Abstract
To improve the convergence and the accuracy of a finite element, the finite element has to describe not only displacement and stress distributions in a static analysis but also rigid body displacements. In this paper, we consider the in-plane-deformable curved beam element to understand the descriptive capability of rigid body displacements of a finite element. We derive the rigid body displacement fields of a single finite element under various essential boundary conditions when the nodal displacements are caused by the rigid body displacement. We also examine the rigid body displacement fields of a quadratic curved beam element by employing the reduced minimization theory.
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Won-Joo, M., Yong-woo, K. & Oak-key, M. Rigid body displacement fields of an in-plane-deformable curved beam based on conventional strain definition. KSME International Journal 12, 461–472 (1998). https://doi.org/10.1007/BF02946361
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DOI: https://doi.org/10.1007/BF02946361