Development of a new curved beam element with shear effect

Abstract

Two‐noded curved beam elements, CMLC and IMLC, are developed on the basis of Timoshenko’s beam theory and curvilinear co‐ordinates. These elements are developed by the separation of the radial displacement into the bending and the shear deflection and the projection of the shear deflection into bending deflection. In the CMLC element, field‐consistent membrane strain interpolation is adapted for removing the membrane locking. The CMLC element shows the rapid and stable convergence on the wide range of radius, thickness and length of the curved beam. The field‐consistent membrane strain and the separation of radial displacement produce the most efficient linear element possible.

Citation

Lee, S., Seo Koo, J. and Min Choi, J. (1996), "Development of a new curved beam element with shear effect", Engineering Computations, Vol. 13 No. 2/3/4, pp. 9-25. https://doi.org/10.1108/02644409610114440