Statistical Properties of Strain and Rotation Tensors in Geodetic Network

Marjetič, Aleš (author), Ambrožič, Tomaž (author), Turk, Goran (author), Sterle, Oskar (author), Stopar, Bojan (author)

This article deals with the characteristics of deformation of a body or a figure represented by discrete points of geodetic network. In each point of geodetic network kinematic quantities are considered normal strain, shear strain, and rotation. They are computed from strain and rotation tensors represented by displacement gradient matrix on the basis of known point displacement vector. Deformation analysis requires the appropriate treatment of kinematic quantities. Thus statistical properties of each quantity in a single point of geodetic network have to be known. Empirical results have shown that statistical properties are strongly related to the orientation in single point and local geometry of the geodetic network. Based on the known probability distribution of kinematic quantities the confidence areas for each quantity in a certain point can be defined. Based on this we can carry out appropriate statistical testing and decide whether the deformation of network in each point is statistically significant or not. On the other hand, we are able to ascertain the quality of the geometry of the geodetic network. The known characteristics of the probability distributions of two strain parameters and rotation in each point can serve as useful tools in the procedures of optimizing the geometry of the geodetic networks.

• Language: English
• Keywords: geodetic networks, confidence interval, kinematic quantities, strain tensor, normal strain, shear strain
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publisher: American Society of Civil Engineers
• Year: 2010
• Number of pages: Str. 102-110
• Numbering: Letn. 136, št. 3
• PID: 20.500.12556/RUL-32105
• UDC: 528:624.04
• ISSN on article: 0733-9453
• DOI: 10.1061/(ASCE)SU.1943-5428.0000020
• COBISS.SI-ID: 4805473
• Publication date in RUL: 10.07.2015

Record is a part of a journal

• Title: Journal of surveying engineering
• Shortened title: J. surv. eng.
• Publisher: American Society of Civil Engineers
• ISSN: 0733-9453
• COBISS.SI-ID: 7016453

Secondary language

• Language: English
• Keywords: geodetske mreže, interval zaupanja, kinematične količine, tenzor deformacij, normalne deformacije, strižne deformacije