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A mixed stress model for linear elastodynamics of arbitrarily curved beams

✍ Scribed by M. Cannarozzi; L. Molari

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
330 KB
Volume
74
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

This work presents a mixed stress finite element for linear elastodynamics of arbitrarily curved beams based on a modified Hellinger–Reissner functional. A rational approach to choose the stress approximation is proposed. In particular, the self‐equilibrated stress is augmented by some stress modes obtained from the lower‐order displacement approximation using the equilibrium equations, in such a way that the total number of stress modes is equal to the number of strain modes. The rationale is to preserve all the interactions among the stresses, proper of a curved structure without compromising the flexibility of the element. An arbitrarily curved geometry is described using a parametric Hermitian interpolation scheme tuned by minimizing the initial curvature of the arch. The effectiveness of the present approach is numerically demonstrated. Copyright © 2007 John Wiley & Sons, Ltd.

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