STUDY ON THE NUMBER OF QUADRATURE POINTS FOR LINER ELASTIC ANALYSIS OF A CURVED BEAM USING NURBS SOLID ELEMENTS

Abstract

We studied the number of Gaussian quadrature points for a curved beam in the NURBS-based isogeometric analysis. For comparison, a cantilever beam drawn by the B-spline function was also investigated. In the case of a cantilever beam, the number of quadrature points increased with the relation "degree (of B-spline) + 1". On the contrary, in the case of a curved beam, the degree did not affect clearly, but the number of elements or weight decided the number of quadrature points. Finaly, we propose a simple index that can be used to determine the number of quadrature points for NURBS solid elements.