A study on the approximation power of NURBS and the significance of exact geometry in isogeometric pre-buckling analyses of shells

We present a comprehensive study on the approximation power of NURBS and the significance of exact geometry in stability analyses of shells. Pre-buckling analyses are carried out to estimate the critical load levels and the initial buckling patterns. Various finite element solutions obtained with the commercial code ANSYS are compared with solutions from theisogeometric version of the finite element method, using our in-house code NumPro. In some problem setups, the isogeometric shell elements provide superior accuracy compared to standard (as opposed to isogeometric) shell finite elements, requiring only a fractional amount of degrees of freedom for the same level of accuracy. The present study systematically investigates the sources of this superior accuracy of the isogeometric approach. In particular, hypotheses are tested concerning the influence of exact geometry and smoothness of splines.

DDC Class

620: Ingenieurwissenschaften

690: Hausbau, Bauhandwerk

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This project is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Grant OE 728/1-1 — 428725889, under Germany’s Excellence Strategy – EXC 2120/1 – 390831618 and under Collaborative Research Center 1244 — 279064222.

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A study on the approximation power of NURBS and the significance of exact geometry in isogeometric pre-buckling analyses of shells