Archive

UDK: 624.046.001.8:519.28
DOI: n/a

Published: Građevinar 63 (2011) 11
Paper type: Original scientific paper
Download article (Croatian): PDF
Download article (English): n/a

Effect of rounding error on the accuracy of structural analysis

Antonia Jaguljnjak Lazarević, Josip Dvornik, Lidija Frgić

Abstract

In order to estimate accuracy of structural analyses, the authors introduce a systemic set of examples with analytic solutions that can be presented, through the finite element method, in form of whole numbers and fractions. The three-cube Lagrange element in form of cuboid is selected as an example. Examples are solved numerically using a standard number of significant digits. In the end, an accurate calculation of error is derived from the difference between the exact and numerical solutions. The entire procedure is realized using the Mathematica software.

Keywords
rounding error, three-cube Lagrange element, cuboid, plate, structure, member, accuracy of analysis

HOW TO CITE THIS ARTICLE:

Jaguljnjak Lazarević, A., Dvornik, J., Frgić, L.: Effect of rounding error on the accuracy of structural analysis, GRAĐEVINAR, 63 (2011) 11

OR:

Jaguljnjak Lazarević, A., Dvornik, J., Frgić, L. (2011). Effect of rounding error on the accuracy of structural analysis, GRAĐEVINAR, 63 (11)
Authors:

Antonia Jaguljnjak Lazarević
University of Zagreb
Faculty of Mining, Geology and Petroleum Engineering
GR13 7 4 1 Dvornik WEB
Josip Dvornik
University of Zagreb,
Faculty of Civil Engineering

Lidija Frgić
University of Zagreb,
Faculty of Mining, Geology and Petroleum Engineering