Engineering Mechanics

International Conference

Proceedings Vol. 16 (2010)


May 10 – 13, 2010, Svratka, Czech Republic
Editors: Igor Zolotarev

Copyright © 2010 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-26-0 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

On application of generalized functions to calculations of thin-walled beams
Sobotka J.
pages 139 - +16p., full text

This article presents Ph.D. thesis dealing with applications of generalized functions (distributions) to analytical calculations of thin-walled beams with discontinuities in loading, supports, mid-line contour geometry and due to internal hinges or couplings. Three mathematical models of thin-walled beams have been generalized here using the distributional derivative in order to hold true also at points of discontinuity of unknown quantities. The first model is for thin-walled prismatic beam bending that covers the effect of shear lag based on the first approximation of mid-sUljace shear strain. The second one is for restrained torsion of open cross-section thin-walled prismatic bars. The third one is for coupled bending and torsion of open cross-section thin-walled prismatic beams that covers the effect of restrained wmping using plane approximation of bending warping and sectorial approximation of mid-line contour warping.

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