T-splines computational membrane–cable structural mechanics with continuity and smoothness: I. Method and implementation

Abstract We present a T-splines computational method and its implementation where structures with different parametric dimensions are connected continuity smoothness. derive the basis functions in context of connecting 2D 1D dimensions. Derivation desired smoothness involves proper selection scale factor for knot vector structure results new control-point locations. While description focuses on $$C^0$$ C 0 $$C^1$$ 1 continuity, paths to higher-order marked needed. In presenting implementation, we refer as “membrane” “cable.” It goes without saying that applicable also other 2D–1D cases, such shell–cable shell–beam structures. test computations not only membrane–cable but The demonstrate how performs.