A Simple Frame Element for Large Rotations

27 Pages Posted: 31 May 2024

See all articles by Gumaa Abdelrhim

Gumaa Abdelrhim

affiliation not provided to SSRN

Peter Grassl

University of Glasgow - James Watt School of Engineering; University of Glasgow

Date Written: May 30, 2024

Abstract

A simple three-dimensional Timoshenko frame element for large rotations is proposed for the modelling of progressive collapse of structures. The element is formulated in a total Lagrange framework based on the concept of rigid bodies connected by springs. For the material nonlinearities, an elasto-plastic constitutive model with an associated flow rule is used. The symmetric stiffness matrix of the new element is obtained by linearising the force displacement relation in the deformed configuration. The model response is applied successfully to challenging benchmarks for buckling and bending reported in the literature. Subsequently, the effect of modelling large rotations on the failure process of three-dimensional frames is investigated.

Keywords: Timoshenko frame element, geometric nonlinearity, plasticity, rigid bodies, large rotations

Suggested Citation

Abdelrhim, Gumaa and Grassl, Peter, A Simple Frame Element for Large Rotations (May 30, 2024). Available at SSRN: https://ssrn.com/abstract=4850146 or http://dx.doi.org/10.2139/ssrn.4850146

Gumaa Abdelrhim

affiliation not provided to SSRN

Peter Grassl (Contact Author)

University of Glasgow - James Watt School of Engineering ( email )

Glasgow, Scotland
United Kingdom

University of Glasgow ( email )

James Watt School of Engineering
Glasgow, Scotland G12 8LT
United Kingdom

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Downloads
9
Abstract Views
45
PlumX Metrics