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A platform for research: civil engineering, architecture and urbanism
A higher order beam finite element with warping eigenmodes
Highlights ► We develop a new kinematic for beams based on eigenwarping modes. ► New equilibrium equations are obtained and an exact solution is given. ► Very accurate and mesh independent results are obtained for restrained warping. ► We can constitute bridges models with one exact beam finite element.
Abstract In this paper, a new beam finite element is presented, with an accurate representation of normal stresses caused by “shear lag” or restrained torsion. This is achieved using an enriched kinematics, representing cross-section warping as the superposition of “warping modes”. Detailed definitions and computational methods are given for these associated “warping functions”. The exact solution of the equilibrium equations is given for a user-defined number of warping modes, though elastic results are totally mesh-independent.
A higher order beam finite element with warping eigenmodes
Highlights ► We develop a new kinematic for beams based on eigenwarping modes. ► New equilibrium equations are obtained and an exact solution is given. ► Very accurate and mesh independent results are obtained for restrained warping. ► We can constitute bridges models with one exact beam finite element.
Abstract In this paper, a new beam finite element is presented, with an accurate representation of normal stresses caused by “shear lag” or restrained torsion. This is achieved using an enriched kinematics, representing cross-section warping as the superposition of “warping modes”. Detailed definitions and computational methods are given for these associated “warping functions”. The exact solution of the equilibrium equations is given for a user-defined number of warping modes, though elastic results are totally mesh-independent.
A higher order beam finite element with warping eigenmodes
Ferradi, Mohammed Khalil (author) / Cespedes, Xavier (author) / Arquier, Mathieu (author)
Engineering Structures ; 46 ; 748-762
2012-07-31
15 pages
Article (Journal)
Electronic Resource
English
A higher order beam finite element with warping eigenmodes
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