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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

Abstract

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.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 19 DEVELOPMENTS IN COMPUTATIONAL ENGINEERING MECHANICS 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 doi:10.4203/ccp.19.9.3 purchase the full-text of this paper 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 Abstract 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)
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