A corotational finite element formulation for the analysis of planar beams Academic Article

abstract

• An efficient and accurate locking-free corotational beam finite element for the analysis of large displacements and small-strain problems is developed in this paper. Three different finite element models based on three different beam theories, namely, the Euler-Bernoulli, Timoshenko, and simplified Reddy theories are presented. In order to develop a single corotational finite element that incorporates the kinematics of all three theories, the unified linear finite element model of beams developed by Reddy (Comm. Numer. Meth. Eng. 1997; 13:495-510) is included in the formulation. An incremental iterative technique based on the Newton-Raphson method is employed for the solution of the non-linear equilibrium equations. Numerical examples that demonstrate the efficiency and large rotation capability of the corotational formulation are presented. The element is validated by comparisons with exact and/or approximate solutions available in the literature. Very good agreement is found in all cases. Copyright 2005 John Wiley & Sons, Ltd.

authors

• Reddy, Junuthula

published proceedings

• COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING

author list (cited authors)

• Urthaler, Y., & Reddy, J. N.

citation count

• 36

complete list of authors

• Urthaler, Y||Reddy, JN

publication date

• June 2005

publisher

• Wiley  Publisher

published in

• International Journal for Numerical Methods in Biomedical Engineering  Journal

keywords

• Beams
• Corotational Formulation
• Finite Element Analysis
• Locking-free Elements
• Shear Deformable Beams

Digital Object Identifier (DOI)

• 10.1002/cnm.773

start page

• 553

end page

• 570

volume

• 21

issue

• 10