Affiliation:
1. Department of Civil and Structural Engineering, Hong Kong Polytechnic University, Hong Kong, P. R. China
Abstract
A displacement-based, novel curved beam element is proposed for efficient and reliable analysis of frames composed of curved members. The accuracy of the proposed element is not controlled by the subtended angle of the element with the angle up to π. In contrast to the conventional method, the interpolation function for displacement is based on the infinitesimal straight beam sections extracted from the curved element. Consequently, the strain energy of the curved beam element can be integrated by the infinitesimal sections along the element length. The relationship between the displacements and the corresponding strains in the straight beam is simpler than that in the curvilinear co-ordinate description widely adopted by many researchers in their element derivations. This technique is formulated to avoid couplings between the tangential and radial displacement variables in the strain field and its successful utilization is also demonstrated herein. Furthermore, the relation between displacements and strains of the infinitesimal straight beam section is equivalent to that of the curved beam in the curvilinear co-ordinate description. Finally, the analysis results of several bench marked examples by the proposed curved beam element are presented. The results show the high accuracy and efficiency of the proposed element against the classical curved beam element.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering
Reference24 articles.
1. D. Dawe, Some High-Order Elements for Arches and Shells, Finite Elements for Thin Shells and Curved Members (John Wiley, London, 1976) pp. 131–153.
2. Numerical studies using circular arch finite elements
3. Curved finite elements for the analysis of shallow and deep arches
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