Abstract—A novel scheme of combining non-uniform rational Bsplines (NURBS) model with higher-order moment method (HOMM) is presented. The mesh precision of conforming to practical object is a major factor for HOMM to yield accurate results. In the present paper, NURBS technique is employed to model complex objects accurately with large curved Bezier patches and no factitious geometric discontin...

This paper presents the Fourier and wavelet characterization of vibratio...

Isogeometric analysis, as a special field of the finite element method (FEM) which integrates geometric and finite element mesh modelling, is one of the promising directions of FEM development. The paper presents a concept of isogeometric FEM analysis of thin-walled structures based on the Kirchhoff-Love shell formulation and NURBS as basis functions. The basic properties of isogeometric shell ...

In this paper we present an algorithm for planning the path of a 3 DOF mobile platform for a humanoid robot. It is simple enough to be executed online and yet powerful enough to generate a smooth path from starting point and orientation to a destination point with a different orientation. Thus we strive to achieve a human-like appearance of our robot that encourages the humans in vicinity to in...

Non Uniform Rational B-splines (NURBs) are proved to be very promising for metamodeling in engineering problems, because they have unique properties such as local modification scheme, strong convex hull property, and infinitely differentiability, etc. Since NURBs are defined by control points, knot vector, and weights associated with control points, the precision of NURBs is influenced by all o...

In this paper, we describe a general class of C1 smooth rational splines that enables, in particular, exact descriptions ellipses and ellipsoids — some the most important primitives for CAD CAE. The univariate are assembled by transforming multiple sets NURBS basis functions via so-called design-through-analysis compatible extraction matrices; different allowed to have polynomial degrees weight...

In this paper, we describe a general class of C1 smooth rational splines that enables, in particular, exact descriptions ellipses and ellipsoids — some the most important primitives for CAD CAE. The univariate are assembled by transforming multiple sets NURBS basis functions via so-called design-through-analysis compatible extraction matrices; different allowed to have polynomial degrees weight...

This paper presents an approach for isogeometric analysis of 3D objects using rational Bézier tetrahedral elements. In this approach, both the geometry and the physical field are represented by trivariate splines in Bernstein Bézier form over the tetrahedrangulation of a 3D geometry. Given a NURBS represented geometry, either untrimmed or trimmed, we first convert it to a watertight geometry re...

This paper presents a novel modeling technique and develops an interactive algorithm that facilitates the automatic determination of non-uniform knot vectors as well as other control variables for NURBS curves and surfaces through the unified methodology of energy minimization, variational principle, and numerical techniques. Many geometric algorithms have been developed for NURBS during the pa...