The technique of numerical calculation of geometric characteristics of the cross section of a naturally twisted rod of variable cross section
Authors
Nusratullina Liliya Rinatovna
Ufa University of Science and Technology
Nusratuulin Eduard Marsovich
Ufa University of Science and Technology
Pavlov Victor Pavlovich
Ufa University of Science and Technology
Keywords:
naturally twisted rod, geometric characteristics of section, center of gravity, section area, moments of inertia, lobal coordinate system, principal coordinate system, central coordinate system, elliptical section
Abstract
The article describes a technique for numerically calculating the main geometric characteristics of an arbitrary cross-section for a naturally twisted rod: area, center of gravity, axial and central moments of inertia. These parameters are necessary input data for a system of differential equations describing transverse vibrations of a naturally twisted rod. The estimation of the error of the tech- nique is based on numerical results with exact results obtained for the test problem when considering an ellipse-shaped section for which geometric characteristics are determined by precise analytical expressions.
Author Biographies
Nusratullina Liliya Rinatovna, Ufa University of Science and Technology
Senior Lecturer of the Department of Artificial Intelligence and Advanced Mathematical Research.Dipl. of specialist in mathematics (Bashkir State University, 2003)
Nusratuulin Eduard Marsovich, Ufa University of Science and Technology
Associate Professor of the Department of Artificial Intelligence and Advanced Mathematical Research.Dipl. of specialist in mathematics (Bashkir State University, 2004).
Pavlov Victor Pavlovich, Ufa University of Science and Technology
Professor of the Department of Strength of Materials. Dipl. of engineer for aircraft engines (Ufa Aviation Institute, 1973). Doctor of Technical Scienses (Ufa State Aviation Technical University, 2005).
