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Structural Engineering and Mechanics Volume 33, Number 5, November30 2009 , pages 621-633 DOI: https://doi.org/10.12989/sem.2009.33.5.621 |
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Numerical comparison of the beam model and 2D linearized elasticity |
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Eva Fabijanic and Josip Tambaca
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| Abstract | ||
| In this paper we compare the solution of the one-dimensional beam model and the numerical solution of the two-dimensional linearized elasticity problem for rectangular domain of the beam-like form. We first derive the beam model starting from the two-dimensional linearized elasticity, the same way it is derived from the three-dimensional linearized elasticity. Then we present the numerical solution of the two-dimensional problem by finite element method. As expected the difference of two approximations becomes smaller as the thickness of the beam tends to zero. We then analyze the applicability of the one-dimensional model and verify the main properties of the beam modeling for thin beams. | ||
| Key Words | ||
| linearized elasticity; asymptotic expansion; beam model; numerical solution; finite elements. | ||
| Address | ||
| Eva Fabijanic: Pliva d.d.,10000 Zagreb, Croatia Josip Tambaca: Depat. of Mathematics, University of Zagreb, Bijenicka 30,10000 Zagreb, Croatia | ||