MATEC Web Conf.
Volume 106, 2017International Science Conference SPbWOSCE-2016 “SMART City”
|Number of page(s)||7|
|Section||4 Applied Mechanics in Construction and Material Science|
|Published online||23 May 2017|
Mathematical conformity problems in the dynamic modeling of seismic stability structures
Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, Moscow, 129337, Russia
* Corresponding author: email@example.com
The article discusses the problems of field studies and dynamic stability of construction objects at design stage. It highlights the analysis results of various mathematical model approaches for seismic stability of construction structures. The mathematical aspects of their dynamic properties are represented as amplitude-frequency responses and transfer functions. The results of the study as well as the comparative analysis of the mathematical conformity of modeling dynamic properties of a construction object by the Fourier method and the Laplace method are represented. The article considers the uncertainty in the estimates of the dynamic coefficient of structures when using amplitude-frequency response of the object. Furthermore, it is identified that there is a dependence between this coefficient and the instantaneous spectrum of seismic impact when using the Fourier method. The article gives the results of the studies on causes of virtual dependence of the amplitude-frequency response and on the dynamic coefficient from the Fourier transform basis function. The Fourier transform basis function is proved to fall a long way short of the field data and represents itself some abstract description of seismic loads that do not exist in the real nature. The diagrams are given in the article, that proves the comparative estimates of the mathematical conformity and metrological validity of the construction’s dynamic models when using the Fourier method and the Laplace method.od.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.