Article ID Journal Published Year Pages File Type
497633 Computer Methods in Applied Mechanics and Engineering 2015 19 Pages PDF
Abstract

To facilitate isogeometric analysis, this paper presents a new type of T-spline named the weighted T-spline, which introduces a new weighting idea to T-spline basis functions. Weighted T-spline basis functions satisfy partition of unity and are linearly independent. In addition, we apply the bicubic weighted T-splines to reparameterize trimmed NURBS surface patches. Edge interval extension is performed to reconstruct the trimming curve on the T-spline surface, and the trimming curve can be exactly preserved. Comparisons with standard T-splines show that the weighted T-splines can decrease the required number of control points and T-mesh elements. The surface error introduced by weighted T-spline basis functions is bounded (within 0.5%), and the error introduced by the trimming curve is constrained within its three-ring neighboring elements. Weighted T-spline models are also applied to solve the linear elasticity problems and Poisson’s equation, demonstrating that they can be used in isogeometric analysis.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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