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UDC: 624.131.534
DOI: 10.14438/gn.2013.19
submitted: 2013-11-05, accepted: 2013-11-28, published: 2013-12-23

Different algorithms for calculating the deformations of a point

Zdenko Mazurek1, Milivoj Vulić2*

1Municipality Metlika, Slovenia
2University of Ljubljana, Faculty of Natural Sciences and Engineering, Slovenia

Abstract. Underground excavation is presenting very big impact on the ground surface, which is reflected by the deformation on the surface. Deformation on the surface is reflected as the slope, curvature, horizontal or vertical displacement and dilatation, which are very dangerous for the buildings. In this article we will present important forms for calculating the deformation and the analytical methods with which we can calculate the different types of the deformation based on the statistical forms. Deformation of the point is depending on the direction of the observed profile. Because that the components of the deformation are usually written in strain matrix 2x2 or 3x3 from which we can calculate the main values and their direction. In this article we will detaily present different algorithms for calculation the eigenvalues and eigenvectors of the matrix.

Keywords. deformation, analytical method, matrix, eigenvalues, eigenvectors

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