy of mathematical models of the interaction of foundations and structures are revealed and the equations of translational and rocking plane-parallel vibrations of a rigid structure on a pliable base are given, clearly taking into account the effect of gravity.
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Vladimir K. Vostrov (2024) studied this question.
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