Affiliation:
1. Technische Universita¨t Braunschweig
2. University of Waterloo
Abstract
The L-spline finite element method is applied to the static deflection analysis and linear vibration analysis of curved Euler-Bernoulli and Timoshenko beams. A formal definition of membrane locking is presented along with a simple test that allows a priori determination of an L-spline finite element models susceptibility to locking. Formulations for both types of beam models, that under certain discretizations experience locking are presented. Examples that demonstrate the efficacy of the locking test and illustrate the L-spline finite element method performance are included.
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