Computational & Technology Resources
an online resource for computational,
engineering & technology publications
Civil-Comp Proceedings
ISSN 1759-3433
CCP: 19
Edited by: B.H.V. Topping
Paper IX.3

Free Vibrations of Timoshenko Beams with Variable Cross Sections: A Lagrangian Approach

N.M. Auciello

Department of Structural Engineering and Soil Mechanics, University of Basilicata, Potenza, Italy

Full Bibliographic Reference for this paper
N.M. Auciello, "Free Vibrations of Timoshenko Beams with Variable Cross Sections: A Lagrangian Approach", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 237-241, 1993. doi:10.4203/ccp.19.9.3
The Timoshenko beam is a structural system which easily allow the dynamic analysis of structural elements, when shear deformation and rotatory inertia become meaningful. Movable arms,towers and antennae are the most typical examples, and all these cases can be reduced to a Timoshenko beam with variable cross section. Usually, approximate free vibration frequencies can be obtained by standard finite element methods, whereas in this note lagrangian approach is adopted, which was already used in order to solve similar problems. The proposed analysis seems to be rather interesting, at least if compared with more usual FE methods, since a lower-upper bound can be obtained. The paper ends with some numerical examples and comparison with classical results.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £58 +P&P)