Dear all.
I am programming a curved Timoshenko beam using NURBS interpolation. However, I can't find out how to numerically integrate the stiffness matrix.
For example: if an element is a B-spline curve composed of four cubic Bezier pieces, how can I perform numerical integration using gauss numerical integration.
I guess I can integrate one Bezier piece. However, I think it is not that simple if a finite element is composed of several Bezier pieces. can anyone help me? Thank you in advance.
Hi Dear Djamel Boutagouga
Maybe following articles could helpful for you.
Thank you Rafael Salehin.
I didn't find what I am looking for.
My question is how to numerically integrate a NURBS curve.
Thanks for raising such an interesting question. Probably some people would be interested in the following special issue.
"Modern Geometric Modeling: Theory and Applications II" (IF=2.258) (Deadline: February 28, 2022) URL: https://www.mdpi.com/journal/mathematics/special_issues/Modern_Geometric_Modeling_Theory_Applications_II
Video: https://www.youtube.com/watch?v=aomv_9-FGkU The scope of the Special Issue includes but is not limited to original research works within the subject of geometric modeling and its applications in engineering, arts, physics, biology, medicine, computer graphics, architecture, etc., as well as theoretical mathematics and geometry which can be applied to problems of geometric modeling. For this Special Issue, we plan to accept the following types of manuscripts:
- Overviews;
- Research manuscripts;
- Short manuscripts which discuss open problems in geometric modeling.
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- Science topic