SOME NUMERICAL ASPECTS OF A LINEAR STATIC ISOGEOMETRIC ANALYSIS OF AN ARBITRARILY CURVED PLANE BERNOULLI-EULER BEAM

Abstract

Linear static analysis of arbitrarily curved beams is considered. Metric of a Bernoulli-
Euler beam is rigorously defined and the weak form of the corresponding boundary-value
problem is solved using isogeometric approach. Driving force behind present research is
detail numerical analysis of recently developed model of an arbitrarily curved beam. This
is obtained via in-depth analysis of convergence properties, as well as by comparison with
other numerical models. Excellent agreement of results is obtained and improved accuracy
of the model with the highest continuity is proved to be valid for most cases.