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Structural Engineering and Mechanics Volume 8, Number 3, September 1999 , pages 257-272 DOI: https://doi.org/10.12989/sem.1999.8.3.257 |
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Out of plane vibrations of thin-walled curved beams considering shear flexibility |
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Cortinez VH, Piovan MT, Rossi RE
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| Abstract | ||
| In this paper a simple finite element is proposed for analyzing out of plane vibration of thin walled curved beams, with both open and closed sections, considering shear flexibility. The present element is obtained from a variational formulation governing the dynamics of a three-dimensional elastic body in which the stress tensor as well as the displacements are variationally independent. The element has two nodes with four degrees of freedom in each. Numerical examples for the first six frequencies are performed in order to assess the accuracy of the finite element formulation and to show the influence of the shear flexibility on the dynamics of the member. | ||
| Key Words | ||
| beam, bridges, finite element, shear flexibility, thin walled, vibration | ||
| Address | ||
| Cortinez VH, Univ Technol Nacl, Mech Syst Anal Grp, 11 Abril 461, RA-8000 Bahia Blanca, Buenos Aires, Argentina Univ Technol Nacl, Mech Syst Anal Grp, RA-8000 Bahia Blanca, Buenos Aires, Argentina Univ Nacl Sur, Dept Engn, RA-8000 Bahia Blanca, Buenos Aires, Argentina | ||