E3S Web Conf.
Volume 164, 2020Topical Problems of Green Architecture, Civil and Environmental Engineering 2019 (TPACEE 2019)
|Number of page(s)||9|
|Section||Energy Efficiency in Building Construction|
|Published online||05 May 2020|
Possibility of using local spline functions for estimating displacement values when observing deformations of buildings
Moscow State University of Civil Engineering, 26, Yaroslavskoye Shosse, 109377, Moscow, Russia
* Corresponding author: email@example.com
This paper discusses the issue of determining the values of displacement points on the walls of buildings and structures during deformations using geodetic measurements of the values of displacements of adjacent points. It is proposed to use spline functions of one or two variables to calculate the offsets of points where no measurements were made, or where observations stopped starting from a certain stage. It is proposed to determine the spline coefficients either by interpolating the results from one observation cycle to arbitrary points, or by interpolating the observation results in previous cycles to points that were not observed in the new observation cycle. A specific example is used to evaluate the accuracy of the interpolation results and provide practical recommendations for using the methods in practical calculations. When considering the two-dimensional case, it is concluded that the approximation of the linear spline of two variables is not accurate enough, and it is proposed to use splines of a higher degree.
© The Authors, published by EDP Sciences 2020
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.
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