Engineering Mechanics

International Conference

Proceedings Vol. 15 (2009)


ENGINEERING MECHANICS 2009

NATIONAL CONFERENCE WITH INTERNATIONAL PARTICIPATION
May 11 – 14, 2009, Svratka, Czech Republic
;
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2009 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-35-2 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

On application of distributions to computations of open cross-section thin-walled beams
J. Sobotka
pages 1233 - 1247, full text

The generalized mathematical model of thin-walled beams with warpable cross-section introduced in (Hý a, 2005) represents a consistent smalldisplacement theory for coupled bending and torsion of open cross-section thinwalled beams, which are subjected to general distributed loading. However, this model does not cover directly concentrated loading. This paper presents a new generalization of this model by means of distributions to involve concentrated loading. The derived system of ordinary differential equations (SODE) of the first order contains twelve unknown quantities and Dirac distribution at each point where discontinuity of an unknown quantity occurs. The general solution to the SODE is computed by means of the symbolic programming approach.


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Text and facts may be copied and used freely, but credit should be given to these Proceedings.

All papers were reviewed by members of the scientific committee.


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