Estimation of absolute deformations by changes in distances between the reference points and deformation marks

Olga Tsareva,Ivan Dmitriev,Yuriy Kornilov

doi:10.1051/matecconf/201824504013

Abstract

The article considers the definition of absolute types of deformations, such as transfer and rotation of a building, using linear spatial intersection. In particular, knowing the distances between strong points and deformation marks, the coordinates of the marks located on the building in the initial and current observation cycles are obtained. Knowing the coordinates of the marks, calculate the displacement vectors of the marks for a certain period of time. The definition of absolute deformations is based on the estimation of the projections of the displacement vectors on the coordinate axes, as well as the direction cosines of the vectors with the coordinate axes. The determination of the direction of displacement is shown for the transference deformation. And how to determine the axis, the distance to this axis and the angle of rotation is shown for rotation deformation. We show for joint deformation of the transfer and rotation how divide it into components and then determine the direction of displacement and the axis of rotation. The results can be used in assessing of absolute deformations buildings of monuments of cultural heritage.

Highlights

There are some investigations of various methods of observing deformations and their estimates in articles [1–25]
Since we work in space and have three coordinates of each of the brands, it is necessary to have at least three strong points, which should not be located on one straight line
Where uXP,uYP,uZP are the coordinates of the displacement vector PP' ; u=

Summary

Introduction

There are some investigations of various methods of observing deformations and their estimates in articles [1–25]. Deformations can be estimated by knowing the distances between the deformation marks and their changes. The paper [6] dwells on the estimation of the deformation through the distance between deformation marks and their changes. Absolute deformations are possible at zero relative In this case, the distance between any pair of brand marks in the deformation process does not change, but in general, the distances from brand marks to reference points vary [26-31]. The paper presents studies of a simple case (absolute deformations without relative displacements of object points)

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