Engineering Mechanics

International Conference

Proceedings Vol. 13 (2007)


ENGINEERING MECHANICS 2007

NATIONAL CONFERENCE WITH INTERNATIONAL PARTICIPATION
May 14 – 17, 2007, Svratka, Czech Republic
;
Editors: Igor Zolotarev

Copyright © 2007 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-06-2 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

BOUNDARY CONDITIONS AND VIBRATION OF SLENDER BEAMS
Nánási T.
pages 199 - +8p., full text

The list of all possible boundary conditions corresponding to particular differential operator is much greater than usually presented in open literature. Gallery of various types of boundary conditions is presented for coupled bending-torsional vibration of a bar in compression and torsion. General condition to decide the selfadjointness is derived. Referenced cases are classified into selfadjoint or nonselfadjoint boundary conditions. Class of problems is distinguished, for which their selfadjointness guarantees the validity of the Euler method of stability analysis. For nonselfadjoint boundary conditions the stability analysis has to be carried out as dynamical problem even when the bar under consideration is loaded only statically.


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